What is the value of x in the equation 4(2x + 12) = 0? a −8 b −6 c 6 d 8
1 answer:
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Answer:
(x + 1)² + (y + 3)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² + 2x + 6y - 6 = 0
Collect the x and y terms together and add 6 to both sides
x² + 2x + y² + 6y = 6
To complete the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9
(x + 1)² + (y + 3)² = 16
with centre = (- 1, - 3) and r = = 4
Answer:
-3.5
The distance Rachel covers per hour is 3.5 miles
Step-by-step explanation:
After 2 hours, she is 13 miles from the campground.
After 4 hours, she is 6 miles from the campground.
Let x be the number of hours, y be the number of miles from the campground, then we have two points (2,13) and (4,6).
The equation of the line passing through the points and
is
Substitute:
Hence,
The slope of the line is and it represents that the distance Rachel covers per hour is 3.5 miles.
Answer:
slope = -
Step-by-step explanation:
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (3, 4 ) and (x₂, y₂ ) = (8, - 3 )
m = =
= -