Answer:
56 in
Step-by-step explanation:
Square ....so each side is = x
x * x = area = 196
x^2 = 196
x = sqrt (196) = 14 in
perimeter = x + x + x + x = 56 in
Answer:
7) C) PQR ≈ TSR
8) B) 3
9) D) 102 ft
10) D) 21
11) C) 45
Step-by-step explanation:
7) C) PQR ≈ TSR
8) 2 * 6 = 12
so 4x = 12
x = 3
9)
24/20 = x/85
x = 24 * 85 / 20
x = 202 ft
10)
QT/35 = 24/40
QT/35 = 3/5
QT = 35 * 3 / 5
QT = 21
11)
ΔKLM ≈ΔXYZ
9/4 = 2.25
So
XY = 9 ---> given
YZ = 7 * 2.25 = 15.75
XZ = 9 * 2.25 = 20.25
Perimeter ΔXYZ = 9 + 15.75 + 20.25 = 45
Answer:
B
Step-by-step explanation:
because 4 and 3 are grouped together you would add them first. this would change the outcome of the problem.
<h3>
Answer: Choice A</h3>
Domain = (a,b]
Range = [mc + n,md + n)
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Explanation:
The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).
Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.
-------------------
The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...
g(x) = m*f(x) + n
g(x) = m*c + n
All we're doing is replacing f with c.
So that means mc+n is the starting point of the range for g(x).
The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.
If from the negative to the positive side, count how many dots are in between and add together. So it is 6 units apart or 6 dots apart.
