If you are describing transformations with respect to the graph of f(x) = x:
f(x) = x has no transformation
g(x) = (x+2) - 3 is the graph of f(x) translated 2 units left and 3 units down
2(h(x) = x-1) is the graph of f(x) vertically expanded by a factor of 2 and then translated 1 unit right
d(x) = 1/2x + 2 is the graph of f(x) vertically compressed by a factor of 1/2 and then translated 2 units up
Answer:
Step-by-step explanation:
10) Triangle ABC is similar to triangle EDC. This means that
AB/ED = BC/DC = AC/EC
Therefore,
(3x - 5)/32 = (5x - 5)/56
Cross multiplying, it becomes
56(3x - 5) = 32(5x - 5)
168x - 280 = 160x - 160
168x - 160x = 280 - 160
8x = 120
x = 120/8 = 15
11) Triangle JKL is similar to triangle triangle MKN. This means that
JK/MK = KL/KN = JL/MN. Therefore,
32/12 = (3x - 2)/(x + 1)
Cross multiplying, it becomes
32(x + 1) = 12(3x - 2)
32x + 32 = 36x - 24
36x - 32x = 32 + 24
4x = 56
x = 56/4 = 14
12) Triangle BCD is similar to triangle GEF. This means that
BC/GE = CD/EF = BD/GF. Therefore,
(x + 4)/51 = (2x - 7)/57
Cross multiplying, it becomes
57(x + 4) = 51(2x - 7)
57x + 228 = 102x - 357
102x - 57x = 228 + 357
45x = 585
x = 585/45 = 13
Answer:
A
Step-by-step explanation:
Let's assume the first pool to have dimensions 3.0 by 2.0
The second pool being 2.1 times the first will have dimensions 6.3 * 4.2
The area of the first pool is 6.0 and that of the second is 26.46
making the area of the second pool 4.41 times that of the first.
Answer:
2 1/2 ft
Step-by-step explanation:
Area is given by the formula
A = l*w
We know the area is 8 1/2
Changing this to an improper fraction 8 1/2 = (2*8 +1)/2 = 17/2
The width is 3 2/5 as an improper fraction = (5*3+2)/5 = 17/5
A = l*w
17/2 = l* 17/5
Multiply each side by 5/17
17/2 * 5/17 = l* 17/5 * 5/17
5/2 = l
2 1/2 = l
It’s 13.6
For finding perimeter, you just add all your values together.
