Answer:
See below
Step-by-step explanation:
<u>Part A</u>
A vertical stretch takes place when 
given that 
<u>Part B</u>
A vertical compression takes place when given that 
<u>Part C</u>
A vertical stretch is different than a horizontal compression:
- In a vertical stretch, the input stays the same, but the output is multiplied by the scale factor
- In a horizontal compression, the output stays the same, but the input is multiplied by the scale factor
<u>Part D</u>
A reflection across the x-axis means that the output, our y-variable, is the opposite sign. This means that all values of 
must be negative such that as mentioned in parts A and B. Also, in part C, since our scale factor is negative, the output is the only one being multiplied by the scale factor.
Answer:
80
Step-by-step explanation:
first, put in (5x-4) for the x in g(x).
g(f(x))=(5x-4)^2 -1
now, FOIL and simplify.
25x^2-40x+16-1
25x^2-40x+15
now, plug in -1 for x.
25(-1)^2-40(-1)+15
25+40+15
80
Answer:
steps below
Step-by-step explanation:
arc QR = 2x57 - 41 = 73
arc PQ = 360 - 73 - 41 - 137 = 109
m∠Q = (41+137) / 2 = 89°
m∠R = (109+137) / 2 = 123°
m∠S = (109+73) / 2 = 91°
check: ∠R+∠p = 123+57 = 180
∠Q+∠S = 89+91 = 180
Step-by-step explanation:
Two legs of the right triangle are 6 and 9. We can find its third side as follows :
The above is called Pythagoras theorem and it is applicable for a right angled triangle.
a,b and c are base, perpendicular and hypotenuse respectively
c is the third side
So,
Hence, Cade and Tyce both are correct. The length of the missing side is 10.82
