All categories

3 years ago

Find the slope of the line graphed below

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

6 0

Answer:

To find the slope of a line, we need to know the slope formula. The slope formula is:

m = , with m being the slope and (x₁, y₁) being the coordinates of one point and (x, y) being the coordinates of the other. Now we can substitute the values of the points in our problem ( (-1,-1) and (1, -4) ) into the slope formula. Substituting, we get:

=-1.5

That means the slope of our line is -1.5

Step-by-step explanation:

You might be interested in

Jorge asked each of the 24 students in his class if they play a musical instrument. He also asked each student if they play a sp

Pepsi [2]

Answer:

play a musical don't play a musical Total

instrument instrument

play an sport 6 14-6 = 8 14

don't play an sport 10-3 = 7 3 24 -14 = 10

Total 6+7 = 13 8+3 = 11 24

Step-by-step explanation:

Data is In italic.

5 0

3 years ago

Question is 15 points

mihalych1998 [28]

This is a doozy so pay attention. First thing you have to recognize is that is a trig identity, the sum identity for cosine to be exact. That formula is

$cos(\alpha +\beta )=cos\alpha cos\beta -sin\alpha sin\beta$ .

So that means you need to find the cosine of alpha and the sin of beta. We are given the sin of alpha being 4/5 in the first quadrant. If you set up the sin ratio which is side opposite over hypotenuse of a right triangle, you put the 4 on the side opposite the reference angle, alpha, and the hypotenuse of 5 on the terminal ray and then you have to find the missing side of the right triangle you created. Using Pythagorean's theorem, you find that the missing side, which is the adjacent side to alpha, is 3. Now you can find the cosine of alpha as well, since cosine is the side adjacent, 3, over the hypotenuse, 5. So far wwe have

$sin\alpha =\frac{4}{5}$ and

$cos\alpha =\frac{3}{5}$ for that first angle. Now moving on to the second angle. The cosine of beta is side adjacent, 5, over the hypotenuse, 13, and we are missing the side opposite the reference angle beta. Using Pythagorean's theorem again to find the side opposite, we have that that side measures 12. Now we can find the sine of beta using that opposite side, 12, over the hypotenuse, 13. What we have now is

$cos\beta =\frac{5}{13}$ and

$sin\beta =\frac{12}{13}$ . According to the identity, we have to multiply those ratios now:

$(\frac{3}{5}*\frac{5}{13})-(\frac{4}{5}*\frac{12}{13})$ .

When you do that you get

$\frac{3}{13}-\frac{48}{65}$ .

Of course in order to subtract those 2 fractions you need a common denominator which is 65 so

$\frac{15}{65}-\frac{48}{65}$ which gives you a final answer of $-\frac{33}{65}$ which is the first choice given above. There you go!

4 0

3 years ago

Jay had to paint part of the outside of his house he spent 7 hours painting one side and 12 hours painting another how long did

jolli1 [7]

Another 12 hours to get it going

7 0

3 years ago

The nicotine content in a single cigarette of a particular brand has a distribution with mean 0.4 mg and standard deviation 0.1

a_sh-v [17]

Answer:

Step-by-step explanation:

For this case we can define the random variable of interest as: "The nicotine content in a single cigarette " and for this case we know the following parameters:

$\mu = 0.4, \sigma = 0.1$