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AlekseyPX
3 years ago
9

What is the midpoint of segment AB if A = (-2,2) and B = (4.-6)?

Mathematics
1 answer:
liraira [26]3 years ago
7 0

Answer:

M=(1,-2)

Step-by-step explanation:

Start with the midpoint formula:

M=(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )

Identify your values:

x_1=-2\\x_2=4\\y_1=2\\y_2=-6

Substitute:

M=(\frac{-2+4}{2} , \frac{2+(-6)}{2} )

Combine terms:

M=(\frac{2}{2},\frac{-4}{2} )

Simplify:

M=(1,-2)

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3 years ago
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A 34-foot pole casts a 30-foot shadow. At the same time, a nearby tree casts a 24-foot shadow. How tall is the tree?
artcher [175]

Answer:

27.2 ft

Step-by-step explanation:

Let's set up a ratio that represents the problem:

Object's Height (ft) : Shadow (ft)

Substitute with the dimensions of the 34 foot pole and its 30 foot shadow.

34 : 30

Find the unit rate:

The unit rate is when one number in a ratio is 1.

Let's make the Shadow equal to one by dividing by 30 on both sides.

Object's Height (ft) : Shadow (ft)

34 : 30

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1.13 : 1

Now, let's multiply by 24 on both sides to find the height of the tree.

Multiply:

Object's Height (ft) : Shadow (ft)

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Therefore, the tree is 27.2 feet tall.

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3 years ago
When plotted on a grid, the paths between four neighborhood houses form the shape of a kite as shown.
KatRina [158]

Answer:

The area of the figure is 1,000 square feet

Step-by-step explanation:

we know that

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substitute

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3 years ago
What is the angle of rotation of the figure above? Assume that the center of rotation is the origin.
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