Answer: 39
Step-by-step explanation: you have to plug in -4 into each x so that would be f(-4)=2(-4)(2)+7(-4)(3)-8(-4)(2)-21(-4)+7= 39
It works the same way if it begins negative, the negative in front of the 'x' terms just means that the hyperbola opens vertically.
'b' refers to distance from center to vertices in the 'y' direction because 'b' is with y term.
The vertices are at (0, +-4), b = 4
To find 'a' use the slope of the asymptotes.
slope = b/a = 4/a
Estimate slope by using a point that is farthest away from orgin, (10,20.5)
The asymptote will be slightly below the point (10,20)
This gives a slope of 20/10 = 2.
4/a = 2 ----> a = 4/2 = 2
Answer: a = 2, b = 4
Answer:
57.14$
Step-by-step explanation:
70/100 ( Remember 30% off so only paid 70% of original price) = 40/x ( 40$ is the price paid, x is the unknown original price)
<u>7</u><u>0</u><u> </u> = <u>4</u><u>0</u>
100 X
40×100 = 4,000
4,000÷ 70X = 57.14
Answer:
25×22/7 feet^2
Step-by-step explanation:
area of cirle =22/7×r^2
The answer
the full question is
If A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4) form two line segments, and AB ⊥ CD, which condition needs to be met to prove AB ⊥ <span>CD?
</span>
let be A(x1, y1)B(x2, y2) the first line, and C(x3, y3) D(x4, y4) the second
the slope of the first line is m = y2 -y1 / x2 - x1
the slope of the second line is m' = y4 -y3 / x4 - x3
so the condition needs to be met to prove AB ⊥ CD is
y2 -y1 y4 -y3
m x m' = --------- x ------------ = -1
x2 - x1 y4 -y3