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stira [4]
3 years ago
12

What is the slope of the line that passes through the points (9,-5) and (8,4)?

Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0

It is -9. Rise over run. 9 up, 1 to the left, 9/1 = 9. Because the line goes down to the right, it is negative.

Please put me as the brainiest.

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How does the volume of a sphere compare to that of a cylinder with a height and radius equal to the radius of the sphere?
disa [49]

1) The height of the cylinder is equal to the diameter of the sphere.

3) The radius of the sphere is half the height of the cylinder.

5) The volume of the sphere is two-thirds the volume of the cylinder.

Hope this helped! :)

8 0
3 years ago
What are the coordinates of the orthocenter of △JKL with vertices at J(−4, −1) , K(−4, 8) , and L(2, 8) ?
kompoz [17]

Answer:

K(-4,8) is the ortho center.

Step-by-step explanation:

In a right angled triangle, The vertex of the right angle is the ortho center.

Here we are given

J(-4,-1), K(-4,8) & L(2,8)

Using distance formula we get

JK^{2}= (-4+4)^{2}+ (8+1)^{2}=0+81=81

KL^{2}= (-4-2)^{2}+ (8+-8)^{2}=36+0=36

JL^{2}= (-4-2)^{2}+ (8+1)^{2}=36+81=117

So we can say that

JK^2 + KL^2=JL^2

By converse of pythagorean theorem we get

Hence the Vertex of the right angle is K(-4,8)

K(-4,8) is the ortho center.

7 0
3 years ago
cording to the school uniform policy, girls can wear khaki pants, shorts, or skirts. Also, shirts need to be either blue or whit
RSB [31]
Blue shirt + skirt
blue shirt +khaki pants
blue shirt + shorts
white shirt +skirt
white shirt +khaki pants
white short + shorts

6
8 0
3 years ago
How do you do this trig problem.
loris [4]

Consider a right triangle in which one of the angles \theta satisfies

\sin\theta=\dfrac35\implies\theta=\sin^{-1}\dfrac35

That is, the side opposite \theta occurs in a ratio of 3 to 5 with the hypotenuse. The side adjacent to \theta then occurs in a ratio of 4 to 5 with the hypotenuse. In other words,

\cos\theta=\dfrac45

because

\sin^2\theta+\cos^2\theta=\dfrac9{25}+\dfrac{16}{25}=1

Then in this triangle,

\cot\theta=\cot\left(\sin^{-1}\dfrac35\right)=\dfrac{\cos\theta}{\sin\theta}=\dfrac{\frac45}{\frac35}=\dfrac43

7 0
3 years ago
what is the average speed of a train that covers 80 km in 1 hour, 200 km in 2 hours and 420 kn in 4 hours
omeli [17]

Answer:

95

Step-by-step explanation:

80+(200 divided by 2)+(420 divided by 4)=285

285 divided by 3=95

6 0
3 years ago
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