Answer:
A
Step-by-step explanation:
To write the equation, find the slope of the line using the two points. Find the difference in y values over the difference in x values.
Write the equation using the slope m=3/2 and the point slope form.
This is the equation of the line. You can convert it to slope intercept form:
We are given original equation:
We need to find the enter and radius of a circle using the completing the square method.
The steps are as following :
Step 1 [original equation]: x^2 − 10x + y^2 + 12y = 20 .
Step 2 [group like terms]: (x^2 − 10x) + (y^2 + 12y) = 20
Step 3 [complete the quadratics]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 20 + (25 + 36).
Step 4 [simplify the equation]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 64.
Step 5 [factor each quadratic]: (x − 5)^2 + (y + 6)^2 = 8^2
Step 6 [identify the center and radius]: Center = (5, −6) Radius = 8.
<h3>Step 6 is incorrect.</h3><h3>The center should be (5,-6).</h3><h3> Replace − 5 with + 5 and replace + 6 with − 6.</h3><u>Part 1)</u> we have
------> equation A
------> equation B
Substitute the equation B in equation A
Find the value of x
the best approximation is the point
therefore
<u>the answer Part 1) is the option C</u>
<u>Part 2) </u>we have
------> equation A
------> equation B
equate equation A and equation B
Find the value of y
the solution is the point
therefore
<u>the answer Part 2) is </u>