Determine the quadrant(s) in which (x, y) could be located. (Select all that apply.) x > 0 and y < 0 Quadrant I Quadrant II Quadrant III Quadrant IV none of these

Answers

Answer 1

Answer:

Quadrant IV

Step-by-step explanation:

If x is greater than 0, then it will remain on the right side, on quadrants I and IV. If y is less than 0, then it will be on the bottom, so we are left with quadrant IV:

x is greater than 0, so all possible values are positive

y is less than 0, so all possible values are negative

(x,-y)

Answer 2
The quadrant is the region contained by the junction of the X-axis and the Y-axis. A cartesian surface contains four quadrants formed whenever the X-axis and Y-axis connect with one another.Numbers that have a positive or negative sign were referred to as the 'directed numbers' We could find those numbers mostly on the number line without any difficulty at all.In the question, it is given that x is greater than 0 which applies that x has a positive value, and y is less than 0 which applies that y has a negative value. Example: (x,-y)

Following are the description of the wrong choice:

In the first Quadrant, (x,y) both -axis values are positive that's why it is wrong.In the second Quadrant, the x-axis has a negative value and the y-axis has a positive value that's why it's wrong.In the third Quadrant, (x,y) both -axis has the negative value that's why it is wrong.

That's why the "Quadrant IV" is the correct answer.

Learn more:

quadrant: brainly.com/question/7196054
Determine The Quadrant(s) In Which (x, Y) Could Be Located. (Select All That Apply.) X &gt; 0 And Y &lt;

Related Questions

daniel thinks of a number and subtracts 2
from it. He divides 32 by the result. If
his answer is 4, what number does he
think of​

Answers

Answer:

the number is 126

Step-by-step explanation:

1) multiply each side by 32: (n-2) / 32 = 4

2) subtract 2 from each side: n-2 = 128

3) n = 126

Answer:

130

Step-by-step explanation:

So basically this number, minus 2, divided by 32 is 4, so lets write the unknown number as x.

So, (x-2)/32 = 4.

First multiply both sides by 32 to get rid of the denominator.

(32)(x-2)/32 = 4(32)          x-2 = 128

Now the -2 remains to figure out x, so you add 2 to both sides to get rid of the -2.

So, x-2+2 = 128+2,    -2 +2 is 0, and 128 +2 is 130, so you have x = 130.

What is the value of x in the equation 3x-4y=65, when y =4 will give brainliest

Answers

Hello!

Answer:

[tex]\huge\boxed{x = 27}[/tex]

Given:

3x - 4y = 65 where y = 4;

Substitute in 4 for "y":

3x - 4(4) = 65

Simplify:

3x - 16 = 65

Add 16 to both sides:

3x - 16 + 16 = 65 + 16

3x = 81

Divide both sides by 3:

3x/3 = 81/3

x = 27.

Hope this helped you! :)

Answer:

x=27

Step-by-step explanation:

3x-4y=65

Let y=4

3x - 4(4) = 54

3x -16 = 65

Add 16 to each side

3x -16+16 = 65+16

3x = 81

Divide each side by 3

3x/3 =81/3

x =27

Simplify 7.5 + n + 9.63.

Answers

Answer: Hi!

The only thing we're able to do to simplify this equation is combine our like terms. We have two like terms in the equation: 7.5 and 9.63.

7.5 + 9.63 = 17.13

Our equation now looks like this:

n + 17.13

We have nothing left to simplify, so we're done!

Hope this helps!

I got this wrong please help me get the right answer in the first little box marked in red. thx

Answers

Answer:

The inverse is 1/2x +2

Step-by-step explanation:

f(x) = 2x-4

y= 2x-4

To find the inverse

Exchange x and y

x = 2y-4

Solve for y

Add 4 to each side

x+4 = 2y

Divide by 2

x/2 + 4/2 = 2y/2

1/2x +2 = y

The inverse is 1/2x +2

if the mean of 3 2 x 11 13 14 is 8 find the value of x​

Answers

Answer:

x=5

Step-by-step explanation:

To find the mean, add up all the numbers and then divide by the number of numbers

(3+ 2+x+ 11+ 13+14)/6 = 8

Multiply each side by 6

(3+ 2+x+ 11+ 13+14) = 48

Combine like terms

43+x = 48

Subtract 43 from each side

x =5

Answer:

[tex]\huge \boxed{{x=5}}[/tex]

Step-by-step explanation:

The mean is the average value of a data set.

