-4(n-3) + 4(n+7)

Determined the quadrant for an angle with the following characteristics: cotθ>0 and cscθ>0.

Ilia_Sergeevich [38]

Your correct answer should be choice D

7 0

3 years ago

If the slope is 2 and the line goes through (3,-3) what is the equation?

motikmotik

Answer:

$y = 2x -9$

Step-by-step explanation:

To find the equation of a line using slope and a point, first use the slope to create the basic line using the slope and work from there.

For instance, the base equation here is

$y = 2x$

This line passes through the point (0, 0).

You can then plug in a value for x. In this case, use the value of 3, as it corresponds with your question.

$y = 2 * 3$

A point on the line of y = 2x would thus be (3, 6).

To make the y-value equal -3, you must then subtract from the original equation. There are 9 units between 6 and -3, so you must subtract nine units in the equation. You should get this at the end:

$y = 2x -9$

6 0

3 years ago

After a 2 1/2 hour rainstorm, there are 5 inches of water in a bucket outside. What is the rate per inch?

xeze [42]

Answer:

2 inches per hour

Step-by-step explanation:

2 1/2 hours is equivalent to 150 minutes.

Set up a proportion; let x equal inches of rain

$\frac{5}{150}$ = $\frac{x}{60}$

Cross multiply -> 150x=300

Divide both sides by 150 to get -> x=2

5 0

3 years ago

How do you multiply 12x12 step by step?

geniusboy [140]

Answer:

144

Step-by-step explanation:

12

X12

------

If you are writing this problem out by hand, be sure that your numbers are lined up, like above. This will help you in making sure that you solve each step of your problem properly.

First, start with the 12. Multiply 12 by the "2" in the one's place, in the second number:

12

X 2

-----

Begin by multiplying 2 X 2 first, in the "ones" column.

Do you have 2X2=4? Great! Put the 4 in the ones column, where your answer would go.

Next, multiply 2 times the 1 digit. The 1 is actually a 10, because it is in the "tens" column.

2 X10=20

Place your 2 in the "tens" column--It should look like this...

12

X 2

-----

24

Since you are finished with the "ones" place, now you will work with the tens column.

put a zero under the 4 in 24.

then continue like this

12

X12

-----

24

120 because 12 X10=120

------

144 If you add 24 +120, you should have 144.

If you have a slightly different way of doing this problem, that's OK. The point is to get the correct answer.

If you have a times table, you can check yourself.

12 X12=144

8 0

3 years ago

Read 2 more answers

Suppose the test scores of students in a class are normally distributed with a mean of 86 and a standard deviation of 4. What is

WARRIOR [948]

Answer:

-2.5

Step-by-step explanation:

Here in this question, we are interested in calculating the z-score for a student that had a particular mark at the test

To calculate the z-score, we need to use a mathematical formula

Mathematically;

z-score = (x - mean)/SD

From the question;

x = 76

mean = 86

standard deviation SD = 4

Plugging these values in the equation, we have;

z-score = (76-86)/4 = -10/4 = -2.5

4 0

3 years ago

-4(n-3) + 4(n+7) > 33