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Gnesinka [82]
2 years ago
14

How to do factor each expression 63 + 81

Mathematics
1 answer:
Katyanochek1 [597]2 years ago
6 0

Answer:

9(7 + 9)

Step-by-step explanation:

To factor an expression you have to first find the highest common factor (HCF) of the numbers in the expression. You divide them by their HCF, bracket it and place the HCF outside the bracket.

63 + 81 =  \\  9(\frac{63}{9}  +  \frac{81}{9})  =  \\ 9(7 + 9)

To check if it is factored properly you can do the opposite of what you just did by clearing the bracket.

9 (7 + 9)

(9 x 7) + (9 x 9)

= 63 + 81

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First multiply each term by 24(the common denominator found by 8×3) to remove the fractions and make things easier.
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This will give you,
120 + 8(x - 2) = 3(x + 3)
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3 years ago
Which of the following points are solutions to the system of inequalities
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Answer:  see attachments

<u>Step-by-step explanation:</u>

Slope-Intercept format is: y = mx + b    

                                                 ↓      ↓

                                                 ↓      Intercept (where it crosses the y-axis)

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3 0
3 years ago
(20 pts!) if the base of the roof has length 40 feet and x=30, which of the following gives the height of the roof?
musickatia [10]

Answer:

23.094 ft approximately

(If you want your answer in a different format, let me know please.)

Step-by-step explanation:

I would have solve this using tangent since the side opposite to x is asked for and the adjacent side to side is given as having a measurement of 40 ft.

But I think they want you to use the formula:

l=\frac{b}{\cos(x)}.

l=\frac{40}{\cos(30)}

Input into calculator:

l=46.188 (approximation)

l represents the length of the roof.

So we have l=46.188 and b=40.

We must use the Pythagorean Theorem to find the height,h, for of the roof.

l is the hypotenuse.

h^2+40^2=46.188^2

h^2+1600=2133.331

Subtract 1600 on both sides:

h^2=533.331

Take square root of both sides:

h=23.094

The answer is 23.094 feet for the height that roof reaches on the building.

I want to show you another way:

\tan(x)=\frac{\text{opposite}}{\text{adjacent}}

\tan(30)=\frac{h}{40}

Multiply both sides by 40:

40\tan(30)=h

Input into calculator:

23.094=h

I didn't do it this way because your problem suggested you use their formula to find the height.

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3 years ago
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