Which statement is true about the frequency distribution below

MakcuM [25]

Answer:

○ $\displaystyle (x - 4)^2 + (y + 2)^2 = 25$

Explanation:

Accourding to one of the circle equations, $\displaystyle (x - h)^2 + (y - k)^2 = r^2,$ the centre of the circle is represented by $\displaystyle (h, k).$ Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:

Pythagorean Theorem

$\displaystyle a^2 + b^2 = c^2 \\ \\ 4^2 + 3^2 = r^2 \hookrightarrow 16 + 9 = r^2 \hookrightarrow \sqrt{25} = \sqrt{r^2} \\ \\ \boxed{5 = r}$

Sinse we are dealing with length, we only desire the NON-NEGATIVE root.

Distanse Equation

$\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-7 + 4]^2 + [-2 - 2]^2} = r \hookrightarrow \sqrt{[-3]^2 + [-4]^2} = r \hookrightarrow \sqrt{9 + 16} = r; \sqrt{25} = r \\ \\ \boxed{5 = r}$

Sinse we are dealing with distanse, we only desire the NON-NEGATIVE root.

I am joyous to assist you at any time.

6 0

2 years ago

I have a few questions! what is the gcf for

Harrizon [31]

Answer:

(21 and 54): 3

(55 and 90): 5

(16 and 30): 2

(42 and 91): 7

(66 and 121): 11

Step-by-step explanation:

5 0

3 years ago

Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with

shtirl [24]

8 would be more times than it's of pyramid b then A

8 0

3 years ago

DODOL

ZanzabumX [31]

For this case we have that the point-slope equation of a line is given by:

$y-y_ {0} = m (x-x_ {0})$

Where:

m: It is the slope of the line

$(x_ {0}, y_ {0}):$ It is a point through which the line passes

In this case we have to:

$(x_ {0}, y_ {0}) :( 3,2)$

Substituting in the equation we have:

$y-2 = m (x-3)$

Answer:

$y-2 = m (x-3)$

We just need to replace the value of the slope

3 0

4 years ago

Izzy hits a ball of a tee 2 feet off the ground, with an initial velocity of 64 feet per second. What will be the maximum height

OLEGan [10]

Answer:

Step-by-step explanation:

I figured this out with calculus since it's easier that way. The position function for the ball is

$s(t)=-16t^2+64t+2$ . The first derivative of position is velocity, so we need to find the first derivative of the position function which is

v(t) = -32t + 64

Now, where the ball is at its highest point is where the velocity is equal to 0, so setting the velocity function equal to 0 allows us to determine how many seconds it takes to get to that max height.

0 = -32t + 64 and

-64 = -32t so

t = 2 seconds. It takes 2 seconds to get to its max height. In order to determine that max height, we sub 2 in for t in the position function:

$s(2)=-16(2)^2+64(2)+2$ and

s(2) = 66 feet. The max height of the ball is 66 feet.

7 0

3 years ago