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2 years ago

What is the slope of a line perpendicular to a line that contains the points (-5, 4) and (-2, 4)?

1 answer:

3 0

Answer: B. No slope

Explanation: The slope of a perpendicular line will always be the negative reciprocal of the slope of the given line. That means that you first have to find the slope of the given line by using the two points on that line:

Point 1: (-5, 4)
Point 2: (-2, 4)
Slope=(y2-y1)/(x2-x1)
Slope=(4-4)/((-2)-(-5))
Slope=0/3

If the slope of the initial line is 0/3 and the slope of its perpendicular line is the negative reciprocal of that slope, that means the slope of the perpendicular line will be -3/0 which is undefined because you can’t divide -3 by 0.

Therefore, the slope of the perpendicular line is undefined, or in other words, there isn’t an exact slope.

Hope that helps シ

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One-half of the sum of a number and 12 is less than 27. What is the number? Write as an inequality.

kirill115 [55]

Answer:

Call the number we need to find a.

Inequality: (12 + a) ÷ 2 < 27

<=> 12 + a < 54

<=> a < 54 - 12

<=> a < 42

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2 years ago

Kevin traveled at a constant speed on the highway from Hickory Hills to Chicago in 20 minutes. The distance from Hickory Hills t

beks73 [17]

Answer: $V=51\ \frac{mi}{h}$

Step-by-step explanation:

You need to used the following formula:

$V=\frac{d}{t}$

Where "V" is the speed, "d" is the distance and "t" is the time.

In this case you know that Kevin traveled at a constant speed on the highway from Hickory Hills to Chicago in 20 minutes (which is $\frac{1}{3}\ h$ ) and the distance is 17 miles. Then, you can identify that:

$t=\frac{1}{3}\ h\\\\d=17\ mi$

Therefore, knowing these values, you can substitute them into the formula. Then, you get:

$V=\frac{17\ mi}{\frac{1}{3}\ h}\\\\V=51\ \frac{mi}{h}$

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2 years ago

Let f(x)=5x+2 and gx=x^2-4x+1<br><br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bf%7D%7Bg%7D%285%29" id="TexFormula1" title="\f

Rasek [7]

Answer:

find f(5) and g(5) then divide f(5) by g(5) i.e f(5)/g(5) Answer will be 25/6

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2 years ago

Convert 15/50 into a fraction

Lunna [17]

It already is a fraction though. I assume you mean to simplify it. You can simplify fraction by taking out the greatest common factor(that they share) in the denominator and numerator. In this case the denominator and numerator share the factor 5. So you if you divide the numerator and denominator by 5 you get 3/10 or the simplest form of the fraction.
The answer is $\frac{3}{10}$

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2 years ago

Even though the population standard deviation is unknown, an investigator uses z rather than the more appropriate t to test a hy

alexandr1967 [171]

Answer:

The true true level of significance of this test is more than 0.01.

Step-by-step explanation:

No standard deviation and we are told that the investigator still used z rather than the more appropriate t - distribution.

This method of using the z-distribution when standard deviation is unknown will definitely result in a smaller critical value and this in turn simply means that the p-value will be smaller than what it should really be.

Thus, it means the critical value is getting closer to the mean value than the way it should be.

Therefore, means that for a given significance of 0.01 and using the z-distribution under this no standard deviation situation, the true true level of significance of this test is more than 0.01.

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3 years ago