DC because DC and FG are on the same plane.
Answer:
=452.16 ft^3
Step-by-step explanation:
Volume of cylinder formula: V=πr^2(h)
Note: Diamater/2=radius
Plug-in: V=3.14(4)^2(9)
=452.16 ft^3
Option B: a counterclockwise rotation of 90° about the origin
Explanation:
From the graph, we can see the coordinates of the figure A are (0,2), (-1,6) and (-4,4)
The coordinates of the figure A' are (-2,0), (-6,-1) and (-4,-4)
<u>Option B: a counterclockwise rotation of 90° about the origin
</u>
The transformation rule for a coordinate to reflect a counterclockwise rotation of 90° about the origin is given by

Let us substitute the coordinates of the figure A
Thus, we have,



Thus, the resulting coordinates are equivalent to the coordinates of the figure A'.
Therefore, the figure is a counterclockwise rotation of 90° about the origin
.
Hence, Option B is the correct answer.
Answer:
popcorn=4$
soft drink=4.5$
Step-by-step explanation:
- if we used omitting method:
1-we multiply (p+s=8.5) by (-2) so we could get rid of (s) and be leftover with (p)
so: (-2p-2s= -17)
2- we subtract this equation from (p+2s=13) and the result will be (-p= -4)
3- divide them by (-1) and the result is (p=4)
4-(p+s=8.5) ,substitute (p) with (4) and make it go to the other side with negative sign and the result of (s) is (8.5-4=4.5)
- if we used substituting method:
1-(p+s=8.50), we will make (s) go to the other side with negative sign so the result is (p=8.50-s)
2-(p+2s=13.00), substitute (p) with (8.50-s):
(8.50-s+2s=13)
3- make (8.50) go to the other side with negative sign:
(s=13-8.50=4.5) and then you could get (p)
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of a line given two points first find the slope of the line and use the formula
y - y1 = m( x - x1) to find the Equation of the line using any of the points given
Slope of the line using points
(3,2) and (4,6) is

So the equation of the line using point
( 3 , 2 ) and slope 4 is
<h3>y - 2 = 4( x - 3)</h3>
Hope this helps you