[tex]\displaystyle \sf mean = \frac{sum \ of \ terms}{number \ of \ terms}[/tex]

The mean is given solve for x.

[tex]\displaystyle 8 = \frac{3+2+x+11+13+14}{6}[/tex]

Multiply both sides by 6.

[tex]\displaystyle 8(6) = \frac{3+2+x+11+13+14}{6} \times (6)[/tex]

[tex]48=3+2+x+11+13+14[/tex]

Combine the numbers on the right side of the equation.

[tex]48=x+43[/tex]

Subtract 43 from both sides.

[tex]48-43=x+43-43[/tex]

[tex]5=x[/tex]

what is the answer to (x+1)(3x+2)

Answers

The answer is 3x2+5x+2

Answer ASAP, will give brainliest!!

Answers

Answer:

Step-by-step explanation:

77; The formula to calculating the area of a trapezoid is (a+b)/2 * c. a+b are the 2 parallel lines, and c is the height or the altitude. So, it is (10+12)/2 * 7, which is 22/2 * 7 = 11*7=77 :)

PLEASE HELP ILL LOVE U FOREVER
In Exercise 4, find the surface area of the solid
formed by the net.

Answers

Answer:Exact Surface Area = [tex]480+32\sqrt{3}[/tex]Approximate Surface Area = 535.425625842204

Round the approximate value however you need to

Units are in square centimeters.

===================================================

Work Shown:

You have the 160 portions correct since 20*8 = 160.

The other pieces are equilateral triangles, in which we use the formula

[tex]A = \frac{\sqrt{3}}{4}x^2[/tex]

where x is the side length of the triangle. Plug in x = 8 to get

[tex]A = \frac{\sqrt{3}}{4}x^2\\\\A = \frac{\sqrt{3}}{4}8^2\\\\A = \sqrt{3}*\frac{1}{4}*64\\\\A = \sqrt{3}*16\\\\A = 16\sqrt{3}\\\\[/tex]

That's the exact area of one triangle, but we have two of them. Double the result to get [tex]2*16*\sqrt{3} = 32\sqrt{3}[/tex]

The total surface area is the sum of all the smaller areas

[tex]160+160+160+32\sqrt{3} = 480+32\sqrt{3}[/tex]

--------------------------

The exact surface area is [tex]480+32\sqrt{3}[/tex] square cm.

Using a calculator, you should get [tex]480+32\sqrt{3} \approx 535.425625842204[/tex]

Round this however you need to.

how many are 9 raised to 2 ???​

Answers

Answer:

[tex]\boxed{81}[/tex]

Step-by-step explanation:

9 raised to 2 is

=> [tex]9^2[/tex]

=> 9 * 9

=> 81

2. The ratio of
the profit, cost of
materials and labour
in the production of
an article is 5:7:13
respectively. If the
cost of materials is Le
840 more than that of
labour, find the total
cost of producing the
article​

Answers

Answer:

3500

Step-by-step explanation:

Given the  ratio of  the profit, cost of  materials and labour  in the production of

an article to be 5:7:13 respectively, total ratio = 5+7+13 = 25

If the cost of labour is x, the cost of material will be 840+x (since the  cost of materials is Le  840 more than that of  labour)  .

Let the total cost of producing the article be y.

Cost of labour = 13/25 * y = x

Cost of labour  = 13y/25 = x.................... 1

Cost of material = 7/25*y = 840+x

Cost of material = 7y/25 = 840+x ..................... 2

From 1, 13y = 25x

x = 13y/25 ................... 3

Substituting equation 3 into 2:

7y/25 = 840+x

7y/25 = 840+13y/25

collect the like terms:

7y/25 - 13y/25 = 840

-6y/25 = 840

-6y = 25*840

y = 25*840/6

y = 3,500

Hence the total cost of producing the article is 3500

Simplify


(3x + 14) + (19x - 35)

Answers

Answer:

22x -21

Step-by-step explanation:

(3x + 14) + (19x - 35)

Combine like terms

3x+19x   + 14-35

22x   -21

A pyramid has a square base with an area of 169 ft.² what is the perimeter of the base of the pyramid

Answers

Answer:

52

Step-by-step explanation:

Square root of 169 is 13.

