Answer in fraction form: x = 55/4
Answer in decimal form: x = 13.75
Both forms are equivalent, but they say it in a slightly different way.
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Work Shown:
AC/QY = CD/YW
(x+5)/15 = 5/4
4(x+5) = 15*5
4x+20 = 75
4x = 75-20
4x = 55
x = 55/4
x = 13.75
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Explanations:
- The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.
- In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.
- On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.
To transform the function
to have the amplitude of 3, we need to multiply the constant 3 to the function f(x), so we have
To transform the function
to have the midline
we need to subtract
by 4, so we have
,
To transform the function
to have period of
, we need to divide the original period
by 4, so we have
. Note that it is the
gives the effect of dividing the points on x-axes by 4 and the period is read on x-axes
Hence, the full transformation is given
which is the last option
Answer:
I cant see the question its very blurry
Step-by-step explanation:
It is a whole number, and is positive
Answer:
14. D
15. A
16. A
Step-by-step explanation:
14. Point slope form formula: y-y₁=m(x-x₁).
When graphing you always want to think x/y for your slope.
X-axis increases by 2 and the Y-axis increases by 10, which would make the slope (m) 2/10 = 1/5.
If your slope is does not come out correct, then you can prove your point.
15. The given information is (-2,2): m=-1.
Given the Point slope formula: y-y₁=m(x-x₁), you can replace m to -1, y₁=2 and x=+2. (Two negatives would make a positive.)
Your answer: y-2=-(x+2)
16. Given: y=4x-7; (3,0)
Parallels lines: Same slope different y-intercepts.
A and D has the same slope and different y-interecepts, but your answer would be A because the equation that was given as a negative y-intercepts.