Answer:
x = 11
Step-by-step explanation:
(x+5)2 = 32
2x + 10 = 32
2x = 32 - 10
2x = 22
x = 11
Answer:
t=0 and t=5
Step-by-step explanation:
5t = t^2
Subtract 5t from each side
5t-5t = t^2 -5t
0= t^2 -5t
Factor out a t
0= t(t-5)
Using the zero product property
t=0 and t-5 =0
t=0 and t-5+5=0+5
t=0 and t=5
a) x=4 is 5 units to the right of x=-1.
y=12 is 4 units up from y=8.
Your point (-1, 8) is translated to (4, 12).
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b) If the parent function f(x) = x is translated so it goes through (4, 12), the translated function can be written ...
... g(x) = f(x-4) +12 = (x -4) +12
... g(x) = x +8
1 bottle cap is 1.2 cm, so two caps would be 2.4 cm ( 1.2 x 2)
The scale is 2.4 cm: 1 foot, so 2 bottle caps would equal 1 foot.
The building is 20 feet tall
20 feet x 2 caps per foot = 40 caps total.
Step-by-step explanation:
When you move point A horizontally to the right or left, the measures of angles ADC and ADE change, but the sum of their measures is always 180° since angles ADC and ADE are a linear pair and are supplementary, so the sum of their measures is 180°.
The same is true of point B moving horizontally and the measures of angles BEF and BED.
