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8090 [49]
3 years ago
12

Which equation represents a circle with the same center as

Mathematics
1 answer:
GarryVolchara [31]3 years ago
7 0

The Equation (x-5)^2 + (y-4)^2 = 4 is the equation which represents a circle with the same center.

Step-by-step explanation:

  • The equation of a circle is  (x – h)2 + (y – k)2 = r2,
  • Therefore substituting the values in the above equation of circle. we get
  • (x-5)^2 + (y-4)^2 = 4

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D

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two-eighths of the students are boys. If there are 13 boys in the class, how many students are there in all?​
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Marysya12 [62]

Saving of $2.10 is made by buying fleece vest on sale.

<u>Solution:</u>

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When we buy at regular price, total amount including sales tax which needs to be paid is:

\mathrm{A}_{\mathrm{R}} = 15.99 + 5% of 15.99

\begin{array}{l}{\mathrm{A}_{\mathrm{R}}=15.99+5 \times \frac{15.99}{100}} \\\\ {\mathrm{A}_{\mathrm{R}}=15.99\left(\frac{105}{100}\right)=15.99 \times 1.05}\end{array}

When buy at sales price, total amount including sales tax which needs to be paid that is

\begin{array}{l}{\mathrm{A}_{\mathrm{S}}=13.99+5 \% \text { of } 13.99} \\\\ {\mathrm{A}_{\mathrm{S}}=13.99+5 \times \frac{13.99}{100}} \\\\ {\mathrm{A}_{\mathrm{S}}=13.99\left(1+\frac{5}{100}\right)} \\\\ {\mathrm{A}_{\mathrm{S}}=13.99\left(\frac{105}{100}\right)=13.99 \times 1.05}\end{array}

\text { Saving made }=\mathrm{A}_{\mathrm{R}}-\mathrm{A}_{\mathrm{S}}

\begin{array}{l}{=(15.99 \times 1.05)-(13.99 \times 1.05)} \\\\ {=1.05(15.99-13.99)} \\\\ {=1.05 \times 2=\$ 2.10}\end{array}

Hence saving of $2.10 is made by buying fleece vest on sale.

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3 years ago
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