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Olin [163]
3 years ago
14

A circle has its center in Quadrant I. It is tangent to the y-axis at (0,2) and its radius is 3. What is the equation of the cir

cle? Explain the process you use to find the equation.

Mathematics
1 answer:
hjlf3 years ago
3 0
We know that

the equation of a circle is
(x-h)²+(y-k)²=r²
r=3 units
where the center is the point (h,k)

if the circle is tangent to the y-axis at (0,2) and <span> its center in Quadrant I
</span><span>then
the center is the point (0+3,2)--------> (3,2)
therefore

the answer is
</span>(x-3)²+(y-2)²=9

see the attached figure

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1.
denis-greek [22]

Answer:

Part a) AB=15\ cm

Part b) AB=11.1\ cm

Part c) AB=3/5\ cm

Part d) AB=3s\ cm

Step-by-step explanation:

see the attached figure to better understand the question

we know that

To find the length of the image after a dilation, multiply the length of the pre-image by the scale factor

Part a) we have

The scale factor is 5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

3(5)=15\ cm

Part b) we have

The scale factor is 3.7

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

3(3.7)=11.1\ cm

Part c) we have

The scale factor is 1/5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

3(1/5)=3/5\ cm

Part d) we have

The scale factor is s

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

3(s)=3s\ cm

7 0
3 years ago
A rotating sprinkler waters the lawn outside the lodge at Oak Tree State Park. The sprinkler rotates in a full circular path and
ki77a [65]

Answer:

it is 7squere meters

Step-by-step explanation:

7 0
3 years ago
Solve the equation: <br><img src="https://tex.z-dn.net/?f=2%20%7Bx%7D%5E%7B2%7D%20%20%2B%207x%20-%203%20%3D%200" id="TexFormula1
Genrish500 [490]

Answer:

delta =  {7}^{2}   - 4 \times 2 \times ( - 3) \\  = 49 + 24 = 73 \\ x 1=  \frac{ - 7 +  \sqrt{73} }{4}  \\ x 2=  \frac{ - 7  -  \sqrt{73} }{4}

3 0
3 years ago
The average car decreases in value by about 15% per year. If a car's original value is $28,000, which function best represents i
andrey2020 [161]

Answer:

D

Step-by-step explanation:

D

6 0
3 years ago
Given that x &lt; 5, rewrite 5x - |x - 5| without using absolute value signs.
arsen [322]

For x, x-5, therefore |x-5|=-(x-5)=-x+5

So, for x, 5x-|x-5|=5x-(-x+5)=5x+x-5=6x-5

8 0
3 years ago
Read 2 more answers
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