2 years ago

Find the values of the variables x (and y if there is a y)

Mathematics

2 answers:

Marianna [84]2 years ago

5 0

Answer:

Step-by-step explanation:

xz_007 [3.2K]2 years ago

4 0

The answer is 9

brainliest? ;)

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Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 16

s344n2d4d5 [400]

Answer:

$k=3$

Step-by-step explanation:

Let

$f(x)=2x^3+18x^2-18x-162$

We factor 2 to obtain;

$f(x)=2(x^3+9x^2-9x-81)$

We factor the polynomial within the parenthesis by grouping.

$f(x)=2(x^2(x+9)-9(x+9)$

$f(x)=2(x^2-9)(x+9)$

$f(x)=2(x^2-3^2)(x+9)$

We apply difference of two squares on the second factor: $x^2-3^2=(x-3)(x+3)$

$f(x)=2(x+3)(x-3)(x+9)$

We now compare to;

$f(x)=2(x+k)(x-k)(x+9)$

It is now obvious that $k=3$

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2 years ago

Operations with Fractions

Mila [183]

Answer:

option a or c

Step-by-step explanation:

hope it helps u

6 0

2 years ago

Read 2 more answers

Two cities have nearly the same north-south line of 117 degrees Upper W. The latitude of the first city is 29 degrees Upper N c

Mariulka [41]

Answer:

1117 km

Step-by-step explanation:

Because the two cities are approximately on the same North-South line, they are on the same longitude. The difference in their latitudes is 39° - 29° = 10°. We are subtracting because they are both in the northern hemisphere. The distance between them is

$\dfrac{10}{360}\times2\pi\times6400 \text{ km} = 1117 \text{ km}$