Step-by-step explanation:
Centre of circle(h,k)=(1,-4)
radius of the circle(r)=2
Equation of the circle is,
(x-h)^2+(y-k)^2=r^2
(x-1)^2+(y+4)^2=2^2
x^2-2x+1+y^2+8y+16=4
x^2+y^2-2x+8y+13=0 is the req.equation of the circle.
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Parallel lines refers to a pair of straight lines that never intercept or touch each other. The slopes of this lines is the same one.
On this exercise is given the equation of a line, and is asked to find the slope of a line that is parallel to the given one.
5x-3y=1 Subtract 5x in both sides
-3y=-5x+1 Divide by -3 in both sides to isolate y
y=5/3x-1/3
The slope of the given line, 5x-3y=1, is 5/3, which means that the slope of a line parallel to this one, would be 5/3.
Step-by-step explanation:
(2, 4), (4, 8) and (5, 10) are on the line y = 2x.
Hence they line on a straight line,
The line passes through the origin, and
it shows a proportional relationship.
You have two binomials. I would just FOIL them:
First: 4 x 2 = 8
Outside: 4 (-√3) = -4√3
Inside: -3√3 (2) = -6√3
Last: -3√3 (-√3) = 9
Addummup: 8 - 4√3 - -6√3 + 9 = 17 - 10√3
Answer:
7)probability
6)intercept
5)chance
10)hybrid
Step-by-step explanation: