6
Find the slope of the line that passes through
(-4, 7) and (-6,-4)
b) -2/11
a) 2/11
d) -11/2
c) 11/2

Answers

Answer 1

Answer:

c) 11/2

Step-by-step explanation:

(-4, 7) and (-6, -4)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - 7) / (-6 - (-4))

Simplify the parentheses.

= (-11) / (-6 + 4)

= (-11) / (-2)

Simplify the fraction.

-11/-2

= 11/2

This is your slope.

Hope this helps!


Related Questions


Francis borrowed $20 from his dad in the morning. Later, he gave his dad 8
dollars back. What rational number represents the overall amount of money Francis still owes his dad?

Answers

Answer:

13

Step-by-step explanation:

Francis borrowed 20$ and gives his dad 8$ he owes 12$ I hope it helps :)

The answer would be $12 still owed to his father.

i don't understand how to add the fractions

Answers

If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.

Answer:

5/4 or

1 and 1/4

Step-by-step explanation:

1/2 + 3/4 =  

1 × 2

2 × 2 + 3/4

=

2/4 + 3/4

=

2 + 3

----------

    4

so  

5/4 or

1 and 1/4

SOMEONE PLEASE HELP! I don’t know how to do this !

Answers

9514 1404 393

Answer:

  136

Step-by-step explanation:

The x-value at one end of the beam will be where f(x) = 0.

  0 = -x²/272 +17

  x² = 17(272) = 4624

  x = ±√4624 = ±68

The beam extends from x=-68 to x=68, so has a width of ...

  68 -(-68) = 136

__

Note that the x in the equation for f(x) is not the same as the x in the picture corresponding to width.

equation of the line that has a slope of - 1/2and passes through the points (4,5)

Answers

Answer:

y=-1/2x+7

Step-by-step explanation:

I think its that

Answer:

y = (1/2) x + 3

Step-by-step explanation:

The equation of linear functions is y = m x + b

In this case, we know m = 1/2 , and have point (4,5). We only need to find our y-intercept or b value.

What we can do is substitute what we know into our formula which will give us variable b, or the y-intercept. That will look like:

5 = (1/2) * 4 + b

5 = 2 + b

3 = b

So, the equation is y = (1/2) x + 3 :)

Kind of struggling with this would anyone be able to explain step by step? Id really appreciate it :)

Answers

Answer:

75

Step-by-step explanation:

this problem statement tries to confuse us. there is no pi involved - also because there are no round surfaces and edges involved.

what do you think the surface area of such a 4-sided pyramid consists of ?

think !

there are the 4 walls or sides. and then there is the bottom too (if you lift the pyramid up, yes, the "floor" or bottom also belongs to the surface area).

each "wall" or side is actually a triangle.

and the bottom is a square.

what is the area of a triangle (At) ?

At = base length × height / 2 = 3×11/2 = 33/2 in²

what is the area of a square (As) ?

it is a special form of a rectangle, where length = width.

the area of a rectangle (Ar) = length × width.

and the area of a square (As), where length = width is

As = side length × side length = length² = 3² = 9 in²

our pyramid now has 4 "walls", all of the same size, so we need 4 times the area of such a single triangle.

and then add the bottom area.

=> the pyramid surface area (Ap) is

Ap = 4 × At + As = 4×33/2 + 9 = 132/2 + 9 = 66+9 = 75 in²

Which statement about 'square root X - 5 minus square root X = 5'' is true?
x = –3 is a true solution.
x = –3 is an extraneous solution.
x = 9 is a true solution.
x = 9 is an extraneous solution.

Answers

Answer: x=9 is an extraneous solution

Step-by-step explanation:

Given

Function is [tex]f(x)=\sqrt{x-5}[/tex]

for function to exist

[tex]\Rightarrow x-5\geq 0\\\Rightarrow x\geq 5[/tex]

Therefore, 9 satisfies the  above equation. It is it's extraneous solution.

Simplify the expression below

Answers

Answer:

[tex]3\sqrt{10}[/tex]

Step-by-step explanation:

On a coordinate plane, line A B goes through (negative 2, 4) and (2, negative 8). Point C is at (6, 4).
Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?

(–6, 0)
(0, –6)
(0, 2)

Answers

Answer:

A. (-6,0)

Step-by-step explanation:

The point on the y-axis lies on the line that passes through point C and is perpendicular to line AB is (-6, 0). Therefore, option C is the correct answer.

Given that, on a coordinate plane, line AB goes through (-2, 4) and (2, -8). Point C is at (6, 4).

