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Marizza181 [45]
3 years ago
9

write an equation in slope intercept form of a line passing through the point (2,-3) that is perpendicular to a line whose slope

is 5
Mathematics
1 answer:
vladimir2022 [97]3 years ago
6 0
1) find slope. when its perpendicular, It will be a negative reciprocal to the given slope so m1= -1/m1 
m=-1

2) y=mx+b
    y =-1x+b 
    (-3)=-1(2)+b
     -3=-2+b
       b=-1

3)  y=-1x-1

hope I helped!
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825 minus what equals 593?
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Answer:

825-232=593

Step-by-step explanation:

let \: the \: number \: be \: x \\ 82 - x = 593 \\  - x = 593 - 825 \\  - x =  - 232 \\ x = 232

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Write each number as a product of prime numbers
worty [1.4K]

Answer:

a. 2 x 2 x 2 x 2  b. 2 x 2 x 2 x 2 x 2

Step-by-step explanation:

2 is a prime number so 16 as the product of prime number is  2 x 2 x 2 x 2 and same for 32

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3 years ago
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

<u><em>Find the area of the rectangular playground</em></u>

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

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The 7th grade class is putting on a variety show to raise money. If they charge $20 for each ticket how many tickets do they nee
horsena [70]

Answer:

50

Step-by-step explanation:

They need to sell 50 of them in order to raise $1000. Its simple math all you have to do is divide 1000 by 20 and poof you have the answer.

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1. Roots, y-intercepts, and zeroes all have the same meaning?<br> A. True<br> B. False
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Answer:

A

Step-by-step explanation:

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