Give the domain and range of the relation th
1. {(-3, 3), (1, 1), (0, -2), (1, -4), (5, -1)}
Domain:
Range:
Function?
What is it

Answer:

Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]

Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]

Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]

Step-by-step explanation:

Image 1:

We need to Find area of trapezoid.

The formula used is: [tex]Area=\frac{1}{2}h(b_1+b_2)[/tex]

where h is height and b₁ and b₂ are parallel sides.

Looking at the figure we get:

h = 2xy

b₁ = 4x²y

b₂ = 7x²y

Putting values and finding area:

[tex]Area=\frac{1}{2}h(b_1+b_2)\\Area=\frac{1}{2}\times 2xy(7x^2y+4x^2y)\\Area=\frac{1}{2}\times 2xy(11x^2y)\\Area=\frac{1}{2}\times 22x^3y^2\\Area=11x^3y^2[/tex]

So, Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]

Image 2:

We need to find area and perimeter of triangle.

First we will find area of triangle.

The formula used is: [tex]Area=\frac{1}{2}\times b \times h[/tex]

where b is base and h is height

Looking at the figure,

b = 3ab

h = 4a²b

Finding area:

[tex]Area=\frac{1}{2}\times b \times h\\Area=\frac{1}{2}\times 3ab \times 4a^2b\\Area=\frac{1}{2}\times 12a^3b^2\\Area=6a^3b^2[/tex]

So, Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]

Now, finding Perimeter of triangle

The formula used is: [tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle[/tex]

Looking at figure:

Length of side 1 = 3ab

Length of side 2 = 4a²b

Length of side 3 = 10a²b

Finding Perimeter

[tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle\\Perimeter = 3ab+10a^2b+4a^2b\\Perimeter=3ab+14a^2b[/tex]

So, Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]

Answer:

The coordinates of the point that makes the division in the given ratio is (0,3)

Step-by-step explanation:

Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2

We simply use the internal division formula

That would be;

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

m = 1 and n = 2

(x1,y1) = (4,9)

(x2,y2) = (-8,-9)

Substituting these values into the formula, we have;

2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)

= (8-8)/3 , (18-9)/3

= (0,3)

Answer:

From noon to 3 pm, there are three hours so the average speed Isaiah will need to arrive in another city in 3 hours is 186/3 = 62 km/h. Since this is less than the speed limit, Isaiah can go an average speed between 62 km/h to 65 km/h to arrive at the second city on time.

Step-by-step explanation:

Answer:

Pretttyyy sureeee

Y=-1/4x+5

Y=3x-8

Step-by-step explanation:

Complete question :

Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.

Set up an equation such that Tn represents the total amount Simon still owes after n months.

Calculate the amount Simon still owes at the end of one year after his purchase.

Answer:

Tn = 2900 - 180(n - 1)

Tn = $920

Step-by-step explanation:

Cost of furniture = $2900

Assume no interest

Amount paid in first month = 0

Constant amount to be paid after first month = $180

T amount owed after n, months :

Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)

Hence,

Tn = 2900 - 180(n - 1)

Amount owed at the end of one year after purchase :

Tn = 2900 - 180(12 - 1)

Tn = 2900 - 180(11)

Tn = 2900 - 1980

Tn = $920

The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is :

Tn = 2900 - 180(n - 1)

Tn = $920

"To understand the calculation, check below."

What all information we have ?

Cost of furniture = $2900

Assume no interest

Amount paid in first month = 0

Constant amount to be paid after first month = $180

T amount owed after n, months :

Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)

Tn = 2900 - 180(n - 1)

Tn = 2900 - 180(12 - 1)

Tn = 2900 - 180(11)

Tn = 2900 - 1980

Tn = $920

The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is Tn = $920.

Learn more about "Interest":

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Answer: f(x) = 3x + 10

Step-by-step explanation: Function notation uses the terms "f(x)." It's the same thing as y.

This is is the correct function notation:

g(x)=3x+10

Hope that helps!!!

Answer:

20 20202020020200220020200

Step-by-step explanation:

Answer:

Make sure you are using a perfect circle.

Measure the circumference of a circle as accurately as you can.

Measure the diameter of the circle.

Use the formula.

For more accurate results, repeat this process with several different circles, and then average the results.

Step-by-step explanation:

Answer:

3.14

Step-by-step explanation:

You calculate anything times 3.14

Answer:

So, hour 0 and charge is 0. hour 1 is 25, hour 2 is 50, hour 3 is 75, hour 4 is 100 and hour 5 is 125

Step-by-step explanation:

For every hour, add 25 in each box.

Answer:

14. x = 6, y = 8

15. x = 5, y = 7

16. x = 7, y = 10

Step-by-step explanation:

For a parallelogram, the length across the point of intersection of its diagonals are equal.

