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erma4kov [3.2K]
4 years ago
8

write a slope intercept equation for a line with the given characteristics m=4/15, passes though (5,8)

Mathematics
1 answer:
morpeh [17]4 years ago
5 0
The answer to the question

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A point on the terminal side of an angle theta is given. Find the exact value of each of the six trigonometric functions of thet
statuscvo [17]

Answer:

Step-by-step explanation:

Plot that point in the x/y coordinate plane to see that it sits in the third quadrant.  From the point, draw a line to the origin, constructing a right triangle.  The side adjacent to the angle is -2, the side across from the angle is -5, so we need to find the length of the hypotenuse using Pythagorean's Theorem:

c^2=(-5)^2+(-2)^2 and

c^2=25+4 so

c=\sqrt{29}

That means that

sin\theta=-\frac{5}{\sqrt{29} }=-\frac{5\sqrt{29} }{29} and

csc\theta=-\frac{\sqrt{29} }{5}

That means that

cos\theta=-\frac{2}{\sqrt{29} }=-\frac{2\sqrt{29} }{29} and

sec\theta=-\frac{\sqrt{29} }{2}

It also means that

tan\theta=\frac{5}{2} and

cot\theta=\frac{2}{5}

4 0
4 years ago
If DH = 4x – 10 and FH = x + 8, find the value of x for which DEFG must be a parallelogram
Zanzabum
I think it is a rectangle..........But i'm not sure what are your options



6 0
4 years ago
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Blababa [14]

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Step-by-step explanation:

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3 years ago
The sum of two consecutive numbers is -165. Find the value of the smaller number.
zalisa [80]

Let's say the smaller number is x.  Then, we can represent the larger number as x + 1. The +1 means that it's both larger, because adding makes a number larger, and consecutive, because it's 1 greater or less.

Then, we can write an equation. The sum of the two numbers is x + (x + 1), and it's equal to -165.

x + (x + 1) = -165

2x + 1 = -165

2x = -166

x = -83

Since x = -83, the smaller number is -83.

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Full question plzz we need to know what the core is
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