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cluponka [151]
3 years ago
8

Find the midpoint of the line segment joining the points (10,14) and (-7,7).

Mathematics
1 answer:
LekaFEV [45]3 years ago
3 0

Answer:

(1.5, 10.5)

Step-by-step explanation:

midpoint =  \bigg( \frac{10 + ( - 7)}{2},  \:  \:  \frac{14 + 7}{2}  \bigg) \\  \\  = \bigg( \frac{3}{2}, \:  \:  \frac{21}{2}  \bigg) \\  \\  = = ( 1.5,  \:  \:  10.5 )

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xz_007 [3.2K]

Answer:

Center =  \boxed{1}, \: \boxed{ - 2} \: ; \: Radius =  \boxed{3}

Step-by-step explanation:

{x}^{2}  +  {y}^{2}  - 2x + 4y - 4 = 0 \\  \\  ({x}^{2}  - 2x + 1 - 1) + ( {y}^{2}  + 4y + 4 - 4) - 4 = 0 \\  \\ ( {x}^{2}  - 2x + 1) + ( {y}^{2}  + 4y + 4) - 9 = 0 \\  \\  {(x - 1)}^{2}  +  {(y + 2)}^{2}  = 9 \\  \\ {(x - 1)}^{2}  +  {(y + 2)}^{2}  =  {3}^{2}  \\  \\ equating \: it \: with \\  \\  {(x - h)}^{2}  +  {(y - k)}^{2}  =  {r}^{2}  \\  \\ h = 1 \\ k =  - 2 \\ r = 3 \\  \\ center =  \boxed{1} \: \boxed{ - 2} \:  \: radius =  \boxed{3}

3 0
3 years ago
Justin did push-ups for the past 555 days.The following data points are the number of push-ups he did each day.
Vitek1552 [10]

Answer: σ: 2.76

Step-by-step explanation:

Count, N: 5

Sum, Σx: 125

Mean, μ: 25

Variance, σ2:  7.6

Steps

look at attached pic for formula

σ^2 = \frac{Σ(xi - μ)^{2} }{N}

\frac{(21 - 25)2 + ... + (29 - 25)2}{5}

⇒ \frac{38}{5}

⇒ 7.6

σ =  \sqrt{7.6}

⇒   2.756809750418

⇒ or 2.76

3 0
2 years ago
Billy Idell is trying to determine how many units of two types of lawn mowers to produce each day. One of these is the Standard
ch4aika [34]

Answer:

34

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6 0
3 years ago
Mai biked 6\frac{3}{4} miles today, and Noah biked 4\frac{1}{2} miles.
Alinara [238K]

It was 1.5 times the length of Noah's bike ride as Mai’s bike ride.

The problem we dealing with is related to mixed numbers which are referred to as mixed numbers and could be the whole number, and a proper division spoke together. It for the most part speaks to a number between any two whole numbers.

Since we are providing mai's rate which is  6 3/4  miles and Noah's  rate of 4 1/2 miles, So in  order to find the time the length of Noah's ride is compared to Mal's, we just need to divide the given rates by each other

=> 6 3/4 divided by 4 1/2,  

=> 27/4 divided by 9/2, (The result is an improper fractions)

=> 27/4 X 2/9

=>3/2

=> 1.5

To know more about mixed numbers refer to the link  brainly.com/question/24137171?referrer=searchResults.

#SPJ1

3 0
10 months ago
Identify the values of the variables. Give your answers in simplest radical form. HELP PLEASE!!!
galben [10]

Answer:

x = 3\sqrt{2}

y = 6\sqrt{2}

Step-by-step explanation:

The triangle is a 30-60-90 right triangle.

The ratio of the lengths of the sides is:

1 : \sqrt{3} : 2

The order of the sides in the ratio above is

short leg : long leg : hypotenuse

The long leg is sqrt(3) times the length of the short leg.

x \times \sqrt{3} = 3\sqrt{6}

x = \dfrac{3\sqrt{6}}{\sqrt{3}}

x = 3 \times \sqrt{\dfrac{6}{3}}

x = 3\sqrt{2}

The hypotenuse is twice the length of the short leg.

y = 2 \times 3\sqrt{2}

y = 6\sqrt{2}

6 0
3 years ago
Read 2 more answers
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