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lilavasa [31]
3 years ago
6

Write the equation of the line that passes through 7, 0 and is parallel to y = -3x + 4​

Mathematics
1 answer:
Mazyrski [523]3 years ago
8 0

Answer:

y = - 3x + 21

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 4 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes , then

y = - 3x + c ← is the partial equation

To find c substitute (7, 0 ) into the partial equation

0 = - 21 + c ⇒ c = 0 + 21 = 21

y = - 3x + 21 ← equation of parallel line

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As for the right angle triangle the ratio of opposite side to the hypotenuse side is equal to the sine angle.

The distance of the top of the slide from the ground is 24 foot (to nearest foot). Thus option 3 is the correct option.

<h3>What is right angle triangle?</h3>

A right angle triangle is a triangle in which, one of the angle measures equals to the 9 degrees.

Given information

The angle of depression from top of the slide to the pool is 31. 66°.

The height of the slide is 46 feet.

Image is attached below for the given problem.

As for the right angle triangle the ratio of opposite side to the hypotenuse side is equal to the sine angle.

Thus,

\sin(31.6^o)=\dfrac{x}{46} \\x=46\times \sin (31.6^o)\\x=46\times 0.5249\\x=24.145

Hence the distance of the top of the slide from the ground is 24 foot (to nearest foot). Thus option 3 is the correct option.

Learn more about the right angle triangle here;

brainly.com/question/2028228

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3 years ago
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NemiM [27]

Answer:

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3 0
4 years ago
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205
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Answer:

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Step-by-step explanation:

The computation of the probability is shown below;

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She would need to make an 89 on her last test. I hope this helped ^^


What I did is I put a made a list in ascending order (Least to greatest). Next, I added a number starting from 80 and then counted up. I added every number together and divided it by 5 every time I changed the number. Finally I got to the number 89 and it totaled to be 85.
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3 years ago
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