Answer:
k = 5
Step-by-step explanation:
Calculate the slope m and then equate to 2
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (k, 3) and (x₂, y₂ ) = (6, k)
m = 
= 2 ( cross- multiply )
2(6 - k) = k - 3
12 - 2k = k - 3 ( subtract k from both sides )
12 - 3k = - 3 ( subtract 12 from both sides )
- 3k = - 15 ( divide both sides by - 3 )
k = 5
I believe the answer to this is:
8:<u>35</u>
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Hope this helps! :D
Answer:
A circle is centered at the point (-3,2) and passes through the point (1,5). The radius of the circle is (5 ) units. the point (-7, -1) and point (-7, 5) lies in this circle.
Step-by-step explanation:
equation of circle is
(X-center_X)^2 + (y-center_Y)^2 = r^2
==> (x+3)^2 + (y-2)^2 = r^2
Now it passes 1,5 so
4^2+3^2 = 5^2
==> r = 5
when x = -7
y = -1 or 5
When you expand the equation, you will have
9x + 9=25 + x
Next you have to collect like terms
+x will go over the equality sign to become -x. The same applies to +9
9x - x=23 - 9
9x minus x is 8x
8x=14
Divide both sides by 8
x=14/8
You will have 1 6/8
6 is the remainder while 1 is the number of times 8 divided 14.
In decimal, it will be 1.75
Hope that helped. Good luck
