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2 years ago

7

the center of a circle is on the line y=2x and the line x=1 is tangent to the circle at (1,6).find the center and the radius

1 answer:

Julli [10]2 years ago

6 0

The radius and the center of the circle are 4 units and (1,2), respectively

<h3>How to determine the center and the radius?</h3>

The center of the circle is on

y = 2x and x = 1

Substitute x = 1 in y = 2x

y = 2 * 1

Evaluate

y = 2

This means that the center is

Center = (1, 2)

Also, we have the point of tangency to be:

(x, y) = (1, 6)

This point and the center have the same x-coordinate.

So, the distance between this point and the center is

d = 6 - 2

d = 4

This represents the radius

Hence, the radius and the center of the circle are 4 units and (1,2), respectively

Read more about circle equation at:

brainly.com/question/10618691

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If y varies directly as x and y = 12 when x = 8, find y when x = 14.

Alex17521 [72]

The direct variation between x and y may be written as,
y = kx
where k is the constant of variation. From the first set of values of the variables,
12 = k(8)
the value of k is 1.5. Substituting the next set to the same equation,
y = 1.5(14)
The value of y is 21.

8 0

3 years ago

Solve the system of equations given . -2x+5y=-3

algol13

For this case we have the following system of equations:

$-2x + 5y = -3\\y-15 = 3x$

We multiply the second equation by -5:

$-5y + 75 = -15x$

Now we add the equations:

$-2x-5y + 5y + 75 = -3-15x\\-2x + 75 = -3-15x\\-2x + 15x = -75-3\\13x = -78\\x = \frac {-78} {13}\\x = -6$

We find the value of the variable "y":

$y = 3x + 15\\y = 3 (-6) +15\\y = -18 + 15\\y = -3$

THE solution is: (-6, -3)

Answer:

(-6, -3)

3 0

3 years ago

1) Madison went shopping and spent $125 she paid $45 in Texas what was the sale tax rate (percent)

Gnesinka [82]

Answer:

170

Step-by-step explanation:

<em>How the sales tax de-calculator works </em>

<em>Step 1: take the total price and divide it by one plus the tax rate. </em>

<em>Step 2: multiply the result from step one by the tax rate to get the dollars of tax. </em>

<em>Step 3: subtract the dollars of tax from step 2 from the total price. </em>

<em>Pre-Tax Price = TP – [(TP / (1 + r) x r] </em>

<em>TP = Total Price.</em>

3 0

3 years ago

Point J (-4, -6) and point K (4, 4) are located on a coordinate grid. Which measurement is closest to the distance between point

shepuryov [24]

Answer:

The points are sqrt(164) or 2sqrt(41) units apart.

Explanation:

You didn't provide the options in your question. But to find the distance, you need to use the distance formula.

d=sqrt((y2-y1)^2 + (x2-x1)^2)

d is the distance, and (x1, y1) and (x2, y2) are the points.

Use point J (-4,-6) for (x1,y1) and point K (4,4) for (x2, y2).

d=sqrt((4-(-6))^2 + (4-(-4))^2)

=sqrt(10^2 + 8^2)

=sqrt(100+64)

=sqrt(164)=2sqrt(41)

You can compare this to the answer options and find the closest. Hope I could help! :)

3 0

3 years ago

What is the slope of the line that passes through the points (-4,-2) and (-4,-22)? Write your answer in simplest form.

Anuta_ua [19.1K]

Answer:

$20x - 4 = 0$

Step-by-step explanation:

$\frac{y - y1 }{y2 - y1} = \frac{x - x1}{x2 - x1} \\ x1 = - 4 \\ y1 = - 2 \\ x2 = - 4 \\ y2 = - 22$

$x2 = - 4 \\ y2 = - 22$

8 0

3 years ago