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liubo4ka [24]
2 years ago
11

What is the gradient of the blue line

Mathematics
1 answer:
Setler79 [48]2 years ago
7 0

Answer:

-5

Step-by-step explanation:

\mathsf{gradient=\dfrac{change\ in\ y}{change \ in \ x}}

Pick 2 points on the line:

(-2, 5) and (-1, 0)

\implies \mathsf{gradient=\dfrac{5-0}{-2--1}=-5}

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A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis. What is the volume of the figure?
Luden [163]

Given:

A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.

To find:

The volume of the figure.

Solution:

Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.

Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.

If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.

Volume of a cone is

V=\dfrac{1}{3}\pi r^2h

where, r is radius of the base and h is vertical height of the cone.

Putting r=6 and h=9, we get

V=\dfrac{1}{3}\pi (6)^2(9)

V=\pi (36)(3)

V=108\pi

Therefore, the volume of the figure is 108\pi sq. units.

7 0
3 years ago
Can’t figure this out help please
Juliette [100K]

Answer:

the slope which is given is to plot the points on a graph.

4 0
3 years ago
How many solutions does 6x+ m15=6(x-3)
Andre45 [30]

Answer:

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
CAN SOMEONE PLEASE HELP ME WITH THIS ONE? THANK YOU!
hammer [34]
Wait is the middle school.
8 0
2 years ago
Solve the given one-step equations. Show your work.
laila [671]
Isolate for each variable.
1. z= 6 - 10
z= -4

2. y= 48/8
y=6

3. q= 1+12
q= 13
4. 18 x 2= a
36= a
5. r= 7 x 3
r= 21

I think you can try the rest :)
7 0
2 years ago
Read 2 more answers
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