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Softa [21]
1 year ago
14

Factor completely.

Mathematics
2 answers:
Tomtit [17]1 year ago
5 0

Answer:

B

Step-by-step explanation:

y² - 12y + 32

consider the product of  factors of the constant term (+ 32) which sum to give the coefficient of the y- term (- 12)

the factors are - 4 and - 8 , since

- 4 × - 8 = + 32 and - 4 - 8 = - 12 , then

y² - 12y + 32 = (y - 4)(y - 8)

inna [77]1 year ago
5 0

Answer:

B. (y-4)(y-8)

Step-by-step explanation:

Given equation: y² - 12y + 32. Essentially, we are going to find two numbers that multiply to 32 and add up to -12.

1) Pull out the factors of 32 and find the pair that multiply to 32 and add up -12.

They are: -8 and -4.

2) Rewrite the b of the original quadratic equation as a sum, then factorise by grouping.

y² - 8y - 4y +32

y(y - 8) - 4(y - 8)

(y - 4)(y -8)

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Find the area of the figure. Round to the nearest tenth
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Answer:

Find the area of each triangle and then add it up. As you are aware, to find the area of a triangle the equation is B times Height divided by 2.  And to make it easier do the top left triangle and the top right triangle, add them together and then divide that by 2.

Step-by-step explanation:

3 time 5 equals 15 divided by 2 equals 7.5

5 times 8 equals 40 divided by 2 equals 20

7.5 plus 20 equals 27.5

27.5 times 2 equals 55

therefor your answer should be 55m

3 0
2 years ago
Complete the table below. Number of reservations P(more passengers than seats available)
Step2247 [10]

Answer:

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8 0
3 years ago
A rectangular prism has dimensions of 2 ft, 4 ft, and 6 ft. If the dimensions are doubled, what would happen to the volume?
kondor19780726 [428]

Answer:

Volume is increased in a factor of 8. The volume is increased from 48\,ft^{3} to 384\,ft^{3}.

Step-by-step explanation:

The formula for the volume of the rectangular prism is:

V = w\cdot h \cdot l

Where:

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h - Height

l - Length

If dimensions are doubled, then volume is increased in a factor of 8:

V_{f} = (2\cdot w)\cdot (2\cdot h)\cdot (2\cdot l)

V_{f} = 8\cdot w \cdot h \cdot l

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3 0
3 years ago
Fred jumped into a lake from a rock 7 feet above the surface of the water. He sank five feet into the water and continued to swi
Alekssandra [29.7K]

Answer:

Sophie

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3 0
2 years ago
Round the number to the place value given. 1,370,945 rounded to the ten-thousand is.
Monica [59]

Explanation:

The question requires that we round the given number to Ten-thousand

To do so, we will have to write the place values of the numbers first

Next, we find the digits before the Ten-thousand digits and then approximate the value

One of the principles to use is that

numbers from 0 to 4 are rounded to 0

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Thus, we will have

1,370,000

Hence, the answer is 1,370,000

7 0
1 year ago
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