Let's convert the equation in point-slope form to slope-intercept form.
y - 4 = -(x - 6)
Multiply everything out.
y - 4 = -x + 6
Add 4 to both sides.
y = -x + 10
To be perpendicular, the slope of the new has to be the reciprocal of the other line. To slope in this equation is -1/1. To get the reciprocal, flip the numerator and denominator and change the sign too.
-1/1 becomes 1/-1, and changes to 1/+1, or 1.
y = x + b
Input the coordinate point and solve for b.
-2 = -2 + b
Add 2 to both sides.
0 = b
y = x
Answer:
5.4285
Step-by-step explanation:
Calculator
Answer:
8.5 in
Step-by-step explanation:
Area = Length × Width
153 = L × 18
L = 153÷18
L= 8.5
L= 8.5 in
18 mile per hour
Step-by-step explanation:
average speed = total distance covered by total time taken
so, avg. speed = ( 2+ 7 ) / ( 20 + 10 )
= 9 / 30
= 3 / 10
= 0.3 miles per minute
= 18 mile per hour
The vertex of the graph is at (5, (6 + 2)/2) = (5, 4)
The equation of a quadratic graph is given by y - k = 4p(x - h)^2, where (h, k) is the vertex, p is the distance from the vertex to the focus.
Here, (h, k) = (5, 4) and p = 6 - 2 = 2 and since the focus is on top of the directrix, the parabola is facing up and the value of p is positive.
Therefore, the required equation is y - 4 = 4(2)(x - 5)^2
y - 4 = 8(x^2 - 10x + 25)
y - 4 = 8x^2 - 80x + 200
y = 8x^2 - 80x + 204