What is the slope of a line?

The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of that line.

The slope is represented by the letter m, and is given by, m = tan θ = (y2 - y1)/(x2 - x1)

Now, slope of line AB with (x1, y1) = (-2, 4) and (x2, y2) = (2, -8) is

Slope = m = (-8-4)/(2(-2)

= -12/4

= -3

Slope perpendicular to AB = -1/m = -1/(-3)

=1/3

Put m=1/3 and C(6, 4) in y=mx+c, we get

4 = 1/3 (6) + c

⇒ c = 4-2

⇒ c = 2

Substitute m=1/3 and c = 2 in y = mx+c

That is, y = x/3 + 2

⇒ 3y = x+6

Point on the y-axis lies is 3(0) = x+6

⇒ x=-6

So, the coordinate is (-6, 0)

The point on the y-axis lies on the line that passes through point C and is perpendicular to line AB is (-6, 0). Therefore, option C is the correct answer.

To learn more about the slope of a line visit:

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What is the volume of a sphere with a diameter of 57.1 cm, rounded to the nearest tenth of a cubic centimeter?

Answers

Answer:

so we have to use the formula 4/3PiR^3

which if we do we get the volume of

V≈97478.08

Answer:

V≈97478.08cm³

Step-by-step explanation:

Using the formulas

V=4/3πr3

d=2r

V=1/6πd3

D=1

1/6·πd3 1/6π ·57.13≈97478.07565cm³

I hope this helps. I worked hard on this one.

Complete the input-output table for the function y = 3x.

Input-Output table

Answers

Answer:

Y: 0, x:0

Y:1, x: 3

Y: 2, x: 6

Y: 3, x:9

Step-by-step explanation:

Plug in the x to get the y

Find the area of the triangle.
18 in.
25 in.

Answers

Answer:

225in

Step-by-step explanation:

Your answer is 225”

Basically multiply 18*25

Your answer will be 450

Then simply divide it by 2

You’ll get your answer, hope I could help

ILL GIVE YOU BRAINLIEST IF YOU GET IT RIGHT AND EXPLAIN A circular walkway surrounds a fountain.The fountain alone has a diameter of 16 feet.The walkway adds an additional 4 feet to each side. What is the area of the walkway minus the area of the fountain. Use 3.14 for Pi.​

Answers

Answer:

Step-by-step explanation:

[tex]A_{circle}=\pi r^2\\\\A=\pi r_{walkway}^2-\pi r_{fountain}^2\\\\A=\pi(20^2-16^2)=244\pi[/tex]

use a calculator fo find the value

Answer:

a = 452.16 ft²    area of walkway

a = -351.68 ft²   area of the walkway minus the area of the fountain

Step-by-step explanation:

Area fountain

a = π16²

a = 256π

Area fountain and walkway

a = π(16 + 4)²

a = π20²

a = 400π

Area Walkway

a =400π - 256π

a = 144π

a = 144 * 3.14

a = 452.16 ft²

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

I think the Area of the Walkway is what the question should be asking for, but it asked for

"the area of the walkway minus the area of the fountain"

a = 144π - 256π

a = -112π

a = -112 * 3.14

a = -351.68

10t+[tex]\geq[/tex]130+3.5t

Answers

Answer:

The answer is [tex]t\geq 20[/tex].

Step-by-step explanation:

To solve the inequality, start by solving for the variable [tex]t[/tex].

To solve for the variable [tex]t[/tex], subtract [tex]3.5t[/tex] from both sides. The inequality will look like [tex]6.5t\geq 130[/tex].

Then, divide both sides by 6.5 in order to get the variable [tex]t[/tex] by itself. The inequality answer will look like [tex]t\geq 20[/tex].

Cary calculated the surface area of a box in the shape of a rectangular prism. She wrote the equation 148 = 2 (6w + 6h + hw) to represent the width and height of the box. She solved for w and got w = StartFraction 74 minus 6 h Over h + 6 EndFraction Which of the following is an equivalent equation?

Answers

Answer:

the answer is w = 148-12h/12+2h

The equivalent equation is -

[tex]$w=\frac{74-6h}{h+6}[/tex]

We have the equation written by Carly → 148 = 2 (6w + 6h + hw) that represent the width and height of the box in the shape of a rectangular prism.

We have to solve for w.

What do you mean by Equivalent expression ?

Any expression written in a form different from the original form, but gives same result for any input are called equivalent expressions.

