Answer:
3 units
Step-by-step explanation:
Equation of the circle is:
Equating it with
We find: h = - 3 & k = - 1
Center of the circle (C) = (-3, - 1)
Since, the point (-3, 2) lies on the circle, therefore radius of the circle wii be equal to the distance between the center of the circle (-3, - 1) and the point (-3, 2) which is on the circle.
Therefore,
![r = 3\: units](https://tex.z-dn.net/?f=%20r%20%3D%203%5C%3A%20units%20)
Answer:
322 antes de Cristo
Step-by-step explanation:
Se começarmos com o princípio de que antes de Cristo os anos são representados em uma linha real à esquerda de 0 (nascimento de Cristo) e os anos após Cristo na linha real à direita de 0, temos:
......-384.......-322..... -2,-1,0,1,2,.......................
-384+62 = -322, isto é, o ano 322 antes (-) de Cristo
Answer:
x = 2
y = -1
Step-by-step explanation:
Since it gives you the value of y already, just plug that into the equation, like so:
y = 4x - 9
x - 3 = 4x - 9
<em><u>Subtract the x from both sides:</u></em>
x - 3 = 4x - 9
-x - x
__________
-3 = 3x - 9
<em><u>Then, add 9 to both sides:</u></em>
-3 = 3x - 9
+9 + 9
________
6 = 3x
<em><u>Divide both sides by 3:</u></em>
2 = x
<em><u>Now plug in x for y:</u></em>
y = x - 3
y = 2 - 3
y = -1
Answer:
14 in²; D.
Step-by-step explanation:
Hey!
To find the area of a trapezoid, we will add up both of the bases, divide by two, and then multiply the height.
In that case, we'll start by adding up 5 and 9.
5 + 9 = 14
.
7 × 2 (height) = 14.
Thus, the area of the given trapezoid is
, or D.
Hope this helps!
Answer:
9.36 unit^2 to the nearest hundredth.
Step-by-step explanation:
The volume of the whole circle = 2 π r
= 2 * 3.7 * π
= 7.4π
So by proportion, as there are 360 degrees in a circle:
Area of the shaded sector = (145/360) * 7.4π
= 9.36 unit^2.