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strojnjashka [21]
3 years ago
12

Find the midpoint of the line segment connecting the two points (5,-3) (-4,7)

Mathematics
1 answer:
barxatty [35]3 years ago
8 0

Answer:

The answer is

<h2>( \frac{1}{2}  \: , \: 2)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

<h3>M  = ( \frac{x1 + x2}{2} ,  \:  \frac{y1 + y2}{2} )</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(5,-3) and (-4,7)

The midpoint is

<h3>M  = ( \frac{5 - 4}{2} , \:  \frac{ - 3 + 7}{2} ) \\  = ( \frac{1}{2}  \: , \:  \frac{4}{2} )</h3>

We have the final answer as

<h3>( \frac{1}{2}  \: , \: 2)</h3>

Hope this helps you

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Answer:

8 hours

Step-by-step explanation:

Let x = the hours she work

Equation-

1.  20x + 12 = 172

2.         - 12   - 12

     20x = 160

3.   /20    /20

4.  x= 8 hours

1. Write out the equation

2. subtract 12 from both sides

3. Divide 20 on both sides

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3 years ago
A gas station has a cylindrical fueling tank that holds the gasoline for its pumps, as modeled below. The tank holds a maximum o
IRINA_888 [86]

Answer:

\boxed{ \text{10.9 ft}}

Step-by-step explanation:

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V = πr²h

Data:

V = 20 000 gal

h = 34.5 ft

Calculations:

I assume the gasoline tank is lying on its side, so we are asked to find the diameter of the tank.

(a) Convert the volume to cubic feet

V= 20 000 gal × (1 ft³/7.48 gal) = 2674 ft³

(b) Calculate the radius of the tank

V = πr²h

r² = V/(πh) = 2674/(π × 34.5) = 24.67 ft²

r = √24.67 = 4.967 ft

(c) Calculate the diameter of the tank

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(d) Calculate the length of the measuring pole

l = d + 1 = 9.934 + 1 = \boxed{ \textbf{10.9 ft}}

8 0
3 years ago
A florist bought 268 roses, 74 tulips and some lilies. She bought a total of 390 flowers. The florist will buy five times as man
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Lilies :
390 - 268 - 74 = 48

48 \times 5 = 240


Total number of lilies the florist will buy next week = 240

Hope this helps. - M
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Sliva [168]

Answer:

46

Step-by-step explanation:

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0.5*92=46

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Answer:

.125

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4 is one-eighth (1/8) of 32, which would be represented by the decimal .125 or 0.125

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3 years ago
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