Answer:
Step-by-step explanation:
“the center of the ellipse is located below the given co-vertex”
Co-vertex and center are vertically aligned, so the ellipse is horizontal.
Equation for horizontal ellipse:
(x-h)²/a² + (y-k)²/b² = 1
with
a² ≥ b²
center (h,k)
vertices (h±a, k)
co-vertices (h, k±b)
foci (h±c,k), c² = a² -b²
One co-vertex is (-8,9), so h = -8.
One focus is (4,4), so k = 4.
Center (h,k) = (-8,4)
c = distance between center and focus = |-8 - 4| = 12
b = |9-k| = 5
a² = c² + b² = 169
(x+8)²/169 + (y-4)²/25 = 1
The grizzly bears heart would drop 20% during hibernation
Your answers is
(1,-1)
(2,1)
The slope of this line is 1/2.
In order to find the slope of any equation, you can take two points and use the slope formula. For ease, we'll use the two intercepts that you can see: (0, -3) and (6, 0). The formula for slope is below.
m = (y2 - y1)/(x2 - x1)
In this equation, m is the slope and (x1, y1) is the first ordered pair and (x2, y2) is the second. So we place those values in to solve for m.
m = (y2 - y1)/(x2 - x1)
m = (0 - -3)/(6 - 0)
m = 3/6
m = 1/2
And that is your slope.
Answer:
Measure of angle b = 35 degrees
Step-by-step explanation:
180 degrees is the total degrees in a triangle, so you have to do 180-80-65
180-80 = 100
100-65 = 35!