SInce it is a square all sides are same length. So you could do 13x4 or 13+13+13+13. Both will equal to 52.

The perimeter of the base of the pyramid is 52 square feet.

Given that,

The pyramid contains a square base having an area of 169 square feet.

We know that,

Area of the square = side^2

169 = side^2

So, the side is 13 feet.

So, the perimeter should be

= 4 × sides

= 4 × 13

= 52 feet

Therefore, we can conclude that The perimeter of the base of the pyramid is 52 square feet.

Learn more about the square here: brainly.com/question/14198272

Please help I did the first 2 already.

Answers

The answer to C is 1.5 or 3/2

Since we know that 2x is equal to 3 because the solution is three and 3+3=6 then we divide 3 by 2 to get 3/2

the product 9f 2 numbers is 16/9 . if one number is 5 /2 find the other number​

Answers

Answer:

The answer is 32/45

Step-by-step explanation:

Let the number be x

The product of two numbers is 16/9

That's

x × y = 16/9

One of the numbers is 5/2

That's

y = 5/2

So we have

[tex] \frac{5}{2} x = \frac{16}{9} [/tex]

Multiply through by the LCM

The LCM of 2 and 9 is 18

That's

[tex]18 \times \frac{5}{2} x = \frac{16}{9} \times 18[/tex]

9 × 5x = 16 × 2

45x = 32

Divide both sides by 45

we have the final answer as

[tex]x = \frac{32}{45} [/tex]

Hope this helps you


What is the center of a circle with the equation (x - 6)2 + (y + 2)2 = 9?
A)
(6,2)
B)
(6,-2)
0)
(-6, 2)
D)
(-6, -2)

Answers

Answer:

B. (6,-2)

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2

The center of the circle is (h,k)

So, in this problem, h is 6 and k is -2, so the center of this circle is (6,-2).

Someone please help! Thank you

Answers

I think the answer would be D, but I’m not sure.

Answer:

Hey there!

We can write a equations here:

3x+y=180

Also, since all of the angles have 3x on the outside, then y must be constant.

3y=180

y=60

Thus, for x, we have 3x+60=180, 3x=120, x=40.

2x+6y

2(40)+6(60)

80+360

440.

Let me know if this helps :)

A bus travels from Station A to Station B, and a truck travels from Station B to Station A on the same road. The speed of the bus is 54 km/h, and the speed of the truck is 48 km/h. After they pass each other, they continue drive to the destinations. Once they reach the destination, they turn around to continue travel along the same road. When they meet again, the bus travels 216 km more than the truck. What is the distance between the two stations in kilometers?

Answers

Answer:

The distance between the two train stations is 1728 km

Step-by-step explanation:

The speed of the bus = 54 km/h

The speed of the truck = 48 km/h

When the bus and truck meet again, the distance covered by the bus = 216 km more than he distance traveled by the truck

Let the distance between the two train stations = x

Let the location where they first meet be y from station A we have;

The location where they meet again = y - 216 km

Therefore, we have;

Location where they

The time for the truck and the bus to meet again = t

Therefore, 54 × t - 48 × t = 216 km

6·t = 216 km

t = 36 hours

Therefore, the time for the bus to travel x + 216 km = 36 hours

54 × 36 = 1944 = x + 216

x = 1944 - 216 = 1728 km

The distance between the two train stations = 1728 km.

Four witches are making a brew.Patricia puts in x frogs legs.sheila puts in five more than patricia.Anne puts double the amount that Sheila adds,and Winifred adds three times the number Sheila adds.
write down an algebraic expression for:
Sheila. Anne. Winifred

Answers

Answer:

see explanation

Step-by-step explanation:

Given Patricia puts in x frogs legs, then

Sheila puts in x + 5 ( 5 more than Patricia )

Anne puts in 2(x + 5) ( double the amount of Anne )

Winifred puts in 3(x + 5) ( three times the number of Sheila )

Question 9(Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the
graph of y = f(x) with the graph of y = f(x - 9)?
The graph of y = f(x) will shift up 9 units.
The graph of y = f(x) will shift down 9 units.
The graph of y = f(x) will shift left 9 units.
The graph of y = f(x) will shift right 9 units.

