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3 years ago

Factor completely y^2-xy-56x^2

Mathematics

2 answers:

ki77a [65]3 years ago

5 0

Answer: <em> </em>I got (y-8x)(y-7x) by factoring out the factors of 56, that have a sum of -1.

8 and 7 are factors of 56 when you multiply them and to get a sum of -1, 8 should change to negative. 7 + -8 = -1

olga2289 [7]3 years ago

3 0

You can factor this out by thinking of the factors of 56 that have a sum of -1. 7 and 8 are factors of 56 and to get a sum of -1, 8 should be negative. 7 + -8 = -1

So $y^{2} - xy - 56x^{2}$ factored out is (y+7x)(y-8x)

We can check this using FOIL
F = (y)(y) = $y^{2}$
O = (y)(-8x) = -8xy
I = (7x)(y) = 7xy
L = (7x)(-8x) = $-56x^{2}$
$y^{2} - 8xy + 7xy - 56x^{2}$ Combine like terms
$y^{2} - xy - 56x^{2}$

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likoan [24]

Answer: 0.875

Step-by-step explanation:

The answer that has already been given is perfect in and by itself. I just want to give you some methods for doing these type of questions so that you won’t stagger when you see these type of questions in exams (like the SAT).

Whenever you see such questions, remember the following things. These are conversions of English words to Mathematical tools.

What

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Divide by 100

Multiply

Put an equal to (

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I’ll give you an example through a question.

What percent of 200 is 5?

Ans: Replace English words by mathematical tools according to the rules I told you.

( What) /100 ( percent)

( of) 200

( is) 5

In a refined form,

100

200

Calculate x. On calculating, x comes out to be

2.5

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Now your question is actually very simple if you follow my rules.

You want 87.5%. By the rules, % means divided by 100. So

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and now using the same strategy, Ans:

875

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Disregard the next section if you know how to convert a decimal to a fraction

Section Starts

First, I’ll write the decimal form. Whenever you divide by a number that is in form of 1 followed by

number of zeroes. (here 1 is followed by 2 zeroes), you should shift the decimal point to the left side by n places.

In this case, shift decimal point in 87.5 to the left by 2 places. So this becomes 0.875.

This is the answer in decimal point.

Now simultaneously, I’ll teach you how to convert a decimal into a fraction.

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Here, left side of decimal point is 0 and right side of decimal point is 875.

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2 years ago

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Dmitrij [34]

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2 years ago

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AleksAgata [21]

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7 0

3 years ago

Read 2 more answers

Ateacher uses 36 centimeters of tape to hang up 9 student projects. At that rate

Troyanec [42]

The teacher would need 40 centimeters of tape to hang 10 student projects.

Step-by-step explanation:

Given,

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9 projects = 36 centimeters

1 project = $\frac{36}{9}\ centimeters$

1 project = 4 centimeters

Therefore,

Tape needed to hang 10 projects = 4*10 = 40 centimeters

The teacher would need 40 centimeters of tape to hang 10 student projects.

Keywords: unit rate, multiplication

Learn more about unit rate at:

#LearnwithBrainly

3 0

3 years ago

What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 5:8? Round t

Fantom [35]

Answer:

(1.2, –4.7)

Step-by-step explanation:

Since in the question it is mentioned that on the plane of coordinate, a line is made from point A (7,-2) to point B(-8,-9)

Also, the ratio of A to B is 5:8

Based on this, the x and y coordinates at point C is

$= [\frac{5\times (-8) + 8\times 7}{5 + 8} , \frac{5\times (-9) + 8\times -2}{5 + 8}]\\\\= [\frac{16}{3}, \frac{-61}{13}]$

= (1.2, –4.7)

Hence, the x and y coordinates of point C is (1.2, –4.7)

Therefore the last option is correct

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3 years ago