To form a linear pair means that when added, they equal 180 degrees.
but if they have equal measures....180/2 = 90...then they would both equal 90 degrees.....and 90 degrees is a right angle.
So ABC and CBD are both right angles
Answer:
The antiderivative is
.
Step-by-step explanation:
Antiderivative F(x)
This is the integral of 
So
F′(x) = f(x) = 6 + 24x^3 + 18x^5
Then:



F(1)=0
when
. We use this to find K.



Thus
The antiderivative is
.
Answer:
33000
Step-by-step explanation:
Substituting 250 for x and -120 for y, we get:
(250)^2 + 2(250) - (250)(120) = 62500 + 500 - 30000, or
32500 + 500, or 33000
To find the price of the stock after 12 weeks, you would have to plug in 12 to x
That would make your equation: y = -0.91(12) + 103.47
Then, you solve:
-0.91(12) would be -10.12
Your equation will now look like this:
y = - 10.12 + 103.47
Then you add -10.12 to 103.47
-10.12 + 103.47 = 92.55
y = 92.55
After 12 weeks, the price of the stocks would be $92.55
Answer:
D. y = -1/5x +32/5
Step-by-step explanation:
The equation of the line passing through point (h, k) with slope m can be written ...
y = m(x -h) +k
Filling in your given values, the equation is ...
y = -1/5(x -(-3)) +7
y = -1/5x -3/5 +7 . . . . eliminate parentheses
y = -1/5x +32/5 . . . . . combine constants