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3 years ago

What is the equation of the line that passes through the point (-2,0) and has a slope of -2?

Mathematics

1 answer:

WARRIOR [948]3 years ago

6 0

Answer:

y=-2x-4

Step-by-step explanation:

y-y1=m(x-x1)

y-0=-2(x-(-2))

y-0=-2(x+2)

y=-2x-4+0

y=-2x-4

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What is the slope of the line and y intercept

valkas [14]

Answer is a

You need to find the y-intercept (aka b). You can do that by simply looking where the graph intercepts with the Y-axis.
b= 1 (positive 1 and not negative)

Now we need to find the slope by the following

Slope aka m: (Y2-Y1)/(X2-X1)
Note: sometimes people say it’s rise/run which is the same thing as the previous formula.

Pick two points that fall on the graph. I chose (0,1) and (3,-4). Even though there are no numbers you can assume each square is a unit and count the squares.

Slope = (-4-1)/(3-0) = - 5/3

6 0

3 years ago

Which postulate or theorem proves that these two triangles are

kirill115 [55]

Answer:

AAS Congruence Theorem

4 0

3 years ago

Suppose you connect the points on the graph in the example, what would the graph look like?<br>

aliya0001 [1]

Answer:

Your graph would look like lines going up and up and up

Step-by-step explanation:

Why you ask? Well, because the graph shown here is going by the factors of 6. And the factors of 6 are pretty high, which means it would be going up like a twisted line going right ot left depending which way you look at it. It would be going up and up because like 18 times 6 is 108 and 20 times 6 is 120.

3 0

3 years ago

Which of the following expressions is the inverse of the function y equals quantity x minus 2 divided by 3?

Natalija [7]

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

Therefore, the inverse of y = (x - 2)/3 is y = 3x + 2

6 0

3 years ago

The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6 minutes and the variance of

White raven [17]

Answer:

0.3075 = 30.75% probability that a person will wait for more than 7 minutes.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The standard deviation is the square root of the variance.

In this problem, we have that:

$\mu = 6, \sigma = \sqrt{4} = 2$

Find the probability that a person will wait for more than 7 minutes.

This is 1 subtracted by the pvalue of Z when X = 7. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{7 - 6}{2}$

$Z = 0.5$

$Z = 0.5$ has a pvalue of 0.6915

1 - 0.6915 = 0.3075

0.3075 = 30.75% probability that a person will wait for more than 7 minutes.

7 0

3 years ago