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Svetlanka [38]
2 years ago
6

Difference of squares. Pls help algebra factoring polynomials 10 points

Mathematics
1 answer:
jarptica [38.1K]2 years ago
6 0

Answer:

4x(squared)-36

Step-by-step explanation:

=(2x+−6)(2x+6)

=(2x)(2x)+(2x)(6)+(−6)(2x)+(−6)(6)

=4x^2+12x−12x−36

=4x^2 −36

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Answer:

11.25

Step-by-step explanation:

the equation to find the area of a rectangle is A=w*l

A=2.5*4.5

A=11.25

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Find the area of a triangle with vertices at D(2, 0), E(–1, 0), and F(2, –7).
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The Smith family went out to eat at Applebees. The total for their meal was $58.25. If they want to leave a 20%, how much tip sh
Len [333]

Answer:

$11.65

Step-by-step explanation:

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3 years ago
Solve each proportion. <br> 8/x+9=2/x-3<br> Please show work.
emmainna [20.7K]


8/x+9-(2/x-3)=0

Step by step solution :


Step 1 :

2
Simplify —
x
Equation at the end of step 1 :

8 2
(— + 9) - (— - 3) = 0
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Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using x as the denominator :

3 3 • x
3 = — = —————
1 x
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

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2 - (3 • x) 2 - 3x
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x x
Equation at the end of step 2 :

8 (2 - 3x)
(— + 9) - ———————— = 0
x x
Step 3 :

8
Simplify —
x
Equation at the end of step 3 :

8 (2 - 3x)
(— + 9) - ———————— = 0
x x
Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Adding a whole to a fraction

Rewrite the whole as a fraction using x as the denominator :

9 9 • x
9 = — = —————
1 x
Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

8 + 9 • x 9x + 8
————————— = ——————
x x
Equation at the end of step 4 :

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Step 5 :

Adding fractions which have a common denominator :

5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

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Step 6 :

Pulling out like terms :

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Equation at the end of step 6 :

6 • (2x + 1)
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Step 7 :

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7.1 When a fraction equals zero ...
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Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

6•(2x+1)
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x
Now, on the left hand side, the x cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
6 • (2x+1) = 0

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7.2 Solve : 6 = 0

This equation has no solution.
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