All categories

3 years ago

A circle is centered at the point (-3, 2) and passes through the point (1, 5) what is the radius of the circle

Mathematics

1 answer:

fomenos3 years ago

6 0

Answer:

5 units

Step-by-step explanation:

Center of the circle = (-3, 2)

Point on the circle = (1, 5)

Radius of the circle will be equal to the distance between the points (-3, 2) & (1, 5)

$\therefore \: radius \: of \: the \: circle \\ = \sqrt{ {( - 3 - 1)}^{2} + {(2 - 5)}^{2} } \\ = \sqrt{ {( - 4)}^{2} + {( - 3)}^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25} \\ \therefore \: radius \: of \: the \: circle = 5 \: units$

You might be interested in

5.5.5.5.4.4.4 in exponential form.

Paha777 [63]

5^4 and 4^3

hope it helps!

if not, sorry...

8 0

3 years ago

Solve for x give answer as radicals (roots)

skelet666 [1.2K]

Answer:

x = 15

Step-by-step explanation:

Use pythagorean theorem: $a^{2} +b^{2} = c^{2}$

$8^{2} +x^{2} =17^{2} \\ 64 + x^{2} = 289 \\\\x^{2} = 289 - 64\\x^{2} = 225\\x = 15$

8 0

4 years ago

Jess needs 2 yards of molding to put around the bottom of a sandbox. One piece she has is ⅞ inch and the second piece she has is

Mazyrski [523]

Answer:

yes jess does have enough for her sandbox

Step-by-step explanation:

I did this test to and jess does indeed have enough for the sandbox

7 0

2 years ago

A paint can has a radius of 4 inches and a height of 15 inches. What is the volume of the paint can?

xxMikexx [17]

For this case we have that by definition, the volume of a cylinder is given by:

$V = \pi * r ^ 2 * h$

Where:

A: It's the radio

h: It's the height

We have according to the data:

$r = 4 \ in\\h = 15 \ in$

Substituting:

$V = \pi * (4) ^ 2 * 15\\V = \pi * 16 * 15\\V = \pi * 240\\V = 753.6 \ in$

Thus, the volume of the paint can is 753.6 cubic inches.

Answer:

$V = 753.6 \ in^3$

7 0

4 years ago

Read 2 more answers

Triangle ABC has vertices at A(3, 8) , B(11, 8) , and C(9, 12) . Triangle FGH has vertices at F(1, 3) , G(9, 3) , and H(7, 7) .

Alex17521 [72]

Hmm, (x,y)
x is horizontal or left right
y is vertical or up down

so

we see that A to F is move left 2 and down 5
B to G is left 2 and down 5
C to H is left 2 and down 5

so translatete ABC left 2 and down 5 and
translate FGH right 2 and up 5

not 1st option
2nd works
3rd works
4th is false

2nd and 3rd

6 0

3 years ago

Read 2 more answers