Solve for x :  [tex]$log(\frac{x}{\omega}) = 2\pi[/tex]

We have -  

[tex]$log(\frac{x}{\omega}) = 2\pi[/tex]

log(x) - log(ω) = 2π

log(x) = 2π + log(ω)

x = [tex]e^{(2\pi + log(\omega))} = e^{2\pi } \times e^{log(\omega)}[/tex]

According to the question, we have -

148 = 2 (6w + 6h + hw)

(6w + 6h + hw) = 74

hw + 6w = 74  - 6h

w(h + 6) = 74 - 6h

[tex]$w=\frac{74-6h}{h+6}[/tex]

Hence, the equivalent equation is -

[tex]$w=\frac{74-6h}{h+6}[/tex]

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d. The equation of a line is y+6=-9(x - 1). The slope of the line is and the y-intercept is A point on the line is​

Answers

Answer: The equation of a line is y+6=-9(x-1). The slope of the line is -9 and the y-intercept is 3. A point on the line is (0, 3)

Step-by-step explanation:

Let's start by putting it in slope intercept form.

First use the distributive property

[tex]y+6=-9(x-1)\\y+6=(-9)(x)+(-9)(-1)\\y+6=-9x+9[/tex]

Now subtract 6 from both sides

[tex]y+6-6=-9x+9-6\\y=-9x+3[/tex]

Now it is in slope intercept form (y=mx+b)

In slope intercept form the slope of the line is the value m. In our equation the value m is -9 making that our slope.

In slope intercept form the y-intercept of the line is b. In our equation the value of b is 3 making that our y-intercept.

To find a point on the line we can sub x with any number to find the y so that we can find the coordinate.

[tex]y=-9(0)+3\\y=0+3\\y=3[/tex]

A point on the line is (0, 3)

Marty decided he wants to run a 5K race. He is starting by running 1 3/4km and adding 1/2km each day. How many days will it take him to reach his goal?

Answers

Answer:

2day I think might not be right

The number of days it will take him to reach his goal is 6.5 days.

Given that, Marty decided he wants to run a 5 km race.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of days be x.

He is starting by running [tex]1\frac{3}{4} =\frac{7}{4}[/tex] km and adding 1/2km each day.

Now, 7/4 +1/2 x= 5

⇒ 1/2 x= 5-7/4

⇒ 1/2 x=13/4

⇒ x=6.5 days

Therefore, the number of days it will take him to reach his goal is 6.5 days.

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Find the distance between the two points in simplest radical form HELP​

Answers

Given:

The two points on the graph.

To find:

The distance between the two points in simplest radical form.

Solution:

From the given graph, it is clear that the two points on the graph are (-9,3) and (-3,-2).

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:

[tex]d=\sqrt{(-3-(-9))^2+(-2-3)^2}[/tex]

[tex]d=\sqrt{(-3+9)^2+(-5)^2}[/tex]

[tex]d=\sqrt{(6)^2+(-5)^2}[/tex]

On further simplification, we get

[tex]d=\sqrt{36+25}[/tex]

[tex]d=\sqrt{61}[/tex]

Therefore, the distance between the given points is [tex]\sqrt{61}[/tex] units.

4 + 9x + 8 + 3x + 5 + 2
Simplify the expression by combining the like terms

Answers

Answer:

12x+19

Step-by-step explanation:

First you would find the like terms. There is 9x and 3x, and 5, 2, 4, and 8. If you combine 9x and 3x, you get 12x, and if you combine 5, 2, 4, and 8, you get  19. You then combine your two answers to get 12x+19.

Answer:

12x + 19

Step-by-step explanation:

Add the exponents and then add the numbers.

please help zkhdusjdushs​

Answers

Answer:

48

Step-by-step explanation:

16×3=48

therefore the answer is forty eight

A three-layer chocolate cake costs $24 and serves 16 . What is the cost per slice?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

$1.50

»»————- ★ ————-««  

Here’s why:  

Assuming that the cake has one slice per person (16 slices):

⸻⸻⸻⸻

[tex]\frac{\text{price}}{\text{slice}}\\\\\rightarrow \frac{24}{16}\\\\\rightarrow \boxed{1.50}[/tex]

⸻⸻⸻⸻

Each slice should cost $1.50.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or green. Half of the numbers 1 - 36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. What is the probability of landing on an number greater than 12?​

Answers

Answer:

.6315 or 63.15%

Step-by-step explanation:

not sure if the question is trying to be tricky, but there are 0 and 00 which makes a total of 38  numbers on the wheel (and they are less than 12)

24/38 = .6315

Add - 3/x + 7y/x .
-4y/2x
-3 + 7y/x
- 10y/x
-3 + 7y/2x

Answers

Answer:

