Answer:
x = 15
Step-by-step explanation:
This involves the Secant and Segments Theorem.
8(19 + 8) = 9(9 + x)
216 = 81 + 9x
9x = 135
x = 15
Answer:
Step-by-step explanation:
We have been given the absolute value parent function f(x) = |x| and this function is vertically compressed by a factor 3.
If we multiply the function with a constant (say a) then the parent function will get stretch/compressed vertically.
We have below conditions for vertical stretch and compression.
a > 1 => vertically stretch
0 < a < 1 => vertically compression
Hence, in order to vertical compression by a factor 3, we have to multiply the whole function by 1/3
Therefore, the equation for new function is
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Answer:
70°
Step-by-step explanation:
The sum of triangle is 180
50+60+X= 180
110+X= 180
X= 180-110
X= 70
Answer:
y = 3x+2
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
= (23-20)/(7-6)
=3/1
We know the slope is 3
Using the slope intercept form of a line
y= mx+b where is the slope and b is the y intercept
y = 3x+b
Using a point (1,5)
5 = 3(1)+b
Subtract 3 from each side
5-3= 3-3+b
2 = b
y = 3x+2
Answer:
55
Step-by-step explanation:
88