PLEASE HELPPPPP please

Mathematics

1 answer:

Sidana [21]3 years ago

6 0

Formula to find the slope with two points: m=y2-y1/x2-x1, from the two points you were given (-2,-3) and (1,1). So m=1-(-3)/1-(-2)=4/3

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Explain why an inverse variation function is not the best model for the data set

dmitriy555 [2]

Answer: The cause of exponential decay. Sowwy if im wrong

Step-by-step explanation:

An inverse variation function is not the best model because the data points show an exponential decay. The fact that this is true for ALL of the points shown indicates we have an inverse variation of the form x*y = k where k = 60 in this case. ... For any inverse variation, as x increases, y will decrease (and vice versa).

5 0

4 years ago

PLEASE HELP ME I WILL CHOOSE BRAINLIEST!!!!

kakasveta [241]

Answer:

Exact height = 8*sqrt(3) mm

Approximate height = 13.856 mm

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Explanation:

If you do a vertical cross section of the cylinder, then the 3D shape will flatten into a rectangle as shown in the diagram below.

After flattening the picture, I've added the points A through F

point A is the center of the sphere and cylinder
points B through E are the corner points where the cylinder touches the sphere
point F is at the same horizontal level as point A, and it's on the edge of the cylinder.

Those point labels will help solve the problem. We're told that the radius of the sphere is 8 mm. So that means segment AD = 8 mm.

Also, we know that FA = 4 mm because this is the radius of the cylinder.

Focus on triangle AFD. We need to find the height x (aka segment FD) of this triangle so we can then double it later to find the height of the cylinder. This in turn will determine the height of the bead.

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As the hint suggests, we'll use the pythagorean theorem

a^2 + b^2 = c^2

b = sqrt(c^2 - a^2)

x = sqrt(8^2 - 4^2)

x = sqrt(48)

x = sqrt(16*3)

x = sqrt(16)*sqrt(3)

x = 4*sqrt(3)

This is the distance from D to F

The distance from D to E is twice that value, so DE = 2*(FD) = 2*4*sqrt(3) = 8*sqrt(3) is the exact height of the bead (since it's the exact height of the cylinder).

Side note: 8*sqrt(3) = 13.856 approximately.