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3 years ago

How do we find the factors of x2 – 64

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

8 0

Answer:

The factors of x²-64 is equal to (x-8)(x+8).

Step-by-step explanation:

The given expression is:

x²-64

we know that, 8² = 64

So,

(x²-8²) = (x-8)(x+8) [As (a-b)(a+b) = a²-b²]

So, the factors of x²-64 i equal to (x-8)(x+8).

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Answer:

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Step-by-step explanation:

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2 years ago

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A shipping company is creating their own shipping boxes. They have created a box with a volume of 800in^3, a helght of 8 inches

Kazeer [188]

Answer:

Length=10 Inches

Width=10 Inches

Step-by-step explanation:

Volume of the box $=800in^3$

Height=8 Inches

Base Perimeter =40 Inches

Volume of a box=lbh

SInce h=8 in, V=800.

Then:

8bl=800

bl=100

$l=\frac{100}{b}$

Base Perimeter=40 Inches

Perimeter of the Base= 2(l+b)

Therefore: 2(l+b)=40

Substituting $l=\frac{100}{b}$

$2(\frac{100}{b}+b)=40\\\frac{100+b^2}{b}=20\\$Cross Multiply\\100+b^2=20b\\b^2-20b+100=0\\$Solving the quadratic equation \\b^2-10b-10b+100=0\\b(b-10)-10(b-10)=0\\(b-10)(b-10)=0\\b-10=0 (Twice)\\b=10 \:Inch$

Recall:

$l=\frac{100}{b}=\frac{100}{10}\\l=10 Inch$

Therefore:

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8 0

3 years ago

Translate the sentence into an inequality. Nine subtracted from the product of 4 and a number is greater than 17. Use the variab

nikdorinn [45]

Answer:

4y - 9 > 17

Step-by-step explanation:

Translate the sentence into an inequality. Nine subtracted from the product of 4 and a number is greater than 17. Use the variable y for the unknown number.

Unknown variable = y

Nine subtracted from the product of 4 and a number is greater than 17

4 multiplied by unknown variable 'y' = (4 * y) = 4y

9 subtracted from (4y) = 4y - 9

Then, the result is said to be greater than 17

4y - 9 > 17

Hence, The Inequality expression equivalent to the sentence above is 4y - 9 > 17

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3 years ago

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Since it takes her 2 1/2 miles to get to the aquarium from her hotel, you need to subtract the various distances from this value in order to find how long it took Clara to walk the rest of the way to the aquarium.

2 1/2 - (1/4+1 3/4)= 2 1/2 - 2= 1/2

Clara must walk 1/2 a mile to get the rest of the way to the aquarium.

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3 years ago

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WITCHER [35]

$72.31 is the total amount AFTER ADDING TWO DEPOSITS

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3 years ago