Answer: The required scale factor of the dilation is 4.
Step-by-step explanation: Given that the parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.
We are to find the scale factor of the dilation.
From the graph, we note that
JH = 2 units and J'H' = 8 units.
We know that

Therefore, the scale factor of the given dilation is

Thus, the required scale factor of the dilation is 4.
Answer: She will need 36 yards of material.
Step-by-step explanation:
16 × 2¹/₄ can be done different ways,
First multiply ¹/₄ times 16. that is the same as dividing 16/4 = 4
Then multiply 2 times 16 2×16 = 32
Add 32 + 4 = 36
Another way is to change 2¹/₄ to an improper fraction and multiply
⁹/₄ × 16
16
<u> ×9</u>
54
<u> +9 </u>
144
144/4 = 36
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Answer: the awnser is b 22.2.
Step-by-step explanation: have a nice day
Answer:
B
Step-by-step explanation:
Answer:
(f + g)(x) = 7x - 1
Step-by-step explanation:
Given : f(x) = 5x – 2 and g(x) = 2x + 1
We have to find (f + g)(x)
Consider (f + g)(x) = f(x) + g(x)
Also, given f(x) = 5x – 2 and g(x) = 2x + 1
Substitute, we have,
f(x) + g(x) = 5x - 2 + 2x + 1
Like Terms are terms having same variable with same degree.
Simplify by adding like terms, we have,
f(x) + g(x) = 5x + 2x - 2 + 1
f(x) + g(x) = 7x - 1
Thus, (f + g)(x) = 7x - 1