Answer:
1. y = -2x + 5
2. y = 3/5x + 5
3. y = -4/5x - 4
4. y = - 1
5. yes
6. yes
7. yes
8. no
Step-by-step explanation:
1. (4,-3) parallel to y= -2x
-3 = -2(4)+b
b=5
2. (-5,2) parallel to y = 3/5x
2= 3/5(-5)+b
b=5
3. (-5,0) -4/5x
0 = -4/5(-5)+b
b = -4
4. (-4,-1)
y= -1
5. yes
6. yes
7. yes
8. no
- Same slope = parallel ex. y = -5x +7, y = -5x +12
- opposite reciprocal = perpendicular ex. y = -5x +7, y = 1/5x + 12
- to find "b" with slope and point
(x,y) y = mx + b
plug in the y value and x value in the eqaution and m=slope, solve for b
Answer:
<em>n = 8 or n = −2</em> <em>is the correction solution.</em>
Step-by-step explanation:
As the absolute value equation is given:
| n−3 | = 5
We know either n − 3 = 5 or n − 3 = −5
n − 3 = 5 (First Possibility)
n − 3 + 3 = 5 + 3
n = 8
n − 3 = -5 (Second Possibility)
n = -5 + 3
n = -2
<em> So, n = 8 or n = −2</em> <em>is the correction solution.</em>
<em>Keywords: absolute value equation</em>
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1 Cubic foot (cu ft) is equal to 1728 cubic inches (cu in). To convert cubic feet to cubic inches, multiply the cubic feet value by 1728. For example, to calculate how many cubic inches is 10 cubic feet of water, multiply 10 by 1728, that makes 17280 cu in is 10 cu ft of water.
Answer:
x = 7.3
Step-by-step explanation:
area = base × height / 2
21.9 = 6 × x / 2
43.8 = 6x
x = 7.3