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3 years ago

Write an equation in slope-intercept form for the line that passes through the given points.

1 answer:

3 0

First find the slope using (y1-y2)/(x1-x2)

(-2-4)/(5+16) = -6/21 or -2/7

Then plug in one of the points into y-y=m(x-x)

y + 2 = (-2/7)(x - 5)

Distribute the slope.

y + 2 = -2x/7 + 10/7

Subtract 2

y = -2x/7 - 4/7

So the answer is A.

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Find out the answers to this

meriva

Answer:

$\tan \theta = - \frac{1}{5} = - 0.2$

$\cos \theta = 0.98$

$\sin \theta = - 0.196$

Step-by-step explanation:

It is given that $\cot \theta = - 5$ and $\theta$ is in the fourth quadrant.

So, only $\cos \theta$ will have positive value and $\sin \theta$ , $\tan \theta$ will have negative value.

Now, $\cot \theta = - 5$

⇒ $\tan \theta = \frac{1}{\cot \theta} = -\frac{1}{5}$ (Answer)

We know, that $\sec^{2} \theta - \tan^{2} \theta = 1$

⇒ $\sec \theta = \sqrt{1 + \tan^{2} \theta } = \sqrt{1 + (- \frac{1}{5} )^{2} } = 1.019$

{Since, $\cos \theta$ is positive then $\sec \theta$ will also be positive}

⇒ $\cos \theta = \frac{1}{\sec \theta} = \frac{1}{1.0198} = 0.98$ (Answer)

We know, that $\csc^{2} \theta - \cot^{2} \theta = 1$

⇒ $\csc \theta = - \sqrt{1 + \cot^{2} \theta } = - \sqrt{1 + (- 5 )^{2} } = - 5.099$

{Since, $\sin \theta$ is negative then $\csc \theta$ will also be negative}

⇒ $\sin \theta = \frac{1}{\csc \theta} = \frac{1}{- 5.099} = - 0.196$ (Answer)

4 0

3 years ago

For her college fund jenny's parents invested $5000 four years ago. the account has now reached $6312. what is the approximate a

Tasya [4]

Answer:

Rate = 6.56%

Step-by-step explanation:

Principal (P) = $5000

Interest (I) = $6312

Time (T) = 4 years

Rate (r) = ?

This question is involves simple interest and with the formula, we can easily plug in the values to find the rate.

S.I = P(1 + rt)

S.I = simple interest

P = principal

R = Rate

T = Time

6312 = 5000(1 + r*4)

6312 = 5000 + 5000*4r

6312 - 5000 = 20000r

1312 = 20000r

r = 1312 / 20000

r = 0.0656

Rate are calculated in percentage hence we'll multiply it by 100

R = 6.56%

4 0

3 years ago

What is the slope of the line that passes through the points (9, -7)<br> and (-10, -10)?

vredina [299]

Answer:

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5 0

3 years ago

Please help!! I’ll mark the correct answer as brainly

GenaCL600 [577]

The answer is B. There can not be any alike "x" inputs.

4 0

3 years ago

Read 2 more answers

Lucy's school is celebrating easter by having a race in which the winner will get a basket of chocolate eggs. lucy is the fiftie

Alja [10]

The question also states that Lucy has a winning probability of 1/50, which means that she has 1 chance of winning if the total runners were 50. Therefore, there are 49 runners who may be faster than her.

The fact that Lucy is the 50th slowest runner, means that starting from the slowest she is in 50th position, therefore there are 49 runners that are slower than her.

The total number of runners will be the sum of those faster than Lucy, those slower than Lucy and Lucy:
49 + 49 + 1 = 99

There are 99 runners in Lucy's school.

7 0

4 years ago