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I am Lyosha [343]
3 years ago
9

Equation of direct variation involving a common proportion. Then identify the constant of variation

Mathematics
1 answer:
inessss [21]3 years ago
8 0
The equation for direct variation is y=kx where k is the constant of variation.
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If 0° ≤ θ ≤ 90° and cosθ = 11/15 , what is the value of sin (90° - θ)?
igor_vitrenko [27]
11/15=0.7333
cos^{-1}(0.7333) =42.83342
sin(90-47.166572) = 0.7333

first, find the numeric value for 11/15
second to find theta, simply do the <em>inverse</em> cos (which is cos^-1) of the first answer.
now you know theta, just do the sin of 90 - theta and that's it!

since you know whatr cos(theta) is, you just take the inverse cos of that number to get theta and 'reverse' cos, essentially. you are just solving for theta, by reversing the cos function with cos^-1
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3 years ago
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Translate triangle ABC 2 units left and 3 units up
kifflom [539]
1) Point A will be at (-4,4)
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JL is a common tangent to circles M and K at point J. If angle MLK measures 61ᵒ, what is the length of radius MJ? Round to the n
Dvinal [7]
In the problem of insufficient data quantities. I can get a general  solution.We know that tangent to a circle is perpendicular to the radius at the point of tangency. It's mean that triangles LJM and LJK are rights.

Let angle JLK like X.

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3 0
3 years ago
4.
valentinak56 [21]

Answer:

A

Step-by-step explanation:

<u>Slope- intercept </u><u>form</u>

y= mx +c, where m is the slope and c is the y-intercept.

The given equation is in the slope-intercept form and hence we can easily identify its slope by looking at the coefficient of x.

y= 2x +7

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Parallel lines have the same slope, thus the slope of the parallel line is also 2.

Substitute m= 2 into the general equation:

y= 2x +c

Substitute a pair of coordinates into the equation to find the value of c:

When x= 3, y= 11,

11= 2(3) +c

11= 6 +c

c= 11 -6

c= 5

Therefore the equation of the line is y= 2x +5.

6 0
2 years ago
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Simplify -2(x - 5) + 4(9 + x).
tatiyna

Step-by-step explanation:

= -2(x - 5) + 4(9 + x)

= -2x + 10 + 36 + 4x

= (-2 + 4)x + 10 + 36

= 2x + 46

3 0
2 years ago
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