Can someone show me how to do it and the answer

Mathematics

1 answer:

Virty [35]2 years ago

3 0

Answer:

Step-by-step explanation:

The equation of a circle is

(x-h)^2 + (y-k)^2 = r^2

h= 9, k = -7

r = 2, so r^2 = 4.

We now know that the equation must equal 4, so we can rule out answers A and C.

Plug in the values for h and k to get

(x-9)^2 + (y+7)^2 = 4

Choice B is correct!

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When Spencer was 5, he was 28 inches tall. Today he is 5 feet 3 inches tall. What is the percent increase in Spencer’s height?

Flura [38]

Answer:

The percentage increase in Spencer’s height is 125 %

Solution:

$\begin{array}{l}{\text { Percentage increase }=\frac{\text { change in height }}{\text { initial height }} \times 100 \%} \\\\ {\text { percentage increase }=\frac{\text { increased height - initial height }}{\text { initial height }} \times 100 \%}\end{array}$

Initial height of spencer = 28 inches

Increased height of spencer = 5 feet 3 inches

= 5 feet + 3 inches

(5 feet = 5 ×12=60 inches)

= 60 + 3

$\begin{array}{l}{\text { Increased height }=63 \text { inches }} \\ {\text { Percentage increase }=\frac{63-28}{28} \times 100 \%} \\\\ {=\frac{35}{28} \times 100 \%} \\\\ {=1.25 \times 100 \%} \\ {\text { percentage increase in height of spencer }=125 \%}\end{array}$