Hello!
The equation for slope intercept form is y = mx + b, where m is the slope and b is the y intercept.
We can first find the slope. Perpendicular lines have slopes which are negative reciprocals of each other. This means that the slope of the line you're looking for would be the negative reciprocal of -2/9. The negative reciprocal of -2/9 is 9/2. Therefore, m = 9/2.
Substitute this into the equation. y = 9/2x + b. Now substitute in the point given and solve for b.
y = -4, x = -2
-4 = 9/2 (-2) + b
-4 = -9 + b
b = 5
Therefore, the final equation is y = 9/2x + 5.
Hope this helps!
The required equation of the parabola is (y-5)² = 20(x+2)
<h3>Equation of a parabola</h3>
The standard equation of a parabola is expressed as;
(y-k)² = 4p(x-h)
where;
vertex = (h, k)
focus = (p+k, k)
directrix x = -p + h
Note that the directrix given will determine the type of the equation of a parabola
Given the following parameters
focus = (-2, 5) = (h, k)
x = -p + h
3 = p -2
p = 5
Substitute
(y-k)² = 4p(x-h)
(y-5)² = 4(5)(x-(-2))
(y-5)² = 20(x+2)
Hence the required equation of the parabola is (y-5)² = 20(x+2)
Learn more on equation of parabola here; brainly.com/question/4061870
#SPJ1
Answer:
1020?
Step-by-step explanation:
im not sure completely but the formula for volume is length x width x height
Three fifths times 2 and five sixths is 1.7
Answer:
A = 11.7
Step-by-step explanation:
Just substitute the known values into the equation:
