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2 years ago

Write an equation in point-slope form for the line that has a slope of 9/8 and contains the point (9,−5).

Mathematics

1 answer:

Sav [38]2 years ago

3 0

I’ve attached a photo how to complete the problem of writing out the equation

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9e + 4 = -5e + 14 + 13e =

Aloiza [94]

Answer:

9e+4=8e+14

1e+4=14

-4

1e=10

e=10

Step-by-step explanation:

6 0

2 years ago

Whats the mean of 5 and 15

Assoli18 [71]

The mean of 5 and 15 is 10. (5+15= 20 20/2=10)

8 0

3 years ago

Read 2 more answers

A school wishes to enclose its rectangular playground using 480 meters of fencing.

Harlamova29_29 [7]

Answer:

Part a) $A(x)=(-x^2+240x)\ m^2$

Part b) The side length x that give the maximum area is 120 meters

Part c) The maximum area is 14,400 square meters

Step-by-step explanation:

The picture of the question in the attached figure

Part a) Find a function that gives the area A(x) of the playground (in square meters) in terms of x

we know that

The perimeter of the rectangular playground is given by

$P=2(L+W)$

we have

$P=480\ m\\L=x\ m$

substitute

$480=2(x+W)$

solve for W

$240=x+W\\W=(240-x)\ m$

Find the area of the rectangular playground

The area is given by

$A=LW$

we have

$L=x\ m\\W=(240-x)\ m$

substitute

$A=x(240-x)\\A=-x^2+240x$

Convert to function notation

$A(x)=(-x^2+240x)\ m^2$

Part b) What side length x gives the maximum area that the playground can have?

we have

$A(x)=-x^2+240x$

This function represent a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the length that give the maximum area that the playground can have

Convert the quadratic equation into vertex form

$A(x)=-x^2+240x$

Factor -1

$A(x)=-(x^2-240x)$

Complete the square

$A(x)=-(x^2-240x+120^2)+120^2$

$A(x)=-(x^2-240x+14,400)+14,400$

$A(x)=-(x-120)^2+14,400$

The vertex is the point (120,14,400)

therefore

The side length x that give the maximum area is 120 meters

Part c) What is the maximum area that the playground can have?

we know that

The y-coordinate of the vertex represent the maximum area

The vertex is the point (120,14,400) -----> see part b)

therefore

The maximum area is 14,400 square meters

Verify

$x=120\ m$

$W=(240-120)=120\ m$

The playground is a square

$A=120^2=14,400\ m^2$

8 0

3 years ago

The school buses at a middle school each hold 38 students. The school has, b, buses.

mel-nik [20]

Answer:

38bs

Step-by-step explanation:

multiply the number of students that each bus can hold by the no of buses 38s×b=38bs

8 0

3 years ago

Pls help me on this.......

Ganezh [65]

Hey there!

Your answer is $-4x+7$

Here are the steps to solve:

Given:

$-5x-(x-7)$

Distribute negative sign:

$-5x+x+7$

Add like terms:

$-4x+7$

Have a great day! Hope it helped!

7 0

2 years ago