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SashulF [63]
4 years ago
10

Find distance and midpoint between two points,

Mathematics
1 answer:
IrinaVladis [17]4 years ago
8 0

Answer:

P(Px, Py) and Q(Qx, Qy)

Midpoint

M((Px + Qx)/2, (Py + Qy)/2)

Distance

d = √((Px - Qx)^2 + (Py - Qy)^2)

For example

(A)

Midpoint

M((-5 + 3)/2, (2 + (-4))/2) = M(-1, -1)

Distance

d = √((-5 - 3)^2 + (2 - (-4))^2) = √(64 + 36) = 10


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The volume of the pyramid is 13 units³.

<h3>What is the volume of the pyramid?</h3>

A pyramid is a 3-dimensional shape that is made up of a rectangular base and 4 triangular faces. The volume of a pyramid is one-third that of a prism.

Volume of a pyramid = 1/3 x prism

1/3 x 39 = 13

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Solve for x:<br> 1 1/5x−2 1/3&lt;1/7x+1 1/2
Mashcka [7]

Answer: x

Step-by-step explanation:

1\frac{1}{5}x-2\frac{1}{3}

Add 2\frac{1}{3} on both sides and subtract \frac{1}{7}x on both sides to leave x's on the left side and independent values on the right.

(2\frac{1}{3}-\frac{1}{7}x) +1\frac{1}{5}x-2\frac{1}{3}

1\frac{1}{5}x-\frac{1}{7}x

Solve the fractions.

1(\frac{1}{5}-\frac{1}{7})x

1(\frac{(1)(7)-(5)(1)}{(5)(7)} )x

1(\frac{7-5}{35} )x

1(\frac{2}{35} )x

1\frac{2}{35}x

Convert the mixed fraction 1\frac{2}{35} to an improper fraction. You can do this by multiplying 1 times 35 and adding 2.

\frac{37}{35}x

Now use the reciprocal (inverse fraction) and multiply on both sides to isolate x.

(\frac{35}{37}) (\frac{37}{35})x

x

x

x

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