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2 years ago

Determine the equation of the circle graphed below.

Mathematics

1 answer:

myrzilka [38]2 years ago

4 0

Answer:

$= > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0$

Step-by-step explanation:

From the graph we can see that

Diameter = 6 units

=> Radius = 3 units and centre is at (-3,7)

=> Equation is Circle with centre (-3,7) and radius of 3 units will be

$= > {(x + 3)}^{2} + {(y - 7)}^{2} = {3}^{2}$

$= > ( {x}^{2} + 6x + 9) + ( {y}^{2} - 14y + 49) = 9$

$= > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0$

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Anna has a 30-year, 5.75% mortgage on her $250,000 home. She has been

poizon [28]

Answer:

Her new monthly payment is now $1,378.91¢

Step-by-step explanation:

For us to calculate the new monthly mortgage payment that Anna will start paying from now on, we need to input the formula for calculating monthly mortgage payments.

The formula is:-

$M = P [\frac{r(1+r)^{n} }{(1+r)^{n}-1}]$

Where M is the monthly mortgage payment.

P is the principal

r is the monthly interest rate calculated by dividing your annual interest rate by 12

n is the number of payments(the number of months you will be paying the loan).

In this case, the new principal that Anna must pay back is $231,905.47¢. The annual interest rate has been reduced to 5.17% from 5.75% so the new monthly interest rate will be obtained by dividing the new annual interest rate by 12

= 5.17%/2

= 0.431%

This is the new monthly interest rate.

Since she has been paying her mortgage loan diligently for 5 complete years. It means she now has just 25 years to complete the payment. If 12 months make up one year, then there are - 12 × 25 = 300 more months to go.

300 is therefore "n" that is required for the calculation.

All the terms needed for the calculation of her new monthly mortgage is now complete.

P = $231,905.47¢

r = 0.431%

n = 300

$M = 231,905.47[\frac{0.00431(1+0.00431)^{300} }{(1+0.00431)^{300} -1}]$

$= 231,905.47[\frac{0.00431(3.634)}{2.634}]$

= 231,905.47 × 0.005946

M = $1,378.91¢

Therefore her new monthly mortgage payment will become $1,378.91¢

4 0

3 years ago

Read 2 more answers

What is the value of x in the triangle?

Ksivusya [100]

Answer:

X = 102

Step-by-step explanation:

41 + 37 + x = 180

78 + x = 180

X = 180 - 78 = 102

7 0

2 years ago

Write a subtraction expression using integers that equals -6.

pochemuha

Answer:

-9 minus -3

Step-by-step explanation:

-9 - (-3) = -9 + 3 = -6

Subtract and keep the sign of the bigger number.

8 0

3 years ago

A polygon has its vertices at the following points.

seropon [69]

Answer:

isosceles trapezoid

Step-by-step explanation:

1) find the distance of the points

$\sqrt{(x2-x1)^2 + (y2 -y1)^2}$

AB = $\sqrt{(4-2)^2 + (7-5)^2} = \sqrt{4 + 4} = \sqrt{8} = 2 \sqrt{2}$

BC = |7-4| = 3

CD = $\sqrt{(9-7)^2 + (5-7)^2}= \sqrt{4+4} = \sqrt{8} = 2 \sqrt{2}$

AD = |9-2| = 7

2) equation of the line that passes threw BC

y = 7

3) equation of the line that passes threw AD

y = 5

conclusion

the quadrilateral has two parallel sides and two congruent sides, so it is a isosceles trapezoid

3 0

2 years ago

can someone please send me a xbox live gift card plz :3 i cant play anymore because my dad dont let me buy it :( so can you

Olenka [21]

Answer:

This is a website to ask people for help with their school work. Not to beg others for things cause of your problems.

Step-by-step explanation:

We all know its just that you've spent all your money on Fortnite and you want more on there.

7 0

2 years ago