13. k= -3
14. n= 1
15. p= 0
16. n= 0
9514 1404 393
Answer:
y -2 = 1/4(x +3)
Step-by-step explanation:
Process: find the negative reciprocal of the slope of the line shown and put the appropriate values into the point-slope equation.
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The slope of the given line can be found as the ratio of rise to run between the marked points.
m = rise/run = -8/2 = -4 . . . . counting grid squares
The desired line has a slope that is the opposite reciprocal of this:
m' = -1/m = -1/-4 = 1/4
The point-slope equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
Then the desired line with slope 1/4 through point (-3, 2) has equation ...
y -2 = 1/4(x +3)
Answer:
No. See below.
Step-by-step explanation:
![( {x}^{4} - 1)](https://tex.z-dn.net/?f=%28%20%7Bx%7D%5E%7B4%7D%20%20-%201%29)
Use the following formula (Difference of Two Squares)
![{x}^{2} - {y}^{2} = (x + y)(x - y)](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%20%20%7By%7D%5E%7B2%7D%20%20%3D%20%28x%20%2B%20y%29%28x%20%20-%20y%29)
![( {x}^{4} - 1) = ( {x}^{2} + 1)( {x}^{2} - 1)](https://tex.z-dn.net/?f=%28%20%7Bx%7D%5E%7B4%7D%20%20-%201%29%20%3D%20%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%201%29%28%20%7Bx%7D%5E%7B2%7D%20%20-%201%29)
We are not done yet. As we can still factor the expression which is x²-1 by using the same formula.
![( {x}^{2} + 1)(x + 1)(x - 1)](https://tex.z-dn.net/?f=%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%201%29%28x%20%2B%201%29%28x%20-%201%29)
This is the fully factored form.
D. The elevator takes 37.5 seconds to move down to the lobby.
8x+y=300
y= 300-8x
y= 300 - 8 (37.5)
y = 300-300
y = 0
wheb y =0 that means that the height is 0
First calculate the price of one pound of apples
24/5
= $4.80
Then multiply it by 6
6 x 4.80
Your price is $28.80