Answer:d
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
Answer:
x = 150
D
Step-by-step explanation:
1 / tan(90 - x) = -√3/3 Cross multiply
3 = -√3 * tan(90 - x) Divide by -√3
3/-√3 = tan(90 - x) Rationalize the denominator
3 * √3 / (- √3 * √3 ) =tan(90-x)
3 * √3 / - 3 = tan(90 - x) Divide
- √3 = tan(90 - x) Take the inverse tan of -√3
tan-1(-√3) = 90 - x
-60 = 90 - x Add x to both sides.
x - 60 = 90 Add 60 to both sides
x = 150
Answer:
Step-by-step explanation:
Well, the center origin of the circle is given (h,k) = (-3,5).
Point on the circle is (x,y) = (1,8)
We have to find our radius as they gave us a point. from origin to the edge of the circle.
Using the formula: (x - h)^2 + (y - k)^2 = r^2
Plug in our (h,k) = (-3,5) and (x,y) = (1,8) to solve for radius.
(x - h)^2 + (y - k)^2 = r^2
(1 - (-3))^2 + (8 - (5))^2 = r^2
(4)^2 + (3)^2 = r^2
16 + 9 = r^2
r^2 = 25
r = 5
Answer:
y = -5x - 1
Step-by-step explanation:
Let the equation of a line parallel to the given line is,
y - y' = m(x - x')
Where m = slope of the line
And line passes through (x', y')
Equation of a line has been given as,
5x + y = 4
y = -5x + 4
Slope of this line = -5
By the property of parallel lines "slope of the parallel lines are same",
m = -5
Parallel line passing through (-1, 4) and slope 'm' = -5 will be,
y - 4 = -5(x + 1)
y - 4 = -5x - 5
y = -5x - 5 + 4
y = -5x - 1
Therefore, equation of the parallel line will be,
y = -5x - 1