[tex]-\frac{3}{x} + \frac{7y}{x} = \frac{-3+ 7y}{x}[/tex]

Step-by-step explanation:

Given

[tex]-\frac{3}{x} , \frac{7y}{x}[/tex]

Required

Add

The statement can be interpreted as:

[tex]-\frac{3}{x} + \frac{7y}{x}[/tex]

Take LCM

[tex]-\frac{3}{x} + \frac{7y}{x} = \frac{-3+ 7y}{x}[/tex]

I would greatly appreciate it if someone could help me with this. A car travelled 400 km in 5 hours. Joe calculated the speed as 80 km/h but, when he graphed the relation, he calculated a slope of 0.0125. What do you think Joe did incorrectly?​

Answers

It sounds like Joe calculated 5/400 = 0.0125

He divided in the wrong order. It should be 400/5 = 80 since we divide distance over time to get the speed (or rate).

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

In terms of x and y, we basically are saying

slope = rise/run

slope = (change in y)/(change in x)

slope = (change in distance)/(change in time)

slope = (400 km)/(5 hrs)

slope = 80 km per hour is the speed

the students in charge of the class booth at a carnival would like to earn $3 for every item they sell. they spent $55 for the materials to make the items. solve the inequality 3x-55_>65 which represents how many items they need to sell to make profit of at least $65

Answers

Answer:

x ≥ 40

Step-by-step explanation:

3x - 55 ≥ 65

combine like terms

3x  ≥ 65 + 55

3x  ≥120

divide both sides of the equation by 3

x  ≥ 40

Write each as the sum of two terms, each
in the form tn,r.
a) t19,11
b) t25,16
c) t14,7​

Answers

9514 1404 393

Answer:

  a) t18,10 + t18,11

  b) t24,15 + t24,16

  c) t13,6 +t13,7

Step-by-step explanation:

Each term of Pascal's triangle is the sum of the two terms above it in the triangle:

  tn,r = t(n-1),(r-1) +t(n-1),r

__

a) t19, 11 = t18,10 + t18,11

b) t25,16 = t24,15 + t24,16

c) t14,7 = t13,6 +t13,7

I need help ASAP anyone

Answers

Answer:

90

Step-by-step explanation:

there is 6 sides of box

2 bigger and 4 smaller

area of bigger side is 5×5 = 25 this is the area of one side as we have 2 sides so are of both sides is 25 + 25 = 50

now come to the smaller sides ( we have 4 here)

are of one side is 2× 5 = 10

so are of all 4 sides is 10× 4 = 40

now we get area of 4 smaller sides and 2 bigger sides

total area of box is 40+ 50 = 90

hope you understand

According to the general equation for conditional probability, if P(An B9 =
001 -
and P(B)
=
7
18
what is P(
AB)?
A. 5/7
B. 3/7
C. 4/7
D. 2/7

Answers

P is answer A .5/7 for ur question

Excel Assignment

Samsung manufactures cellphone with an average standby time of 10 hours between charges. The standby time of the cellphone is normally distributed. During the design stage, the quality engineering staff recorded 18 observations of the standby time of the cellphone. Using the observations below, is there evidence that the average standby time of a Samsung cellphones is not 10 hours? Use a level of significance of .05

Observation

Observations

Time

1

10.85

2

11.4

3

10.81

4

10.24

5

10.23

6

9.49

7

9.89

8

10.11

9

10.57

10

11.21

11

10.1

12

11.22

13

10.31

14

11.24

15

9.51

16

10.52

17

9.92

18

8.33

Answer the following questions:

What is the null and alternative hypothesis to the case above?
Copy the data into excel and do an analysis to test the hypothesis
What is the conclusion of your analysis?
Develop the 95% confidence interval.

Answers

18

Step-by-step explanation:

hduduxjajahxhuddixisuduvic

Solve the equation using the distributive property and properties of equality
3(x+6) = 18
What is the value of x?

6
7 1/2
14 1/2
30

Answers

Answer:

0

Step-by-step explanation:

3(x+6)=18

3x+18=18

3x=18-18

3x=0

3x/3=0/3

x =0

Idling is going on a walk tomorrow so we should have her parents tomorrow to celebrate our anniversary and then go back home and watch a show

A large soda bottle cap has a radius of 1+2 /2 centimeters. What is the area of the bottle cap? (R the area of a circle is no where r is the radius). 1 + 2v2 A. (5-12 - square IT square centimeters​

Answers

Answer:

bottle top

Step-by-step explanation:

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