Answers

Answer:  D) right 9 units

Step-by-step explanation:

The Vertex form of a quadratic equation is: y = a(x - h)² + k     where

a is the vertical stretch or shrink(x, h) is the vertex

        → h is the horizontal shift (+ is right, - is left)

        → k is the vertical shift (+ is up, - is down)

y = f(x - 9)

            ↓

           h=9

Since h is positive, the graph moves 9 units to the RIGHT

Answer:

The graph of y = f(x) will shift right 9 units.

Step-by-step explanation:

If the -9 is inside the parenthesis, the graph g(x) shifts 9 points to the right.

What is the area of the trapezoid shown below?

Answers

Answer:

180 units

Step-by-step explanation:

In order to solve this, we need to find the length of the missing side of the triangle using the Pythagorean theorem.

a²+b²=c²

a= 7

b=x

c= 25

7²+x²=25²

49+x²=625

Subtract 49 from both sides

x²=576

x=24

The length of the missing side of the triangle is 24, which is also the base of the triangle. We need to find the area of the triangle so we use the formula for the area of a triangle, A=1/2bh.

A= 1/2 (24 x 7)

A=84

Now, we need to find the area of the rectangle.

Formula for area of rectangle: A= bh

A= bh

A= 4 x 24

A= 96

Next, we add the areas of both shapes to get the area of the entire figure.

96+84=180

Area of figure= 180

Answer:

area = 180

Step-by-step explanation:

will make it simple and short

area of a trapezoid = (a + b) h/2

h = sqrt(25² - 7²) = 24

Area = (4 + 11) * 24/2

area = 180

HE SODA MACHINE
The soda machine at your school offers several types of soda. There are two buttons for your favorite drink, Blast,
while the other drinks (Slurp, Lemon Twister, and Diet Slurp) each have one button.
Describe the input and output of this soda machine.
While buying a soda, Ms. Whitney pushed the button for Lemon Twister and got a can of Lemon Twister.
Later she went back to the same machine, again pushing the Lemon Twister button, but this time she got a can
of Blast. Is the machine functioning consistently? Why or why not?
BLAST
BLAST
BLUSO
ooo
Students, write your resnonsel

Answers

Answer:

yes and no

Step-by-step explanation:

if a machine is work a lot lot LOT, then it might be jamed

or the teacher might have accidentally pressed blast and you might have not seen the buttons correctly

( also i am not a student of yours )

A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school collected during the two days. {12x + 4y = 15232x + 12y = 420 In the equations, x represents the cost of a chicken lunch and y represents the cost of a vegetarian lunch. Which is the cost of the vegetarian lunch?

Answers

Answer:

  11

Step-by-step explanation:

The two equations appear to be ...

12x +4y = 15232x +12y = 420

These can be solved for y using Cramer's rule:

  y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11

The cost of the vegetarian lunch is 11.

_____

Comment on Cramer's Rule

For equations ...

  ax +by =c

  dx +ey = f

The solutions are ...

  x = (bf -ey)/(bd -ea)

  y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression

Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.

Answer:

11

Step-by-step explanation:

quick mafs

What’s the value of X in this triangle

Answers

Answer:

x = 69.4

Step-by-step explanation:

law of sines

sine x/4 = sine 55/3.5

x = ( sine(55) * 4 ) / 3.5

x = inv sine (0.936)

x = 69.4

A carpenter has a 10 1/2 foot wood plank. He cuts off 4 1/4 feet to replace a deck board as well as 3 2/3 feet to repair a step. He uses the rest of the plank for a shelf. How many feet of wood does the carpenter have for the shelf? PLEASE SHOW YOUR WORK AND EXPLAIN HOW YOU GOT THE ANSWER PLEASE I WILL MARK YOU BRAINIEST.

Answers

Answer:

The carpenter used 2 7/4 feet of plank for the shelf

Step-by-step explanation:

Total length of plank =10 1/2 foot

He used

For Deck board=4 1/4 feet

Step=3 2/3 feet

Shelf=x feet

Total plank=deck board + step + shelf

10 1/2 = 4 1/4 + 3 2/3 + x

Change the fractions

21/2 = 17/4 + 11/3 + x

Add 17/4 + 11/3

21/2 =51+44/12 + x

21/2= 95/12 + x

Collect like terms

21/2 - 95/12 =x

126-95/12 = x

31/12=x

2 7/12 =x

Therefore, the carpenter used 2 7/4 feet of plank for the shelf

Answer:

Step-by-step explanation:

Total length of plank =10 1/2 foot

He used

For Deck board=4 1/4

Step=3 2/3

Shelf=x

Total plank=deck board + step + shelf

10 1/2 = 4 1/4 + 3 2/3 + x



While sailing, Jacob is 150 feet from a lighthouse. The angle of elevation from his feet on the boat (at sea level) to the top of the lighthouse is 48°

What can you conclude about the height of the lighthouse, with respect to Jacob's distance from the lighthouse? Explain your answer.

