Answer:
slope intercept form: y = mx + b
6x - 4y = 24
4y = 6x - 24
y = 3/2x - 6
slope: <u>3/2</u>
y intercept: <u>- 6</u>
Answer: the radius is 2.61 cm
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
Volume = 156 cm³
Height = 7.3 cm
Therefore,
156 = 3.14 × r² × 7.3
156 = 22.922r²
r² = 156/22.922 = 6.81
Taking square root of both sides of the equation, it becomes
r = 2.61 cm
Answer:
33.9 million miles.
Step-by-step explanation:
we have the function

For x=2
substitute

therefore
<h2>the answer is 4.20 million dollars</h2>
Answer:
y = -2x -3
Step-by-step explanation:
- the altitude trough F is a perpendicular line to the line DE
- find slope of line DE
D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)
slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2
-find equation of the altitude trough F
lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)
y= -2x +b , for point F(1, -5)
-5 = -2*1 +b, add 2 to both sides
-5 +2 = b, combine like terms
-3 =b
equation of the altitude trough F is y = -2x -3