Answer:
(x + 5)**2 + (y + 2)**2 = 25
Step-by-step explanation:
We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius. The graph shows the center at (-5, -2), and the radius of 5. So plugging this in
(x - -5)**2 + (y - - 2)**2 = 5**2
(x + 5)**2 + (y + 2)**2 = 25
Answer:
15 goals out of 50 penalty kicks was scored by brock
Step-by-step explanation:
If Brock shoots 50 penalty kicks and the probability that he scores a penalty kick is 3/10, the number of goal brock is expected to make can be expressed as:
Number of goals scored = probability value * total penalty kicks taken
Number of goals scored = 
Number of goals scored = 
Answer:
$15
Step-by-step explanation:
let the hourly rate of pay for Ben = B
let the hourly rate of pay for Judy = J
Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75;
4J + B = 75 ----- i
Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120
2J + 6B = 120 --- ii
Now, we should solve the expression;
Multiply equation ii by 2 and equation i by 1;
4J + B = 75 ----- i x 1 ; 4J + B = 75 -- iii
2J + 6B = 120 --- ii x 2 ; 4J + 12B = 240 ---iv
Now,
equation iv - iii;
11B = 165
B = $15
So, solving for J;
4J + B = 75
4J + 15 = 75
4J = 75 - 15 = 60
J = $15
Answer:
- Angle 'a' is an alternating exterior angle with one angle in the triangle and therefore congruent to one angle in the triangle formed by lines m, x, and y.
- Angles 'b' and 'c' are vertical angles with the other two angles in the triangle and therefore congruent to two other angles in the triangle
Step-by-step explanation:
Vertical angles are angles that are equal to each other but in opposite direction. The angles b and c have vertical angles on the triangle Q while alternate exterior angles are equal angles that lie on different lanes cutting through an axis.
Angles on a plane can be congruent if they are vertical equals or alternating exterior angles.
Answer:
32 °F
Sorry if I'm wrong
Step-by-step explanation: