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Mariana [72]
3 years ago
6

Factor the polynomial: wz -18 +6z -3w

Mathematics
2 answers:
alexira [117]3 years ago
8 0

The answer is (z - 3) (w + 6)

lidiya [134]3 years ago
6 0

For this case we must factor the following polynomial:

wz-18 + 6z-3w

We have two variables, so, the factorization will be of the form:

(w \pm\ ) (z \pm \ )

We must find two numbers that when multiplied result in the independent term, that is, -18.

We have to:

+ 6 * -3 = -18

+6 and -3 are used because they are the coefficients that accompany the polynomial variables. So, we have:

(w + 6) (z-3)

Answer:

(w + 6) (z-3)

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Cherry Avenue Park is in the shape of a rectangle. What is the area, in square
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Answer: a rectangles area is length x width. You need to find the numbers that represent the length and the width and multiply them

Step-by-step explanation:

7 0
3 years ago
Solve the rational equation 1/(x-2)-1/(x+3) = 1/5
sasho [114]

Answer:

x = 5.09, -6.09.

Step-by-step explanation:

1/(x-2) - 1/(x+3) = 1/5

Multiply through by the LCM 5(x-2)(x+3):

5(x + 3) - 5(x - 2) = (x - 2)(x + 3)

5x + 15 - 5x + 10 = x^2 + x - 6

x^2 + x - 31 = 0

x = [ -1 +/- sqrt(1 - 1*1*31)] / 2

x = 5.09, -6.09.

5 0
4 years ago
a race car slows down to make a turn. If it has an initial velocity of 180 km/h [S] and accelerates at a rate of 8.2 m/s squared
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Muiltple Answers
6 0
4 years ago
Find the distance between the points. ​ (p​, q​) and​ (0, 0)
ANTONII [103]

Answer:

\sqrt{p^2+q^2}

Step-by-step explanation:

The distance between two points (x_1,y_1) and (x_2,y_2) can be calculated as

\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}.

Then the distance between points (p,q) and (0,0) is

\sqrt{(p-0)^2+(q-0)^2}=\sqrt{p^2+q^2}.

7 0
3 years ago
The standard deviation of a normal random variable x is $20. given that p(x ≤ $10) = 0.1841. from this we can determine that the
attashe74 [19]
Let \mu be the mean of X. Then

\mathbb P(X\le10)=0.1841\iff\mathbb P\left(\underbrace{\dfrac{X-\mu}{20}}_Z\le\dfrac{10-\mu}{20}\right)=0.1841

For a random variable Z following the standard normal distribution, we have

\mathbb P(Z\le z)=0.1841\implies z\approx-0.8999

Transform the random variable to get this critical value in terms of \mu:

\dfrac{10-\mu}{20}=-0.8999\implies\mu\approx27.997
3 0
3 years ago
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