Answers

Answer:

The height of the lighthouse is approximately 166.6 feet.

Step-by-step explanation:

Let the height of the lighthouse be represented by s, then;

Tan 48° = (opposite) ÷ (adjacent)

Tan 48° = s ÷ 150

⇒ s = 150 × Tan 48°

      = 150 × 1.1106

     = 166.59

s ≅ 166.6 feet

Therefore, the height of the lighthouse is approximately 166.6 feet.

Answer:

The height of the lighthouse is approximately 42.

Step-by-step explanation:

This situation forms a right triangle so the angles would be 90 and 48

90+48+x=180

138+x=180

x=180-138

x=42

4x3+ 13x2 + 5x- 4 is divided by x+ 1?

Answers

Answer:

The quotient to this equation is 4x² + 13x + 1

Step-by-step explanation:

When we divide exponents, we subtract the exponential numbers.

4x³ + 13x² + 5x - 4 / x + 1

Now, we divide. For this problem, we are only dividing the like terms of x because anything divided by 1 will equal to itself.

4x² + 13x + 5 - 4

Now, we combine like terms.

4x² + 13x + 1

The citizens of a certain community were asked to choose their favorite pet. The pie chart below shows the distribution of the citizens' answers. If there are 140,000 citizens in the community, how many chose Fish or Cats?

Answers

Incomplete Question:

The content of the pie chart is as follows:

Hamsters  = 9% ; Snakes  = 10% ; Cats  = 23%

Birds  = 21% ;  Dogs  = 26% ;  Fish  = 11%

Answer:

The number of citizens who chose cat or fish is 47,600

Step-by-step explanation:

Given

Number of citizens = 140,000

Required

Determine the number of those that chose fish or cats

First, we need to calculate the percentage of those whose pets are either cats or fish

[tex]Percentage = Cat + Fish[/tex]

Substitute 23% for cat and 11% for fish

[tex]Percentage = 23\% + 11\%[/tex]

[tex]Percentage = 34\%[/tex]

Next, is to multiply the calculated percentage by the number of citizens

[tex]Cat\ or\ Fish = Percentage * Number\ of\ Citizens[/tex]

[tex]Cat\ or\ Fish = 34\% * 140000[/tex]

[tex]Cat\ or\ fish = 47600[/tex]

Hence, the number of citizens who chose cat or fish is 47,600

the number of citizens who chose cat or fish is 47,600

The calculation is as follows;

= Number of citizens × total percentage

[tex]= 140,000 \times (23\% + 11\%)\\\\= 140,000 \times 34\%[/tex]

= 47,600

Learn more: https://brainly.com/question/17429689?referrer=searchResults

You have this information about ΔABC, ΔFDE, and ΔGIH:

AB = DF

AB = GI

BC = HI

DE = HI

m∠B = m∠D = m∠I

Which triangles must be congruent?

Answers

The triangle ABC, triangle FDE, and triangle GIH are congruent with each other.

What is a triangle?

Three sides and three internal angles define a triangle, a basic shape. The symbol is used to represent one of the geometric shapes in which the three corners are connected to one another. Triangles are categorized according to their sides into numerous different forms.

As per the given data in the question,

Sides AB = DF, AB = GI, BC = HI, and DE = HI are equal to each other.

Also, the angles, m∠B = m∠D = m∠I are equal.

Then by the property of the side angle side all the triangles are congruent with each other.

To know more about Triangle:

https://brainly.com/question/2773823

#SPJ3

Answer:

A.  ΔABC, ΔFDE, and ΔGIH

Type the correct answer in the box. Use numerals instead of words.
Find the area of this shape.
4 cm
2 cm
4 cm
4 cm
5.75 cm
The area of the shape is
square centimeters.

