1. y - y1 = m(x - x1)
slope(m) = -1/3
(3,6)...x1 = 3 and y1 = 6
now we sub
y - 6 = -1/3(x - 3) <==
2. y - 9 = -(x + 2)
y - 9 = -x - 2
y = -x - 2 + 9
y = -x + 7 <===
3. y - y1 = m(x - x1)
slope(m) = 0....horizontal lines have 0 slopes
(-4,-1)...x1 = -4 and y1 = -1
now we sub
y - (-1) = 0(x - (-4)
y + 1 = 0(x + 4) <===
4. x + 3y = 6
3y = -x + 6
y = -1/3x + 2.....slope here is -1/3. A parallel line will have the same slope
y = mx + b
slope(m) = -1/3
(5,3)...x = 5 and y = 3
now we sub and find b, the y int
3 = -1/3(5) + b
3 = -5/3 + b
3 + 5/3 = b
9/3 + 5/3 = b
14/3 = b
ur equation is : y = -1/3x + 14/3
5. Perpendicular lines have negative reciprocal slopes. For example : the slope of one line will be 3 and the slope of the other line would be -1/3.
(-1,-4) / (3,3)
slope = (3 - (-4) / (3 - (-1) = (3 + 4) / (3 + 1) = 7/4
that means our other line has to have slope of -4/7, the negative reciprocal
(-3,3)(4,-1)
slope = (-1 - 3) / (4 - (-3) = -4/7
so ur answer is (4,-1)
Answer:
Step-by-step explanation:
slope = m = (10-7)/4+3) = 3/7
y=3x/7+b
plug in either point to solve for b=y intercept
10=(3/7)/4+b =12/7+b
b =10-12/7 = 58/7
y=3x/7 + 58/7 or
eliminate the fractions
multiply by 7 to get
7y=3x + 58
I’m selfish, impatient and a little insecure. I make mistakes, I am out of control and at times hard to handle. But if you can’t handle me at my worst, then you sure as hell don’t deserve me at my best. ― Marilyn Monroe
Answer:
![-16x^3+9x^2](https://tex.z-dn.net/?f=-16x%5E3%2B9x%5E2)
Step-by-step explanation:
![-4x^3-12x^3+9x^2](https://tex.z-dn.net/?f=-4x%5E3-12x%5E3%2B9x%5E2)
![(-4-12)x^3+9x^2](https://tex.z-dn.net/?f=%28-4-12%29x%5E3%2B9x%5E2)
![-16x^3+9x^2](https://tex.z-dn.net/?f=-16x%5E3%2B9x%5E2)
Find how many times 2/3 can go into 12.
In other words, divide 12 by 2/3.
12/(2/3)
Note that dividing is equal to multiplying by the reciprocal. So...
12/(2/3) = 12 * 3/2 = 18
The carton holds 18 servings (sheesh, way too much salad :) ).