Answer:
D
Step-by-step explanation:
Δ ABC and Δ RSC are similar triangles, thus the ratio of corresponding sides are equal, that is
=
, substitute values
=
= 3 ( multiply both sides by 5 )
BC = 5 × 3 = 15 → D
For this case we have that the main function is given by:

We apply the following transformations:
Vertical expansions:
To graph y = a * f (x)
If a> 1, the graph of y = f (x) is expanded vertically by a factor a.
For a = 5 we have:

Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
For k = 5 we have:

Answer:
The graph of g (x) is the graph of f (x) stretched vertically by a factor of 5 and translated up 5 units.
Answer:19/30
Step-by-step explanation:
1. multiply and divide(left to right)-1/6
=-1/6+4/5
2.multiply and divide(left to right)4/5
=-1/6+4/5
3. add and subtract(left to right)-1/6+4/5=19/30
=19/30
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Answer:
c
Step-by-step explanation:
come on ! you can literally see that in the chart.
how many parts of the gray 3/8 are covered by the gray 1/4 ?
2 parts = 2/8 are clearly covered by 1/4.
2/8 is what part of 3/8 ?
it is the same question as "2 is what part of 3" ?
is 2 a quarter (1/4) of 3 ? no, 1/4×3 = 3/4 and not 2.
is 2 one third (1/3) of 3 ? no, 1/3 of 3 = 1/3×3 = 1 and not 2.
is 2 two thirds (2/3) of 3 ? ah, 2/3 × 3 = 2. that is correct !
is 2 three quarters (3/4) of 3 ? no, 3/4×3 = 9/4 and not 2.
once you have the same denominator, you can easily compare the numerators and ignore the denominators for such problems.