Answers

Answer:

35 cm squared

Step-by-step explanation:

Triangle area = bxh 2 = 5.75 x 8 / 2 = 23

Trapezium Area  = a+b /2 x h = 8 + 4 /2 x 2 = 12

23 + 12 = 35

Hope that helped!!! k

Answer: 35cm^2

Explanation:

Find the area of trapezoid:

A = (8 + 4)2/2 = (12 x 2)/2 = 24/2 = 12

Find the area of the triangle:

A = (8 x 5.75)/2 = 4 x 5.75 = 23

Find the area of the whole shape:

A (trapezoid) + A (triangle) = A (whole shape)

12 + 23 = 35 = A (whole shape)

Why do you think that when subtracting a negative
number, in reality you are adding it? (For example: 1-
(-1) = 1+1=2)​

Answers

Answer:

See explanation

Step-by-step explanation:

When we have a positive number and a negative number, let's imagine it with a number line.

<-----------0----------->

If we have the positive number 1:

<-----------0--1-------->

And we want to subtract 1 from it, the number would move to the left

1 - 1 = 0

<-----------0----------->

However, if we were to subtract a negative number, they are opposites. It can't move to the left because that's what a positive number does. The only other way to go: right.

1 + -1 = 2

<-----------0--1--2----->

Hope this helped!

Other Questions
Which phrase describes a feature of a constitutional liberal democracy? A- closed-session voting without journalists present B- a highly centralized government administration C- leaders who are military officials or religious clerics D- a system of laws that applies to leaders and citizens equally A circle has a radius of 26.85 inches. What is the circumference of this circle? Use 3.14 for pi. Round your final answer to the nearest tenth. Enter your answer as a decimal in the box. the first choose dropdown has :0.25 and 4 then is the scale factor an enlargement or not THE TRIANGLE ON THE LEFT IS 1.5 AND THERE IS AN ARROW GOING INTO A BIGGER TRIANGLE THAT IS 6 Under Roosevelts leadership, the United States sent troops to occupy? Which property justifies the following equation? 7[6+5+(-6)] = [6+(-6)+5] A.distributive B.commutative C.associative D.identity Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers (k)left parenthesis, k, right parenthesis she can drive with 12 liters of fuel. She assumes the relationship between kilometers and fuel is proportional.How many kilometers can Pamela drive with 12 liters of fuel? By the end of the Ming Dynasty, how many ports did they have open for trade?A. 1,500B. 3,000C. 500D. 3 a number has 2,5 and 7 as its prime factors. what are the four smallest values it and take What is 25x + 67y if x = 23 and y = 36. Give explanation please! Can someone help?????????? Please Help Asap will give brainliest!!! M(9, 8) is the midpoint of side RS.The coordinates of S are (10, 10). What are the coordinates of R? No nonsense answers will report and give explanation plz. who is the father of Genetic help please! Darren is finding the equation in the form y = m x + b for a trend line that passes through the points (2, 18) and (3, 8). Which value should he use as b in his equation? a) 34 b) 19 c) 2 d) 14 Fill in the blank:Juan experienced a _____ memory during therapy for depression. This type of memory is a memory that is formed, but never really happened. During his depression, he remembered many sad times in his life because of his mood and emotions. Juan experienced_____ -dependent recall Which of the following functions has a vertical asymptote at x = 2, a horizontalasymptote at f(x) = 1, and a root at x = -1?A.f(x) = 2 + 1B.f(x) = x 2 + 1c.f(x) = x 2 - 1D.f(x) == +1 Jayden, who burns 345 calories in 45 minwhile hiking is preparing for a 6 hour hike.He uses a special supplement beveragepack that provides water, neededelectrolytes, and 310 calories. The goal is toreplace roughly 1/3 of the calories burnedwhile carrying as light a load as possible.How many packs should he take? What the correct answer now Find the constant of proportionality (r) in the equation y = r x Find the area of quadrilateral ABCD. [Hint: the diagonal divides the quadrilateral into two triangles.]A. 28.93 unitsB. 29.98 unitsC. 29.79 unitsD. 30.73 units An inventive child wants to reach an apple in a tree without climbing the tree. Sitting in a chair connected to a rope that passes over a frictionless pulley, the child pulls on the loose end of the rope with such a force that the spring scale reads 250 N. The childs true weight is 320 N, and the chair weighs 160 N. (a) Show that the acceleration of the system is upward and find its magnitude. (b) Find the force the child exerts on the chair. marking as brainliest:)Given that f(x)=-x+4 and g(x)=-2x-3, solve for f(g(x)) when x=2.