So that;

14. PT = TR

    QT = TS

So that,

2x = y + 4

2x - y = 4 ...........1

x + 2 = y

x - y = -2 ............. 2

subtract equation 2 from 1,

x = 6

substitute the value of x in equation 1,

2 x 6 - y = 4

y = 12 - 4

  = 8

x = 6, y = 8

15. PT = TR

    QT = TS

x + 2 = y

x - y = -2 .......... 1

2x = y + 3

2x - y = 3 ......... 2

Subtract equation 1 from 2

x = 5

substitute the value of x in equation 1

5 - y = -2

5 + 2 = y

y = 7

x = 5, y = 7

16. PT = TR

    QT = TS

y = x + 3

x - y = -3 ......... 1

2y = 3x -1

3x - 2y = 1 ......... 2

Multiply equation 1 by 2 to have;

2x - 2y = -6 ....... 3

subtract equation 3 from 2

x = 7

substitute the value of x in equation 1

7 - y = -3

-y = -7 -3

-y = -10

multiply through by minus

y = 10

x = 7, y = 10

Answer:

A. $459

Step-by-step explanation:

Answer:

3, 1, 2, 4, 5, 6

Step-by-step explanation:

i gave it to you in order from top to bottom

Answer: 20 tickets

Step-by-step explanation:

From the question, we are informed that Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period while Kelly sold 15 less tickets than Shelby. This means that the number of tickets sold by Kelly is:

= 75 - 15

= 60 tickets

The number of tickets sold by Kelly each year on average will be:

= Number of tickets sold / Number of years.

= 60/3.

= 20 tickets

over the last 3 years

Answer: 73%

Step-by-step explanation:

The plant is capable of producing 10 tons of product in one day.

Currently however, it is only able to produce 7.3 tons per day.

Utilization is therefore:

= Actual production/ Potential production * 100

= 7.3/10 * 100

= 73%

Answer:

b and e I think. would be helpful to have more info

Step-by-step explanation:

Answer:

140 miles

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

because its minus

i think

Step-by-step explanation:

find 3x + 12y = 1 in terms of y

so y = -3/12 z + 1/3

y = -1/4 x + 1/3

gradient of the line(m) = -1/4

gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4

(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)

for this line x1=-2 and y1=6 and m=4

so using the equation

(y-y1) = m(x-x1)

y-6 = 4(x-(-2)

y-6 = 4(x+2)

y-6 = 4x + 8

y = 4x + 14

y = 4x + 14 is the equation of the line that contains the coordinates (-2, 6) and is perpendicular to the line 3x + 12y = 1.

When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is denoted by the symbol b in the formula.

Given an equation of line  3x + 12y = 1

so y = -3/12 z + 1/3

y = -1/4 x + 1/3

gradient of the line(m) = -1/4

gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4

(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)

for this line x₁=-2 and y₁=6 and m=4

so using the equation

(y-y₁) = m(x-x₁)

y-6 = 4(x-(-2)

y-6 = 4(x+2)

y-6 = 4x + 8

y = 4x + 14

Therefore, the equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the point (-2, 6) is y = 4x + 14

Learn more about slope intercept form here:

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Answer:

>

Step-by-step explanation:

33/8=4.125

8>4.125

Part A = 46

64+70=134, 180-134=46

Part B

PRD and BPR are same side interior meaning they are supplementary so

BPR=70 and APB is a straight line meaning it = 180 which gives you

64+70+x=180

The measure of angle x is 50 degrees.

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two two angles are two pairs of supplementary angles.

We can see that Angle BPR and angle PRD are supplementary angles, thus their sum is equal to 180

Angle BPR + 115 = 180

Now subtract 115 from both sides;

BPR = 65

Also, the angles APQ, x, and BPR form a straight line and their sum is equal to 180

65 + x + 65 = 180

Now add like terms;

130 + x = 180

x = 50

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Answer:

Step-by-step explanation:

First we start off by rounding that number to the nearest ten, not tenTH. This rounding would lead to 180$. Now comes the percent part. Here i use the percent equation, which is ____ is ____% of _____. our percent is 10%, and our whole goes at the end, 180$. The part( or the tax), becomes x, and now we translate. Is means = and of means times. so x=.10(180), and x will equal 18

so the tip will be around 18 dollars

hope it helped

Answer:

[tex]\mathrm{B.\:}408\:\mathrm{ft^2}[/tex]

Step-by-step explanation:

The total surface area of this pyramid consists of four triangles and a square. We can add the area of each to find the total surface area:

[tex]4\cdot \frac{1}{2}\cdot11\cdot12+12^2=\fbox{$408\:\mathrm{ft^2}$}[/tex].

Answer:

Answer would most likely be option D. StartFraction S T Over Y X EndFraction

Explanation:

Take care..

Answer:

$53,700

Step-by-step explanation:

Commission earned = percentage commission x total number of houses sold

[tex]\frac{6}{100}[/tex] x $895,000 = $53,700

Answer: 12 almond pieces and 16 cranberry pieces

Step-by-step explanation:

Answer:

340,000

Step-by-step explanation:

340e3

Answer:

m=5

Step-by-step explanation:

1. Convert the logarithm into exponential form using the fact that [tex]log_{a}[/tex](x)=b is equal to x=[tex]a^{b}[/tex] so ... 4m-10=[tex]10^{1}[/tex]

2. Any expression raised to the power of 1 equals itself so ... 4m-10=10

3. Move the constant to the right-hand side and change its sign so ... 4m=10+10

4. Add the numbers so ... 4m=20

5. Divide both sides of the equation by 4 so ... m=5, m>[tex]\frac{5}{2}[/tex]

6. Check if the solution is in the defined range so ... m=5

meh not good at this

Answer:

WHAT IS HE SAYING?!

SOMEONE TELL ME WHAT HE'S SAYING, I DON'T SPEAK TACO BELL.

Explanation:

978/33

Answer:

A

Step-by-step explanation:

The other values are lesser than 5.63

Answer:

5.658-A

Step-by-step explanation: