Answer:
8:27
Step-by-step explanation:
1 way to do it is...
The volume of a sphere is 4/3*pi*r^3. Plugging in 2 and 3 in for the radii you get the volumes are about 33.51 and 113.1, which is an 8:27 ratio.
Another way to do it is...
The ratio of the radii is 2:3 and a radius is 1-dimensional. The volume, however is 3-dimensional. To get from 1-D to 3-D, you have to cube the numbers. 2^3 is 8 and 3^3 is 27, so the ration is 8:27.
Answer:
4y + 1 = 4 - 5y
First option
Step-by-step explanation:
x - 4y - 1 =0; add both sides by + 4y + 1
x - 4y - 1 + 4y + 1 = 0 + 4y + 1
Simplifying
x = 4y + 1
x + 5y - 4 = 0; Add (-5y + 4) to both sides
x + 5y - 4 -5y + 4 = 0 -5y + 4
Simplying
x = -5y +4
x = 4 - 5y
Now you have both equations
x = 4y + 1
x= 4 - 5y
Now you can use the comparison method
4y + 1 = 4 - 5y
Answer:
a) 32, 52
b) 18n
Step-by-step explanation:
a)
12+20=32
20+32=52
b)
4th element = 3n+4n=7n
5th element = 4n+7n=11n
6th element = 7n+11n=18n
Answer:
y= -1.5x-7 is the equation of the perpendicular line
Here's why:
when we convert 2x-3y=8 to standard form, we get y= 2/3x-8/3. This means the perpendicular line will have a slope of the negative reciprocal of the original one, so the perpendicular slope is -1.5. When we substitute the points (-2,-4) into the equation y=-1.5x+b, we get a b value of -7. So the perpendicular line equation is y= -1.5x-7. You can't the parallel line equation with the points (-2,-4) as it is part of the line 2x-3y=8.
Answer:
Vertical stretch by factor 3 reflections through the x-axis then a vertical shift up 1 unit .
Step-by-step explanation: