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Anna [14]
4 years ago
10

The Smith Family is designing new plans for an in ground pool. Mr. Smith draws a rectangular shape with a length that is 5 feet

longer than the height.
A.) Write a polynomial expression in simplified form, that represents the area of the pool. Show and explain how you found the area of the pool.
Mathematics
1 answer:
kumpel [21]4 years ago
5 0

To solve this problem you must apply the proccedure shown below:

1- The formula for calculate the area of this rectangle is:

A=LH

Where L is the length and H is the heigth.

2. Let's call identify the heigth with the variable x.

3. If the length is 5ft longer than the heigth, you have:

L=x+5

4. Therefore, you can write the following polynomial expression:

A(x)=x(x+5)\\ A(x)=x^{2} +5x

5. If you know the value of the heigth, you can susbstitute it into the polynomial expression shown above and you will obtain the area.

Therefore, the answer is: A(x)=x^{2} +5x

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Math Questions :3 thank uu <3
coldgirl [10]
14.       1.5, 10    <- Answer
15.       5,1          <- Answer

Proof 14 

Solve the following system:
{2 x - y = -7 | (equation 1)
4 x - y = -4 | (equation 2)
Swap equation 1 with equation 2:
{4 x - y = -4 | (equation 1)
2 x - y = -7 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x - y = -4 | (equation 1)
0 x - y/2 = -5 | (equation 2)
Multiply equation 2 by -2:
{4 x - y = -4 | (equation 1)
0 x+y = 10 | (equation 2)
Add equation 2 to equation 1:
{4 x+0 y = 6 | (equation 1)
0 x+y = 10 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 3/2 | (equation 1)
0 x+y = 10 | (equation 2)
Collect results:
Answer: {x = 1.5               
                y = 10

Proof 15. 

Solve the following system:
{5 x + 7 y = 32 | (equation 1)
8 x + 6 y = 46 | (equation 2)
Swap equation 1 with equation 2:
{8 x + 6 y = 46 | (equation 1)
5 x + 7 y = 32 | (equation 2)
Subtract 5/8 × (equation 1) from equation 2:{8 x + 6 y = 46 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Divide equation 1 by 2:
{4 x + 3 y = 23 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Multiply equation 2 by 4/13:
{4 x + 3 y = 23 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = 20 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 5 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer:  {x = 5                           y = 1
8 0
3 years ago
Deandre will spend at most 32 on gifts. So far, he has spent 17 . What are the possible additional amounts he will spend?
amid [387]

Answer:

By itself: 32 <u><</u> 17+c

Solved: 15 <u><</u> c

If wanted it to be solved:

32 <u><</u> 17 + c

-17    -17

15 <u><</u> c

5 0
3 years ago
Simplify as far as possible.<br> 7<br> √<br> 5<br> −<br> 3<br> √<br> 5
ElenaW [278]

Answer:

4 sqrt(5)

Step-by-step explanation:

7 sqrt(5) - 3 sqrt(5)

These are like terms so we can subtract

4 sqrt(5)

3 0
2 years ago
Rosa recorded the height (in centimeters) of a pea plant over a 10-day period for a science experiment. Please help me with this
katrin [286]

Answer:

option a)

y = m(0.5) + 1.8

Step-by-step explanation:

Equation

<h3>y = mx + c</h3>

represent the equation of straight line

here m = gradient of straight line

         c = y-intercept

First find the gradient of the graph

<h3>m = y2 - y1 / x2 - x1</h3>

    = 4 - 3 / 4 - 2

    = 1 / 2

Put the values in the equation of straight line

y =mx + c

4 = 1/2(4) + c

c = 2

y = 1/2x + 2

which is approximately equal to y = 0.5x + 1.8

7 0
3 years ago
Which problem can be solved using this equation? 400+100c=550+70c
Alex_Xolod [135]
Ur answer is gonna be B
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