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3 years ago

The length of one base of a trapezoid is 44, the median is 36, and the other base is 2x + 10.

Mathematics

1 answer:

Nataliya [291]3 years ago

6 0

Answer:

The answer is "9"

Step-by-step explanation:

Given value:

length of trapezoid = 44

Another length = 2x+10

median = 36

formula:

median =(first length + second length) /2

$36 = \frac{(44+ 2x+10)}{2}\\\\ 36 = \frac{54+2x}{2}\\\\36 \times 2 = 54 +2x\\\\72 =54 +2x\\\\2x= 72-54\\\\2x= 18\\\\x= 9$

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Factor the trinomial. Factor out the GCF first. 5x^2y - 30xy^2 - 35y^3

anzhelika [568]

Answer: $5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)$

Step-by-step explanation:

GCF = Greatest common factor.

For example: 6 is the GCF of 12 and 18.

The given expression: $5x^2y - 30xy^2 - 35y^3$

It can be written as

$5x^2y - (5\times6)x( y\times y) - (5\times7)(y^2\times y)$

Taking out common factor $5y$ , we get

$5y(x^2-6xy-7y^2)\\\\ =5y(x^2+xy-7xy-7y^2)\ \ [\because-6xy=xy-7xy]\\\\=5y(x(x+y)-7y(x+y))\\\\= 5y((x+y)(x-7y))\\\\=5y(x+y)(x-7y)$

Hence, $5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)$

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3 years ago

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3 years ago

The Neolithic Revolution

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Explanation:

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3 years ago

Read 2 more answers

A regression equation that predicts the price of homes in thousands of dollars is t = 24.6 + 0.055x1 - 3.6x2, where x2 is a dumm

AveGali [126]

Answer:

a) On average, homes that are on busy streets are worth $3600 less than homes that are not on busy streets.

Step-by-step explanation:

For the same home (x1 is the same), x2 = 1 if it is on a busy street and x2 = 0 if it is not on a busy street. If x2 = 1, the value of 't' decreases by 3.6 when compared to the value of 't' for x2=0. Since 't' is given in thousands of dollars, when a home is on a busy street, its value decreases by 3.6 thousand dollars.

$t(x1, 0)= 24.6 + 0.055x1\\t(x1, 1) = 24.6 + 0.055x1 - 3.6\\t(x1, 1) = t(x1, 0) - 3.6$

Therefore, the answer is a) On average, homes that are on busy streets are worth $3600 less than homes that are not on busy streets.

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3 years ago