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IRINA_888 [86]
4 years ago
15

Identify K the constant of variation, for each direcr variation. -2y=5x​

Mathematics
1 answer:
DIA [1.3K]4 years ago
7 0

Answer:

Y=7x

Step-by-step explanation:

-2y=5x

+2 +2

y=7x

That's all you have to do, simple.

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Pls answer fast!! Which operation should you perform first when you simplify the following expression?
Andrei [34K]

Answer: Division

Parentheses first according to the order of operations, and the next thing you do is divide inside the parentheses.

3 0
3 years ago
1.) What is the value of cosθ given that (−5, −4) is a point on the terminal side of θ?
jeka57 [31]

Answer:

1) C

2) D

Step-by-step explanation:

1)

We want to find the value of cos(θ) given that (-5, -4) is a point on the terminal side of θ.

This is represented by the diagram below.

Recall that cosine is the ratio of the adjacent side to the hypotenuse.

Find the hypotenuse:

\displaystlye \begin{aligned} a^2 + b^2 &= c^2 \\ c &= \sqrt{a^2 + b^2} \\ &= \sqrt{(4)^2 + (5)^2} \\ &= \sqrt{41}\end{aligned}

The adjacent side with respect to θ is -5 and the hypotenuse is √41. Hence:

\displaystyle \begin{aligned}\cos \theta &= \frac{(-5)}{(\sqrt{41})} \\ \\ &= - \frac{5\sqrt{41}}{41}  \end{aligned}

Our answer is C.

2)

We want to find the value of sin(θ) given that (-6, -8) is a point on the terminal side of θ.

This is represented in the diagram below.

Likewise, find the hypotenuse:

\displaystyle c = \sqrt{(-6)^2 + (-8)^2} = 10

Sine is given by the ratio of the opposite side to the hypotenuse.

The opposite side with respect to θ is -8 and the hypotenuse is 10. Hence:

\displaystyle \begin{aligned}\sin \theta &= \frac{(-8)}{(10)} \\ \\ &= -\frac{4}{5} \end{aligned}

Our answer is D.

8 0
3 years ago
Calculate the value of b.<br>(b-15)<br>3b°<br>(2b + 45°<br>Diagram not drawn accurately​
e-lub [12.9K]

Answer:

b = 30

Step-by-step explanation:

The sum of the 2 angles above the line will equal the angle below the line

3b + b - 15 = 2b + 45

4b - 15 = 2b + 45 ( subtract 2b from both sides )

2b - 15 = 45 ( add 15 to both sides )

2b = 60 ( divide both sides by 2 )

b = 30

7 0
3 years ago
todd is 33 years old; his nephew jacob is 12. in how many years will jacob be 1/2 his uncle todd’s age
MakcuM [25]

Answer: 4.5 years

Step-by-step explanation:

He will be 16.5 which is 1/2 of the 33 year olds age in 4.5 years

5 0
3 years ago
Read 2 more answers
How do you begin isolating the variable x to one side of the equation?
diamong [38]
You move all the varibles to one side and then divide it by the number it has remember if you do it for one side you do it to the other

6 0
4 years ago
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