Answer:
The radius of the given circle ( r ) = 2√2
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the center of the circle C = ( -2,1)
Given a point on the circle P = (0,3)
The distance between the center and point is called the radius of the circle
CP = radius of the circle
<u><em>Step(ii):-</em></u>
![CP = \sqrt{x_{2} - x_{1})^{2} +(y_{2} -y_{1} )^{2} }](https://tex.z-dn.net/?f=CP%20%3D%20%5Csqrt%7Bx_%7B2%7D%20-%20x_%7B1%7D%29%5E%7B2%7D%20%2B%28y_%7B2%7D%20-y_%7B1%7D%20%29%5E%7B2%7D%20%20%7D)
![CP = \sqrt{(0 - (-2))^{2} +(3-1)^{2} } \\CP = \sqrt{4+4}](https://tex.z-dn.net/?f=CP%20%3D%20%5Csqrt%7B%280%20-%20%28-2%29%29%5E%7B2%7D%20%2B%283-1%29%5E%7B2%7D%20%20%7D%20%5C%5CCP%20%3D%20%5Csqrt%7B4%2B4%7D)
CP = √8 = ![\sqrt{4 X 2} = 2\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B4%20X%202%7D%20%3D%202%5Csqrt%7B2%7D)
<u><em>Final answer:-</em></u>
The radius of the given circle ( r ) = 2√2
Answer:
The new amount paid to mechanics per after by new owner is $ 19 Answer
Step-by-step explanation:
Given as :
The amount paid to mechanics initially = $ 20 per hour
Now, The new owner paid less at the rate = 5%
Let the amount paid to the mechanics after 5 % less = x per hour
So, According to question
The new amount paid to mechanics per hour = initial amount paid per hour × ( 1 -
)
or, The new amount paid to mechanics per hour = $ 20 × ( 1 -
)
I.e The new amount paid to mechanics per hour = $ 20 × 0.95
∴ The new amount paid to mechanics per hour = $ 19
Hence The new amount paid to mechanics per after by new owner is $ 19 Answer
<span>The inequality is looking for a value of "at least 10" gardens. This means something "greater than or equal to" 10 (>=10). After selling 3 on Monday plus 4 on Tuesday, this leaves "x" to be sold to reach the goal. By setting this on the same side as the 7, we can create the inequality to find out how many more are needed, at minimum, to reach our stated goal: 7 + x >= 10, which, when subtracting the 7 out from both sides of the inequality, leaves x >= 3 gardens.</span>
12 -2x < 16
First, subtract 12 from both sides.
-2x < 16 - 12
-2x < 4
Divide both sides by -2
x > -2 (you switch the < sign with > when divided by a negative).
Because it is not greater than/less than or equal to, it is an open circle at -2. Any number that is greater than -2 means it's shaded to the right, the answer's B.
Slope of the line passes through (5,10) and (7,12) is 1.
Step-by-step explanation:
Given,
The two points are (5,10) and (7,12).
To find the slope passing through the given points.
Formula
The slope of the line passing through (
) and (
) is ![\frac{y_{2} -y_{1} }{x_{2} -x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D%20-y_%7B1%7D%20%7D%7Bx_%7B2%7D%20-x_%7B1%7D%20%7D)
Now, putting
we get,
Slope =
=
= 1
Hence,
Slope of the line passes through (5,10) and (7,12) is 1.