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ruslelena [56]
2 years ago
6

Philip and Laura want to build a pool in their backyard. The length and width of the pool can be represented by the equation

Mathematics
1 answer:
lakkis [162]2 years ago
3 0

The area of Philip and Laura's pool is 3x^2 - 13x - 10 square feet

<h3>Area of a rectangle</h3>

Givene the dimensiion of Philip and Laura's pool as:

Length = (x - 5)

Width  = (3x + 2)

Given the area expressed as:

f(x) = (x - 5)(3x + 2)feet

Taking the product will give:

f(x) = 3x^2 + 2x -15x - 10

f(x) = 3x^2 - 13x - 10

Hence the area of Philip and Laura's pool is 3x^2 - 13x - 10 square feet

Learn more on area of rectangle here: brainly.com/question/25292087

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Ira Lisetskai [31]
It is 54 degrees (fifty four)
7 0
4 years ago
Does 5, square root of 15, 5 make a right triangle?
nikklg [1K]

Answer:

No

Step-by-step explanation:

This is because square root of 15 is between 3 and 4, which are not greater than 5. To make a right triangle you could used two 5 for side a and b BUT the longer side of the triangle has to be Greater than a and b

Hope this helped

6 0
3 years ago
Factorise <br> a) 4p²-81<br> b) x²-13x+36
taurus [48]

Answer:

A = (2p + 9) (2p - 9)

B = (x - 9) (x - 4)

Step-by-step explanation:

For A : Rewrite 4p^2 as (2p)^2.

(2p)^2−81

Rewrite 81 as 9^2.

(2p)^2−9^2

Since both terms are perfect squares, factor using the difference of squares formula, a^2 − b^2 = ( a + b ) ( a − b ) where a = 2p and b = 9 .

(2p + 9) (2p − 9)

For B : Consider the form x^2 + bx + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 36 and whose sum is − 13 .

-9, -4

(x - 9) (x - 4)

I hope this helps.

7 0
3 years ago
If a = -2, b = 6, and c = -5, find the value of a(3a² + 2ac)
sp2606 [1]
(-2)(3*4+2(-2)(-5)) = -2(12+20) = -2(32) = -64
7 0
4 years ago
Given one factor of the polynomial, factor the polynomial completely.
astraxan [27]

Answer:

The factors are (x  - 1)(x - 5)(x + 2).

Step-by-step explanation:

Long division:

x - 5 )x^3 - 4x^2 - 7x + 10( x^2 + x - 2 <--------- Quotient.

        x^3 - 5x^2

                   x^2 - 7x

                    x^2 - 5x

                           - 2x + 10

                            -2x + 10

                              ...........

x^ 2 + x - 2 = (x + 2)(x - 1).

7 0
3 years ago
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