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andreyandreev [35.5K]
3 years ago
12

Find the distance and midpoint between (- 8, 1) and (4, 6)

Mathematics
1 answer:
Natali5045456 [20]3 years ago
5 0

Answer:

Distance: 13, Midpoint: (-2, 3.5)

Step-by-step explanation:

The distance formula is \sqrt{(x2-x1)^{2} +(y2-y1)^{2} }. We can plug in the numbers from your question so it would be √(4+8)^2+(6-1)^2 =  √144+25=169 =√169 = 13

The midpoint formula is ((x1+x2)/2, (y1+y2)/2), which is -8+4/2, 1+6/2 = (-2, 3.5).

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Jet001 [13]

You can calculate percentages by first finding what 10% of a value is and then what 5 or 1% is. From there you can multiply to find multiples and then add to get the required percentage. The example below shows this.

<span>What is 35% of $40?<span>Step 1<span>What is 10% of $40?10% of $40 = $40 ÷ 10 =<span> $4</span></span><span>10% is a relatively easy percentage and can be found by<span> dividing by 10</span>.</span></span><span>Step 2<span>3 x $4 = $1230% of $40 = $12</span>30% is 3 times ( 3 x) 10% so we multiply what 10% of $40 is by 3</span><span>Step 3<span>What is 5% of $40?5% of $40 = $4 ÷ 2 =<span> $2</span></span><span>5% is half of what 10% is so divide what 10% is by 2 .</span></span><span>Step 4<span>What is 35% of $40?$12 + $2 = $14</span><span>Add what</span></span></span>
3 0
4 years ago
Carrie has a planter box with an area of 4/5 of a square meter. She wants to plant 10 snap pea seeds each with an equal amount o
postnew [5]

Answer: She will give 8 square meter area to school snap pea plant.

Step-by-step explanation:

Given: Area required by each planter box = \dfrac45 square meter

Total number of snap pea seeds  = 10

The total area required =  (Area required by each planter box ) x (number of snap pea seeds)

=\dfrac45\times10\\\\=4\times2=8

Hence, she will give 8 square meter area to school snap pea plant.

4 0
3 years ago
Slope of a parallel line with the points (7,-5) and (-5,7)
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Answer: Negative 1  The slope of parallel lines is the same.

The attachment shows two such lines, given coordinates labeled.

Step-by-step explanation:

Find the slope of the line passing through the given points.

 rise/run  

Rise is the difference in y-values  7-(-5)  = 12

Run is the difference between x-values  -5 - 7  = - 12

The Slope is 12/-12   simplify:

slope = -1

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3 years ago
How many quadrilaterals can I construct with four right angles
Andreas93 [3]

Answer:2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Given that the population proportion is 0.82, the Normal distribution will provide a good approximation to the true sampling dis
Drupady [299]

Answer:

Then solution as long as n ≥ 56

Step-by-step explanation:

The Normal distribution will provide a good approximation to evaluate proportion tests when the following conditions are met:

n*p₀ > 10

n*q₀ > 10

As  p₀ = 0,82      q₀ = 0,18       n  = 13      30     56    and  100

We test:

A) n = 13        n*q₀  =  13*0,18 = 2,34       2,34 < 10  

B) n = 30       n*q₀  =  30*0,18 = 5,4         5,4 < 10

C) n = 56       n*q₀  =  56 * 0,18 = 10,08

                      n*p₀  = 56 * 0,82 = 45,92

D) n = 100      n*q₀  = 18

                      n*p₀  = 82

If we test 55  we find that  55*0,18  =  9,9

Then solution as long as n ≥ 56

5 0
3 years ago
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