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Juliette [100K]
3 years ago
12

Find the midpoint of the line segment with the given endpoints.2) (1,5) (-4-5)​

Mathematics
1 answer:
allochka39001 [22]3 years ago
5 0

The mid-point of  (1,5) and (-4,-5) is (-\frac{3}{2}, 0)

Step-by-step explanation:

The mid-point is calculated using the coordinates of the given points

The formula for mid-point M is given by:

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

Given

(x1,y1) = (1,5)

(x2,y2) = (-4,-5)

So\\M(x,y) = (\frac{1-4}{2}, \frac{5-5}{2})\\=(\frac{-3}{2} , \frac{0}{2}\\=(-\frac{3}{2}, 0)

Hence,

The mid-point of  (1,5) and (-4,-5) is (-\frac{3}{2}, 0)

Keywords: Mid-point, coordinate geometry

Learn more about coordinate geometry at:

  • brainly.com/question/12685482
  • brainly.com/question/12639288

#LearnwithBrainly

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Answer:

800,000

Step-by-step explanation:

If the number was above 850,000 it would round up. If the number was 849,999 or below it would round down. In other words, you look at the number to the right of the hundred thousands place, or the number in the tens of thousands place, and if it is 5 or above you round up. 4 and below you round down.

4 0
2 years ago
Anisha invested $8,000 in an account that earns 10% interest How much money will she have in 15 years of the interest is compoun
tamaranim1 [39]

Answer:

A = $35,198.32

Step-by-step explanation:

<em>Use the formula to calculate compound interest</em>:

A = P(1 + i)ⁿ

"A" for total amount after the time period

"P" for principal, or starting money

"i" for the interest rate in a compounding period

To calculate "i":

i = r / c

"n" for the number of compounding periods

To calculate "n":

n = tc

So, we can <u>combine the formulas</u> into:

A = P(1+\frac{r}{c})^{tc}

"c" is the compounding periods in a year. (quarterly = 4)

<u>We know</u>:

P = 8000

r = 10% / 100 = 0.1

t = 15

c = 4

<u>Substitute the information in the formula</u>.

A = P(1+\frac{r}{c})^{tc}

A = 8000(1+\frac{0.1}{4})^{15*4}      Solve "i" and "n"

A = 8000(1+0.025)^{60}        Solve inside the brackets

A = 8000(1.025)^{60}         Do the exponent before multiplying by 8000

A = 35198.318             Exact answer

A ≈ 35198.32              Round to two decimal places for money

Therefore she will have $35,198.32 after 15 years.

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Step-by-step explanation:

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quester [9]

Answer:

S = 15 possible outcomes

Step-by-step explanation:

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In this case we have two spinners. The first has 5 colors, by spinning the spinner you can get up to 5 different results. Therefore the sample space is S_1 = 5

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Then, if the two spinners are rotated, the sample space would be:

S = 5*3

S = 15 possible outcomes.

The tree diagram shown in the attached image shows the 15 possible results

{R, 1} {R, 2} {R, 3} {O, 1} {O, 2} {O, 3} {Y, 1} {Y, 2} {Y, 3} {P, 1} {P, 2} {P, 3} {G, 1}

{G, 2} {G, 3}

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I think it’s B but I’m not for sure
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