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3 years ago

The equation y = 10x + 15 represents a gym that charges. What is the slope and y-intercept?

Mathematics

1 answer:

slega [8]3 years ago

8 0

Answer:

Slope=10 Y=15

Step-by-step explanation:

Goes up by 10

Starts at 0,15

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If sin(x) = 1/2, what is cos(x) and tan(x)? Explain in full sentences

lawyer [7]

In quadrant #1:
When sin (x) = 1/2
cos(x) = sqrt(3)/2
Tan(x) = sqrt(3)/3
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4 years ago

Can someone help me how to write the equations of this three problems?

drek231 [11]

Number 11:

(356-50) ÷ 17 = x

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4 years ago

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The measure of an angle is nineteen times the measure of a supplementary angle. what is the measure of each angle?

Kruka [31]

Lets say the angle is a and its supplementary is b:
since a+b=180 and a=19*b,
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4 years ago

Given sin θ = 3/5 what is sec θ?

PIT_PIT [208]

Answer:

5/4

Step-by-step explanation:

To do this you must know that by definition secant is:

$sec(\theta)=\frac{1}{cos(\theta)}$

Furthermore:

$sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}$

Based on this information we know that 3 = opposite and 5 = hypotenuse. Assuming this is a right triangle we can determine the adjacent side by Pythagorean Theorem.

$c^2=a^2+b^2$

Where c is the hypotenuse, a is adjacent and b is opposite. Therefore,

$c^2=a^2+b^2\\\\a=\sqrt{c^2-b^2} \\\\a=\sqrt{5^2-3^2} \\\\a=4$

And so the adjacent side of this triangle is 4. Going back to the definition of secant we can now know that:

$sec(\theta)=\frac{1}{cos(\theta)}=\frac{1}{\frac{4}{5}}=\frac{5}{4}$

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4 years ago

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How many solutions does this equation have?

fenix001 [56]

Answer: exactly one solution

Explanation: first we have to solve it. so in 2 + 6x = 3x + 3 we have to subtract 2 from both sides and we get 6x = 3x + 1. then, we subtract 3x from both sides and we get 3x = 1. we divide both sides by 3 and get x = 1/3, which is the only solution.

hope this helped!

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3 years ago