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Taya2010 [7]
3 years ago
15

(x+5)²=81 need help quick

Mathematics
1 answer:
Vilka [71]3 years ago
5 0
Square root each side
x-5=positive/negative 9
x=14, and -4
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Write 54 + 63 as the product of the GCF of 54 and 63 and another sum
levacccp [35]

Answer:

9*(6+7)

Step-by-step explanation:

First, we have to find the Greatest Common Factor (GCF), to do this we have to see all the factors of 54 and 63 and find the greatest factor that they have in common.

Factors of 54

1,2,3,6,9,18,27,54

Factors of 63

1,3,7,9,21,63

The GCF is 9 because is the greatest factor that is common to both numbers.

Now we have to divide 54/9 and 63/9

54/9 = 6

63/9 = 7

So now we can write the product of the GCF and another sum:

9*(6+7)

<em>We can prove this by solving both expressions:</em>

<em>54+63 = 9*(6+7)</em>

<em>117 = 9*13</em>

<em>117 = 117 </em>

<em>The results are equal so we prove it is right.</em>

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3 years ago
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A rectangle has a width of 2cm and a perimeter of 25cm. Find the length and the area .
Gwar [14]

2w + 2l = 25

2 * 2 + 2l = 25

<em><u>Simplfiy.</u></em>

4 + 2l = 25

<em><u>Subtract 4 from both sides.</u></em>

2l = 21

<em><u>Divide both sides by 2.</u></em>

l = 10.5

Now that we have the value of l, we can find the area.

A = lw

A = 10.5 * 2

A = 21.

The length is 10.5cm.

The area of the rectangle is 21cm^2

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3 years ago
F(x)= -5x-1 and g(x)= 2x^2<br>solve (f+g)(x)
Georgia [21]
f(x)=-5x-1;\ D_f:x\in\mathbb{R}\\\\g(x)=2x^2;\ D_g:x\in\mathbb{R}\\\\D_f=D_g\ then\ (f+g)(x)=f(x)+g(x)\\\\(f+g)(x)=-5x-1+2x^2=2x^2-5x-1

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Find the value of x.<br> 31°<br> to<br> 35°
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Step-by-step explanation:

the sum of all angles in a triangle is always (ALWAYS !) 180°.

180 = 31 + 35 + x = 66 + x

x = 180 - 66 = 114°

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2 years ago
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2x +(3y+8z)=(2x+3y)+8z an example of which property?
lyudmila [28]
C. Associative Property
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