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Rzqust [24]
3 years ago
14

I'm trying to pass my performance task and finish high school and I have no idea what it really is asking me to do, rather how t

o do it. A city park commission received a donation of playground equipment from a parents' organization. The area of the playground needs to be 256 square yards for the children to use it safely. The playground will be rectangular. The city will pay to have soft pavement made of recycled tires installed in the playground. In the first plan, one side 8 yards longer than the other side. Which equations model the possible dimensions of the playground? x(x - 8) = 256. (x2) - 8 = 256 x(x + 8) = 256. (x + 4)(x - 4) = 256. x2- 8x - 256 = 0.
Mathematics
1 answer:
ElenaW [278]3 years ago
3 0

Answer:

x

8

−

256

Rewrite  

x

8

as  

(

x

4

)

2

.

(

x

4

)

2

−

256

Rewrite  

256

as  

16

2

.

(

x

4

)

2

−

16

2

Since both terms are perfect squares, factor using the difference of squares formula,  

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

where  

a

=

x

4

and  

b

=

16

.

(

x

4

+

16

)

(

x

4

−

16

)

Simplify.

Tap for more steps...

(

x

4

+

16

)

(

x

2

+

4

)

(

x

+

2

)

(

x

−

2

)

Step-by-step explanation:

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I hope this helps you

3 0
3 years ago
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the area of a rectangular living room is 300 square feet. the length of the room is 10 feet less than twice the width
JulsSmile [24]

Answer:

The length is 20, and the width is 15.

Step-by-step explanation:

You have to write an expression to represent this situation. w can be the width, and the length can be 2w-10. To fnd the area, you multiply these together. w(2w-10) is 2w^2 -10w. From there, 15 is the only value of w that satisfies the equation, so w=15. Substitute 15 into your expression for lngth, and 2(15)-10 is 30-10 is 20, so the length is 20.

6 0
4 years ago
Solve 2x2 + 20x = −38.
Makovka662 [10]

Answer:

Correct Answer is C(−5 ±square root 6)

Step-by-step explanation:

2x^2+20x+38=0

2(x^2+10x+19)=0

x^2+10x+19=0

This is a quadratic equation here we have used following formula to find the roots of this equation

x=-b−±square root (b^2-4*a*c))/2*a......(1)

Here,

a=1

b=10

c=19

put values of a, b and c in equation (1)

x=(-10 ±square root(10^2-4*1*19))/2*1

x=(-10 ±square root(100-76))/2

x=(-10 ±square root(24))/2

x=(-10 ±square root(2*2*6))/2

x=(-10 ±2square root(6))/2

x=2(-5 ±square root(6))/2

x=-5 ±square root(6)


Hope this answer will help you

6 0
3 years ago
Pls help I need a good grade
Airida [17]

Answer:

A) 6.25x+7.50=26.25

Step-by-step explanation:

To find how much she payed for every round she played (woah that rhymed) you multiply 6.25 by the amount of rounds she played, which is x.

That's where we get 6.25x

7.50 is the base cost, so she will pay that much regardless of how much she played.

26.25 is the total amount of money spent. The admition cost and how much she spent on playing ads up to her total cost

8 0
3 years ago
Evaluate f(x) = -4x + x2 + 16 for f(-4).​
kipiarov [429]

Answer:

f(-4)=48

Step-by-step explanation:

<u>Value of functions</u>

To evaluate a function for a given value of x, we replace the x for the value and perform the resulting operations.

The given function is (corrected):

f(x)=-4x+x^2+16

We need to find f(-4), so we use x=-4:

f(-4)=-4*(-4)+(-4)^2+16

f(-4)=16+16+16

\boxed{f(-4)=48}

4 0
3 years ago
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