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4 years ago

Given the equation of two lines how can I distinguish if these lines are parallel, perpendicular, or neither?

1 answer:

6 0

If they are perpendicular, they form a right angle. For example, this is perpendicular:

I_

If likes are parallel, they run along each other, never meeting. For example, these two lines are parallel:

___
___

Hope this helps!

You might be interested in

Which of the following statements about the percentiles for the standard normal distribution are correct? A. The 90th percentile

shutvik [7]

Answer:

Correct option: (C) The 75th percentile is approximately 0.67

Step-by-step explanation:

The pth percentile is a data value such that at least p% of the data set is less than or equal to this data value and at least (100 - p)% of the data set are more than or equal to this data value.

If x is the pth percentile of a data set then,

P (X < x) = p/100

If $X\sim N(\mu, \sigma^{2})$ then $Z=\frac{X-\mu}{\sigma}$ , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, $Z \sim N (0, 1)$ .

The 90th percentile of a standard normal distribution is:

P (Z < z) = 0.90, then z = 1.28

The 10th percentile of a standard normal distribution is:

P (Z < z) = 0.10, then z = -1.28

The 75th percentile of a standard normal distribution is:

P (Z < z) = 0.75, then z = 0.67

The 15th percentile of a standard normal distribution is:

P (Z < z) = 0.15, then z = -1.04

Thus, the correct statement is (C).

7 0

3 years ago

Find the measure of Arc MP

mario62 [17]

Answer:

Arc MP = 118 degrees

Step-by-step explanation:

From what we have;

Arc MP = PN - MN

for PN, we can see that we have a right triangle; that means the arc measure is 180 degrees

So PN is 180

Now, for MN, we are going to use angle-arc relationship

From what we have;

MN = 2 * 31 = 62 degrees

So we have the measure of MP as;

180 -62 = 118 degrees

7 0

3 years ago

What is the volume of 4/5 3 1/2 3 1/8

scZoUnD [109]

If you would like to know the volume, you can calculate this using the following steps:

volume = 4/5 * 3 1/2 * 3 1/8 = 4/5 * 7/2 * 25/8 = (5*7)/(2*2) = 35/4 = 8.75

The correct result would be 35/4.

7 0

3 years ago

How long will 40,000 becomes 51,200 if the simple interest is at 12% per annum?

iren2701 [21]

2.33 years. The principal amount of 40,000 takes 2.33 years to reach 51,200 with a simple interest of 0.12. 2.33 years.

3 0

3 years ago

4 pounds of tomatoes cost $8. How many pounds of tomatoes can you get with $14?

faust18 [17]

Answer:

7 pounds

Step-by-step explanation:

8 divided by 4 is 2 so $2 per pound

14 divided by 2 is 7 so therefore it would be 7 pounds

I had the wrong answer before sry haha

4 0

3 years ago