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alex41 [277]
3 years ago
7

Which equation represents the slope-intercept form of the line below?

Mathematics
1 answer:
steposvetlana [31]3 years ago
3 0

Answer:

y=\frac{1}{4} x-5

Step-by-step explanation:

Slope intercept from is represented as :

y = mx + b

So, plugging in the numbers it would look like this :

y=\frac{1}{4} x-5

Hope this helps. Please mark brainliest!

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2 years ago
Factorize (X + 2 y)square - (2 x minus y) square​
gulaghasi [49]

Answer:

- (x - 3y)(3x + y)

Step-by-step explanation:

Given

(x + 2y)² - (2x - y)² ← expand both parenthesis using FOIL

= x² + 4xy + 4y² - (4x² - 4xy + y²) ← distribute

= x² + 4xy + 4y² - 4x² + 4xy - y² ← collect like terms

= - 3x² + 8xy + 3y² ← factor out - 1 from each term

= - 1(3x² - 8xy - 3y²) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the coefficient of the y² term which sum to give the coefficient of the xy- term.

product = 3 × - 3 = - 9 and sum = - 8

The factors are - 9 and + 1

Use these factors to split the xy- term

3x² - 9xy + xy - 3y² ( factor the first/second and third/fourth terms )

= 3x(x - 3y) + y(x - 3y) ← factor out (x - 3y) from each term

= (x - 3y)(3x + y)

Thus

(x + 2y)² - (2x - y)² = - (x - 3y)(3x + y)

3 0
3 years ago
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
inn [45]
Good news: they are all like terms
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2 years ago
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