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denis23 [38]
3 years ago
14

Factor completely.

Mathematics
1 answer:
Marta_Voda [28]3 years ago
8 0
<span>x^2 - 3x - 28 = </span><span>(x - 7)(x + 4)

answer
first one
</span><span>(x - 7)(x + 4)
</span>
hope it helps
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let (-5,-7) be a point on the terminal side of theta. find the exact values of cos theta, sec theta, and cot theta
Svet_ta [14]

a. The exact value of cosθ = -5/√74

b. The exact value of secθ = -√74/5

c. The exact value of cotθ = 5/7

<h3>How to find the trigonometric ratios</h3>

Since the terminal side of the θ is the point, (-5, -7), we need to find the length of the terminal side.

So, r = √(x² + y²) where

  • x = -5 and
  • y = -7

So, r = √(x² + y²)

r = √((-5)² + (-7)²)

r = √(25 + 49)

r = √74

<h3>The value of the trigonometric ratio cosθ</h3>

Since the trigonometric ratio cosθ = x/r

Substituting the values of x and r into the equation, we have

cosθ = x/r

cosθ = -5/√74

So, the exact value of cosθ = -5/√74

<h3>The value of the trigonometric ratio secθ</h3>

Since the trigonometric ratio, secθ = r/x

Substituting the values of x and r into the equation, we have

secθ = r/x

secθ = √74/-5

secθ = -√74/5

So,  the exact value of secθ = -√74/5

<h3>The value of the trigonometric ratio cotθ</h3>

Since the trigonometric ratio cotθ = x/y

Substituting the values of x and y into the equation, we have

cotθ = x/y

cotθ = -5/-7

cotθ = 5/7

So,  the exact value of cotθ = 5/7

Learn more about trigonometric ratios here:

brainly.com/question/1518222

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3 0
1 year ago
Sarah kept track of the points she scored during her first five basketball games in the table shown. easy help
AURORKA [14]

Answer:

E

Step-by-step explanation:

If you add 22 onto the sum of all the points and divide by the amount of games (6), you get 12.

8 0
2 years ago
It has been estimated that 72.7% of alcoholics need professional help to stop drinking. What is the probability that a random al
Svetradugi [14.3K]

The probability that a random alcoholic can kick the habit without professional help is 0.273 .

<h3>What is Probability ?</h3>

Probability is the study of likeliness of an event to happen.

It has a range of 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.

It is given that

The alcoholics that need professional help to stop drinking is 72.7 %

Therefore the probability of this is 72.7 /100 = 0.727

The probability that they will not need professional help is given by

q = 1 - p

q = 1 -0.727

q = 0.273

Therefore the probability that a random alcoholic can kick the habit without professional help is 0.273 .

To know more about Probability

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5 0
1 year ago
How many solutions does 4(x-5)+2=4x—18 have??
baherus [9]
Only one. These problems always have one solution unless something has changed.
4 0
3 years ago
Write the digits in the thousands place
Sloan [31]
What digits? is there specific types?

6 0
2 years ago
Read 2 more answers
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