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Anit [1.1K]
3 years ago
13

The circle below is centered at the point (4,-3) and has a radius of length 3 what is it’s equation?

Mathematics
2 answers:
labwork [276]3 years ago
7 0
Hi there!

The standard form of the equation of a circle is:
(x - a) {}^{2} + (y - b) {}^{2} = r {}^{2}

With (a, b) representing the centre and r representing the radius of the circle.
Since the centre of the circle is (4, -3) and the radius is 3, we get the following equation:

(x - 4) {}^{2} + (y + 3) {}^{2} = 9
ivolga24 [154]3 years ago
3 0

Answer:

The correct answer is

(X+3)2 + (y-4)2 = 9

Step-by-step explanation:

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In a survey, a group of students are asked their favorite sport. 18 students chose "other"
Ne4ueva [31]
So assuming that each student chose only one sport or 'other', add the percents and subtract from 100
37.5+40=77.5
100-77.5=22.5
22.5%=other
18 students=22.5%
divide both sides by 22.5
0.8=1%
therfor
100%=80
80 students participated

futbol=37.5% of 80=0.375 times 80=30
30 picked football


8 0
3 years ago
Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was p
Gemiola [76]

Answer:

The value of the bond when Tyler's mom purchased it was $150

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

f(x)=a(b)^{x}

where

a is the initial value (y-intercept)

b is the base

r is the rate

b=(1+r)

In this problem

r=4%=4/100=0.04

b=1+0.04=1.04

substitute

f(x)=a(1.04)^{x}

where

x is the number of years since the savings bond was purchased

f(x) is the value of the savings bond

For x=1

f(x)=$156

substitute

156=a(1.04)^{1}

Solve for a

156=a(1.04)

a=\$150

therefore

The value of the bond when Tyler's mom purchased it was $150

8 0
4 years ago
HELP
Yakvenalex [24]

Answer:

5. 50.3 m²

6. 113.1 cm²

7. 102.1 yards²

8.  50.3 yards²

9.  452.2 ft²

10.379.8 ft²

Step-by-step explanation:

Area of  a circle = nr²

The circumference of a circle = 2nr

n = pi = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = diameter / 2

5. (22/7) x 4² = 50.3 m²

6.  (22/7) x 6² =113.1 cm²

7. radius = 11.4/2 = 5.7 yards

(22/7) x 5.7² =102.1 yards²

8. radius = 8/2 = 4 yards

(22/7) x 4² = 50.3 yards²

9. 2nr = 75.4 yards

2 x (22/7) x r = 75.4

to find r, divide both sides of the equation by 2 and 7/22

r = 12 ft

Area =  (22/7) x 12² = 452.2 ft²

10. 2nr = 69.1 yards

2 x (22/7) x r = 69.1

to find r, divide both sides of the equation by 2 and 7/22

r = 10.99 ft²

Area = (22/7) x 10.99² = 379.8 ft²

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

8 0
3 years ago
Who else is only on this cause of Algebra Nation?
Ede4ka [16]

Riiiight her buddy and history

5 0
3 years ago
Please help me its very urgent!​
marusya05 [52]

Answer: A

Step-by-step explanation:

This is because...

1st. Simplify both sides of the equation (distribute the 4 and combine like terms)

6 + -x = 20 + 4x + -4 (distributed 4)

-x + 6 = 4x + 16 (combined like terms)

2nd. Subtract 4x from both sides.

3rd. Subtract 6 from both sides.

4th. Divide both sides by -5.

7 0
3 years ago
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