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2 years ago

The point A(−4,5) is reflected over the point (2,3) and its image is point B. What are the coordinates of point B?

Mathematics

1 answer:

Allisa [31]2 years ago

3 0

Answer: (8,1)

Step-by-step explanation:

The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b

b = 3 2/3

The equation for the line is y = -(1/3)x + 3 2/3

The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1

The point is (8,1)

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Vanessa bought a house for $268,500. She has a 30 year mortgage with a fixed rate of 6.25%. Vanessa’s monthly payments are $1,59

Genrish500 [490]

Answer:

Option a - $9,314.45

Step-by-step explanation:

Cost of the house = $268,500

Time of repayment = 30 years

Repayment is done monthly, so number of repayments = 30 X 12 = 360

Monthly Payment = $1595.85

Rate of interest per payment period = $\frac{.0625}{12}$

So, Present value of monthly payments = 1595.85 X $\frac{(1+\frac{.0625}{12})^{360}-1}{(1+\frac{.0625}{12})^{360}*(\frac{.0625}{12})}$

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8 0

3 years ago

Someone please help. i will mark as brainliest if right :)

DIA [1.3K]

Answer:

The other factor is 5x-2

Step-by-step explanation:

Using the factorisation method:

Two numbers that multiply to give -10 and add to give +3:

+5 and -2

$5x^{2} +5x-2x-2$

$5x(x+1) -2(x+1)$

$(x+1)(5x-2)$

So the other factor is 5x-2

I'm not sure about the second part of the question but I hope you understood how to deal with the first part.

5 0

2 years ago

Hi My question is what is 12% of 21

vfiekz [6]

Answer:

2.52

Step-by-step explanation:

21*.12=

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3 years ago

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3 years ago

At another theater, workers have to cut a new trap door. The door can be no more than 137 square feet in area, with whole-number

otez555 [7]

Answer:

Step-by-step explanation:

Given:

trap door = 130 square feet.

1st item: 6ft 5in wide & 8ft 9in long

⇒ (6ft * 12 in) + 5 in & (8ft *12 in) + 9 in

⇒ 77inches by 105 inches

⇒ 8,085 square inches

2nd item: 13ft 4in wide & 7ft 8in long

⇒ (13ft * 12in)+ 4 in & (7ft *12in) + 8 in

⇒ 160 inches by 92 inches

⇒ 14,720 square inches

3rd item: 5ft 6in wide & 12ft 4in long

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2 years ago