Answer:
option 1
Step-by-step explanation:
(-2) (25/7)
-50/7 = -7 1/7
Answer:
12ft
Step-by-step explanation:
Answer: Choice A) 1/9
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Work Shown:
Replace every x with -4 and then simplify the right side
f(x) = 9(3)^x
f(-4) = 9(3)^(-4)
f(-4) = 9*(1/(3^4)) See note below
f(-4) = 9*(1/(3*3*3*3))
f(-4) = 9*(1/81)
f(-4) = 9/81
f(-4) = 9/(9*9)
f(-4) = 1/9
Note: I used the rule x^(-n) = 1/(x^n) which allows us to convert from negative exponents to positive ones.
2/3 is not equivalent to 1/3
2/6 is equivalent to 1/3
Number one:
Answer:
12 feet
Step-by-step explanation:
Draw a diagram (see picture below). The tree and its shadow is one triangle, the man and its shadow is another triangle. We assume both are right triangles because people and trees stand vertical.
Create a proportion to solve. Put the missing value in a numerator.
Tree height / Tree shadow = Man height / Man shadow
Solve using cross multiplication. Multiply x by 4. Multiply 6 by 8.
4x = 48 Divide both sides by 4 to isolate x.
x = 12 Height of tree
The tree is 12 feet tall.
Second one is the picture is put.