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lisabon 2012 [21]
3 years ago
12

Find the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1)

Mathematics
1 answer:
Flauer [41]3 years ago
4 0

Answer:

The coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are \mathbf{(13,\frac{-9}{2})}

Step-by-step explanation:

We need to find the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1)

The midpoint of line segment can be found using formula:

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

We have x_1=14, y_1=-8, x_2=12, y_2=-1

Putting values and finding midpoint

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\Midpoint=(\frac{14+12}{2},\frac{-8-1}{2})\\Midpoint=(\frac{26}{2},\frac{-9}{2})\\Midpoint=(13,\frac{-9}{2})

So, the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are \mathbf{(13,\frac{-9}{2})}

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Answer:

b

Step-by-step explanation:

second option 400/3

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3 years ago
Solve the equation by using the quadratic formula.<br> 8x2 – 2x - 15 =0
ddd [48]

Answer:

x = 3/2 or x = -5/4

Step-by-step explanation:

Solve for x over the real numbers:

8 x^2 - 2 x - 15 = 0

Using the quadratic formula, solve for x.

x = (2 ± sqrt((-2)^2 - 4×8 (-15)))/(2×8) = (2 ± sqrt(4 + 480))/16 = (2 ± sqrt(484))/16:

x = (2 + sqrt(484))/16 or x = (2 - sqrt(484))/16

Simplify radicals.

sqrt(484) = sqrt(4×121) = sqrt(2^2×11^2) = 2×11 = 22:

x = (2 + 22)/16 or x = (2 - 22)/16

Evaluate (2 + 22)/16.

(2 + 22)/16 = 24/16 = 3/2:

x = 3/2 or x = (2 - 22)/16

Evaluate (2 - 22)/16.

(2 - 22)/16 = -20/16 = -5/4:

Answer: x = 3/2 or x = -5/4

4 0
2 years ago
You are applying for an 80/20 mortgage to buy a house costing $145,000. The first (80%) mortgage has an interest rate of 4.75%,
babymother [125]

Answer:

$291,016.80

A is correct.

Step-by-step explanation:

You are applying for an 80/20 mortgage to buy a house costing $145,000.

Loan Formula:

EMI=\dfrac{P\cdot r}{1-(1+r)^{-n}}

Case 1:

Loan amount, P = 80% of 145000 = $ 116,000

Rate of interest, r = 4.75% = 0.0475

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

EMI=\dfrac{116000\cdot \frac{0.0475}{12}}{1-(1+\frac{0.0475}{12})^{-360}}

EMI=605.11

Total payment for case 1: 605.11 x 360 = $217,839.60

Case 2:

Loan amount, P = 20% of 145000 = $ 29,000

Rate of interest, r = 4.75% = 0.07525

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

EMI=\dfrac{29000\cdot \frac{0.07525}{12}}{1-(1+\frac{0.07525}{12})^{-360}}

EMI=203.27

Total payment for case 1: 203.27 x 360 = $73,177.20

Total amount of the mortgage = $217,839.60 + $73,177.20

                                                    = $291,016.80

Hence, The total amount of the mortgage is $291,016.80

3 0
3 years ago
A circle has a diameter of 24 units. Find the circumference and area of the circle in terms of π.
enyata [817]
Circumference=24 pi
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7 0
3 years ago
Read 2 more answers
Help!!!
choli [55]

Answer:

Step-by-step explanation:

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If x = 0:

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If x = 3:

y > 2 × 1 - 5

y > 1

The coordenates (3, 1) and (0, -5) are not included.

Alternative A

I hope I helped you.

5 0
3 years ago
Read 2 more answers
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