Answer:
12. h=3
13. h=-3
Step-by-step explanation:
12. Recall that
is a horizontal shift since h is being applied within the operation to the input. This means that h will slide the function left or right. Since the function f has a point at (1,-2) and g has the same point at (4,-2) then the function has moved 3 units 1+3=4 to the right. h=3.
13. Once again, h is a horizontal shift meaning the graphs has moved left or right only. Looking at g it has a point at (-2,2) while f has the same point at (1,2). So the graph f has moved to the left 3 units. This is h=-3 since 1+-3 = -2.
The lengths (in centimeters) of the opposite side pairs are 59 cm , 38 cm. Option C) is the correct answer.
<u>Step-by-step explanation</u>:
<u>step 1</u> :
Given that,
Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent.
<u>step 2</u> :
The opposite sides are AB and CD respectively.
The another opposite sides are BC and AD respectively.
<u>step 3</u> :
If both pairs of opposite sides are congruent, then
AB = CD
44+3x = 64-x
3x+x = 64-44
4x = 20
x = 5
<u>step 4</u> :
BC = AD
33+y = 48-2y
y+2y = 48-33
3y = 15
y = 5
<u>step 5</u> :
Subsitute x=5 and y=5 in any of the given sides,
CD = 64-x = 64-5 = 59
∴ CD = 59 cm
BC = 33+y = 33+5 = 38
∴ BC = 38 cm
The lengths of the opposite side pairs are 59 cm , 38 cm.
Answer: x>8
Step-by-step explanation: when we plug g(x) into f(x) we get sqrt7(1/x-8) and when you graph (as shown below) this you see that the graph has a vertical asymptote of 8 therefore the domain is x>8
It’s d or a but it’s probably d don’t take my word for it boy
Answer:
x = 36
Step-by-step explanation: