All categories

3 years ago

Write the equation of a circle with a center at (2.5, –3.5) and a diameter of 12.

Mathematics

1 answer:

Paul [167]3 years ago

3 0

Answer:

second option

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus

(x - 2.5)² + (y - (- 3.5))² = 6², that is

(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle

You might be interested in

A 15% discount saves you $5 off the price of an electric game how much do you save off the regular price of the discount is Rave

xenn [34]

You will save $15
x×0.15=5
x=33.33333
x×0.45=15

8 0

3 years ago

A coin is tossed, and a standard number cube is rolled. What is the probability that the coin shows heads and the number cube sh

Ainat [17]

So,

Since this is independent probability, the probability of the event above occurring is:
$(probability\ of\ heads)(probability\ of\ even\ no.)$

First, the probability of landing on heads.
$\frac{1}{2}$

Now, the probability of rolling an even number.
<u /> $\frac{3}{6}\ or\ \frac{1}{2}$

Plug it into the equation.
$\frac{1}{2} * \frac{1}{2} = \frac{1}{4}$

The correct option is C.

7 0

3 years ago

WILL GIVE BRAINLIEST!!!

grin007 [14]

Answer:

i think the second one

Step-by-step explanation:

i think it would be the smartest thing to pick

7 0

3 years ago

The function g is related to one of the parent function g(x)=-(x-2)^3

Svetllana [295]

Answer:

(2,0)

Step-by-step explanation:

4 0

2 years ago

Evgesh-ka [11]

Answer:

Height = 14.4

Step-by-step explanation:

The diagonals meet at right angles. Interesting property.

The hypotenuse is the side of the rhombus = 15 cm

One of the sides of the small triangles created by the intersection of the diagonals = 24/2 = 12

You can find the other side of the the triangle by using the Pythagorean Theorem

a^2 + b^2 = c^2

c = 15

a = 12

b = ?

12^2 + b^2 = 15^2

144 + b^2 = 225

b^2 = 225 - 144

b^2 = 81

b = 9

The area of this right angle = 9 * 12/2 = 54

There are 4 of them so 4 * 54 = 216

That's the area of the rhombus.

The h= Area / b

b = 15

h = 216/15

h = 14.4

8 0

2 years ago