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saw5 [17]
3 years ago
14

The equation of a circle is x2 + y2 =49 . What is the standard form of an equation of the circle after its center is translated

left 3 units and up 2 units
Mathematics
1 answer:
ivolga24 [154]3 years ago
8 0
Please write that x^2 + y^2 = 7^2.  The " ^ " indicates exponentiation.
This is the equation of a circle with center at the origin and radius 7.

Supposing that you translate this circle's center to point (h,k).  The equation is then 
            (x-h)^2 + (y-k)^2 = 7^2.  The new center is (h,k) = (-3, 2).  Substitute -3 for h and 2 for k in the above equation.

Simplify your result and you'll then be done!

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Which statements are true about the place values in the number 22.222? Choose all answers that are correct. A. The 2 in the tent
Vinvika [58]
B. THE 2 IN THE TENTHS PLACE IS 10 TIMES THE VALUE OF THE 2 IN THE HUNDREDTHS PLACE.

     2       2             .                          2          2                    2
tens ones      decimal point      tenths  hundredths  thousandths

2 in the tenths place = 0.20
2 in the hundredths place = 0.02

0.02 x 10 = 0.20

6 0
3 years ago
A survey of shoppers is planned to determine what percentage use credit cards. prior surveys suggest​ 63% of shoppers use credit
Alona [7]
We would need a sample size of 560.

We first calculate the z-score associated. with this level of confidence:
Convert 95% to a decimal:  95% = 95/100 = 0.95
Subtract from 1:  1-0.95 = 0.05
Divide by 2:  0.05/2 = 0.025
Subtract from 1:  1-0.025 = 0.975

Using a z-table (http://www.z-table.com) we see that this is associated with a z-score of 1.96.

The margin of error, ME, is given by:
ME=z*\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}

We want ME to be 4%; 4% = 4/100 = 0.04.  Substituting this into our equation, as well as our proportion and z-score,
0.04=1.96\sqrt{\frac{0.63(1-0.63)}{n}}
\\
\\\text{Dividing both sides by 1.96,}
\\
\\\frac{0.04}{1.96}=\sqrt{\frac{0.63(0.37)}{n}}
\\
\\\text{Squaring both sides,}
\\
\\(\frac{0.04}{1.96})^2=\frac{0.63(0.37)}{n}
\\
\\\text{Multiplying both sides by n,}
\\
\\n(\frac{0.04}{1.96})^2=0.63(0.37)
\\
\\n(\frac{0.04}{1.96})^2=0.2331
\\
\\\text{Isolating n,}
\\
\\n=\frac{0.2331}{(\frac{0.04}{1.96})^2}=559.67\approx560
3 0
3 years ago
Consider parallelogram ABCD. Which of the following transformations will change the perimeter of the parallelogram?
jeka57 [31]

In geometry, transformation involves changing the position and/or size of a shape.

<em>The transformation that will change the size of ABCD is dilation.</em>

There are four transformations in geometry:

  • Translation
  • Reflection
  • Rotation
  • Dilation

Of all types of transformation, dilation will change the size of the shape,

The new shape will either be enlarged or reduced

<em>Either ways, the size of the shape will be altered.</em>

<em>When the size is altered, the perimeter will not remain the same.</em>

<em />

Hence. dilation will change the perimeter of ABCD.

Read more about transformations at:

brainly.com/question/11709244

4 0
2 years ago
students surveyed boys and girls separately to determine which sport was enjoyed the most. After completing the boys survey, it
Anit [1.1K]
Im sorry i do not know the answer but i hope you have a wonderful day and never give up on things i almost gave up on a test i said i cant do it but i did i know this might sound pufft yeah sure its fake well its not
4 0
3 years ago
Can someone help me with this exempalar? The requirements for this are...
Lyrx [107]

Answer:

I will: Multiply 32 times 20 to get the total cost of the foods and tickets. Then I will add the total cost of the tickets and the total cost of the bus to get the total cost of the trip. Lastly I will divide the total cost of the trip by 2 to find out how much money the class need to earn.

Solution: 32 • 20 = 640 + 900 = 1,540 ÷ 2 = 770

Answer: 770

6 0
3 years ago
Read 2 more answers
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