All categories

3 years ago

The equation of a circle is x^2 + y^2= 42.25 Find the radius of the circle.

Mathematics

1 answer:

poizon [28]3 years ago

7 0

Answer:

radius = 6.5

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

x² + y² = 42.25 ← is in this form

with r² = 42.25 ( take the square root of both sides )

r = $\sqrt{42.25}$ = 6.5

You might be interested in

-2x+15y=24 2x+9y=24, what is the value of x and y

kaheart [24]

Eliminate x's by adding te 2 equations

add them

-2x+15y=24
<u>2x+9y=24 +</u>
0x+24y=48

24y=48
divide both sides by 24
y=2

sub back

2x+9y=24
2x+9(2)=24
2x+18=24
minus 18 both sides
2x=6
divide 2
x=3

x=3
y=2

(x,y)
(3,2)

4 0

3 years ago

H(x-2)+6 In simpliest form

Ganezh [65]

Answer:

hx-h2+6

Step-by-step explanation:

First solve the parentheses, do h*x - 2h, then add the +6.

Hope I helped! :D

6 0

3 years ago

Find the midpoint of AB for: A(7,0)|and B(0,3)

liberstina [14]

Answer:

$\boxed {\boxed {\sf (\frac {7}{2}, \frac{3}{2}) \ or \ (3,5, 1.5) }}$

Step-by-step explanation:

The midpoint is essentially a point with the average of the 2 x-coordinates and the 2 y-coordinates.

The formula is:

$(\frac {x_1+x_2}{2}, \frac{y_1+y_2}{2})$

We are given two points: A (7,0) and B (0, 3). Remember points are written as (x, y).

Therefore,

$x_1= 7 \\y_1=0 \\x_2=0 \\x_2=3$

Substitute the values into the formula.

$(\frac {7+0}{2}, \frac{0+3}{2})$

Solve the numerators first.

$(\frac {7}{2}, \frac{3}{2})$

The midpoint can be left like this because the fractions are reduced, but it can be written as decimals too.

$(3.5, 1.5)$

3 0

3 years ago

This is the picture to my last question. sorry

erma4kov [3.2K]

Answer:

Step-by-step explanation:

The point A has coordinates (5, 1) so the image of A which is A' has

coordinates (5 - 2, 1+3)

= (3, 4).

B', C' and D' are calculated in the same way.

So B' is (4, 1),

C' = (3, 2) and

D' = (2, 1)

3 0

3 years ago

Wesley estimated 5.82-4.29 to be about 2. Is this an overestimate or underestimate Explain.

lys-0071 [83]

It is an over estimate because 5.82-4.29=1.53 it is closer to 1.5 not 2

8 0

3 years ago