Answer:
Step-by-step explanation:
Answer:
x = ±sqrt(y-11)
Step-by-step explanation:
y = x^2 +11
Subtract 11 from each side
y -11 = x^2 +11-11
y-11 = x^2
Take the square root of each side
±sqrt(y-11) = sqrt(x^2)
±sqrt(y-11) = x
Answer: sqrt(2)/2 which is choice D
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Explanation
(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).
The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle
180-135 = 45
Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2
sine is positive in quadrant 2
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Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2
Recall that y = sin(theta).
Would it be 2:1? I really don't know, I haven't learned that yet, sorry
Answer:
C is (-18, 24)
Scale factor 1 1/3
A is (9, - 4 1/2) *4 1/2 is also 4.5
Step-by-step explanation:
When we take a look at image B (-24, -12) and pre image B (-18, -9),
we can work out the scale factor by
(-24/-18) and (-12/-9) both equal 4/3
So using the scale factor to go from the pre image to the image,
We can find C coordinate by multiplying pre image C by the scale factor.
C is (-13.5 x 4/3) and (18 x 4/3)
C is (-18, 24)
The scale factor is 4/3, which is the mixed numeral of 1 1/3.
To find the pre image of point A we divide the image by the scale factor
A is (12/(4/3)) and (-6/(4/3))
A is (9, - 4 1/2)
Hope this helps,
Cate
