Answer:
1. y = 4x - 27
2. y = -4x - 15
Step-by-step explanation:
If two lines are parallel, then they have the same slope. So, the slope of the line we are looking for needs to be 4. We can start by writing a point-slope equation:
y - y1 = m(x - x1)
We can substitute the values we have, the point we are using is (8, 5) because it needs to be on the line:
y - 5 = 4(x - 8)
We can distribute:
y - 5 = 4x - 32
y = 4x - 27
We are not given the slope-intercept form, so we must divide both sides by two to get it:
y = 1/4 x + 8
A perpendicular line has the slope that is the negative reciprocal of the one that is given. So, the slope of the line would be - 4. We can start by writing a point-slope equation:
y - y1 = m(x - x1)
We can substitute the values we have, the point we are using is (-5, 5) because it needs to be on the line:
y - 5 = -4(x + 5)
We can distribute:
y - 5 = -4x - 20
y = -4x - 15
Answer: 7/6, 1 and 1/6, or 1.16
Step by step explanation:
2/3 + 1/2
4+3/6
7/6
Answer:
About 1 gallon. (32/30)
Step-by-step explanation:
First get a LCM (least common multiple) for 3, 5, and 2.
Now we have 30. Make 30 the denominator for all.
10/30
15/30
7/30
Then add them all up to get 32/30.
About 1 gallon.
Answer:
Surface area of cone is 
Step-by-step explanation:
Given:
radius of a cone (r) = 8 feet
slant height of cone (l) = 12 feet
We need to find the surface area of cone.
Total surface area of cone = Area of circle 
Area of curved surface
Now we know that,
Area of circle = 
Area of curved surface = 
Hence Total surface area of cone = 
Surface area of cone is .
Answer:
5x - 2 = 3x = 14
8x -2 = 14
8x = 14 + 2
8x = 16
x = 2
Step-by-step explanation:
