First find the volume of the cylinder.
The formula is: V=πr²h
Plug the numbers in the figure into the formula.
V=πr²h
V=π×3²×10
V=π×9×10
V=π90
V=282.743
Therefore, the volume of the cylinder is approximately 282.7in³
Find the volume of the rectangluar prism.
V=lwh
V=12×7×4
V=84×4
V=336
Therefore, the volume of the rectangular prism is 336in³
Add the volumes:
282.7+336=618.7
The volume of the composite solid is approximately 618.7in^3
Answer: y= -x + 7
Solution:
Step 1 : find the slope using the equation using the pair of coordinates that are given i.e A (−7,14) B (−21,28) ( name them A and B respectively so they can be easily named as x1, y1 and x2,y2 respectively)
m = y2-y1/x2-x1
m = 28-14 / -21 -( -7)
m = 14 / -14
m = -1
Step 2 : Find the y intercept using the line of equation (use and one of the given coordinates either A or B)
Using A ( -7, 14)
y= mx+ b
14 = (-1)(-7) + b
14= 7 + b
14-7 = b
7 =b
So,
y=mx+b
Insert m and b
y= -x + 7
Answer:
6
Step-by-step explanation:
From the calculations above, we learn that line l and the curve intersect at (2, -6) and (1, -12). Next, we will set up a system of linear equations to solve for the slope and the y-intercept of line l.
Therefore, the slope of line l is 6.
The side with all the 9s and x is 12 just like its opposite side because this is a parallelogram. We can write the equation to add up the three segments; the ones on the left and right are 9-x:
9-x + x + 9-x = 12
18 - x = 12
x = 6
