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3 years ago

10k-10-6a+4a+a+0+0+0

Mathematics

2 answers:

cluponka [151]3 years ago

5 0

Answer:

simplified 10k-1a-10

Step-by-step explanation:

Simplified

scoundrel [369]3 years ago

3 0

Answer:

there is no = sign so there isn't a answer.

Step-by-step explanation:

but the answer is 9988

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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

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

8 0

3 years ago

Janice drove 360 miles in 6 hours. If she travels a constant rate, calculate the distance she will cover in 7 hours?

Hitman42 [59]

Answer:

420 Mile's.

Step-by-step explanation:

First you figure out the unit rate by dividing 360 by 6 which is 60. So that's 60 miles per hour. Now multiply 60 by 7 to find out how many miles she will drive in 7 hours. When you multiply you get 420.

5 0

3 years ago

At a game show, there are three doors marked 1, 2, and 3. A contestant is allowed to select one of three keys labeled A, B, and

sineoko [7]

Answer:

It is A

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Ok so I need help thank you

Liula [17]

Answer:

2.56

Step-by-step explanation:

I'm pretty sure, I'm sorry if its wrong

5 0

3 years ago

How do you multiply 22.100 times 4.50

nirvana33 [79]

Answer:

Step-by-step explanation:

99.45 should be your answer

If you want me to show work let me know

6 0

3 years ago

10k-10-6a+4a+a+0+0+0​

10k-10-6a+4a+a+0+0+0