All categories

2 years ago

Identify the center and radius of the circle with the following equation: 〖(x+3)〗^2+〖(y-1)〗^2=81

Mathematics

1 answer:

kirill115 [55]2 years ago

4 0

Answer:

centre (3 ,-1) , r=9

Explanation:

The standard form of the equation of a circle is.

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

(

−

)

(

−

)

∣

−−−−−−−−−−−−−−−−−−−−−−−−−

where (a,b) are the coordinates of the center and r , the radius.

For the given equation: a = 3 , b = -1 and r = 9

hence centre = (3 ,-1) and radius = 9

Step-by-step explanation:

You might be interested in

Help please!!!!!!!!!!!

AysviL [449]

Answer:

A. Plant 1 is growing at a faster rate than Plant 2.

Step-by-step explanation:

The slope (m) or rate of growth in Plant 1 is;

m = Change in y ÷ change in x

m = $\frac{3.5 - 1.5}{1 - 0}$ = 2

The linear equation of growth in Plant 1 is;

$\frac{y - 1.5}{x - 0}$ = 2

y = 2x + 1.5

The equation of growth in Plant 2 is; y = 1.5x + 3 (slope of 1.5)

Since the slope in growth of Plant 1 is greater than that in Plant 2, it implies then that Plant 1 is growing at a faster rate than Plant 2.

7 0

3 years ago

The Cia estimates the world population is growing at a rate of 1.167% each year.the world population for 2007 was about 6.6 bill

labwork [276]

Hcvnmbvcchjjhhfgcxgjjbxxghnkn8

5 0

2 years ago

What is the surface area of a cuboid with length 5cm, width 3cm and height 6cm.

zavuch27 [327]

Answer:

126

Step-by-step explanation:

(2*5*3)+(2*6*3)+(2*6*5)

7 0

2 years ago

Read 2 more answers

Can a triangle be formed by 7.4 cm , 8.1 cm , 9.8 cm

kompoz [17]

No all sides are equal

3 0

2 years ago

Angela decides to recycle a large oatmeal container by using it to hold a friends birthday gift. Then she wraps the container in

Deffense [45]

Answer:

D. 135.37 in²

Step-by-step explanation:

We have that the gift paper consists of two circles and a square.

Thus, we will need to find the area of the circles and the square.

Now, as the diameter of the circle = 4 inches

So, the radius of the circle = $\frac{4}{2}$ = 2 inches

Since, the area of a circle = $\pi r^{2}$

This implies that area of the two circles = $2\times \pi r^{2}$

i.e. Area of the circles = $2\times \pi 2^{2}$

i.e. Area of the circles = $8\pi$

i.e. Area of the two circles = 25.133 in²

Further, one side of the square = 10.5 inches

Thus, the area of the square = $side^{2}$

i.e. Area of the square = $10.5^{2}$

i.e. Area of the square = 110.25 in²

So, the overall area of the gift paper = 25.133 + 110.25 = 135.37 in².

Hence, the amount of paper used by Angela is 135.37 in².

7 0

3 years ago