Answer:
a = 10
Step-by-step explanation:
From the solution given, x = a and y = -1
Substitute for x and y in either of the equations
y = -x + 9
-1 = -a + 9
a = 9 + 1 = 10
Step-by-step explanation:
Equation of line is y-y1 = m(x-x1), where m is the slope and (x1,y1) is the given point.
y-2 = 1/4*(x-(-4))
y-2 = 1/4 * (x+4)
4*(y-2) = x+4
Equation of the line is,
x-4y = -12
Answer:
Step-by-step explanation:
One solution: when two lines intersect in exactly one point.
Infinitely many solutions: When one of two lines can be shown algebraically to be exactly the same as the other. The two lines coincide.
No solution: The two lines have the same slope but different y -intercepts. They can't and don't intersect.
Answer:
x = 11
Step-by-step explanation:
The angle formed by two secants is half the difference of the intercepted arc angles.
m∠D = ½ (mBS − mCE)
60 = ½ (173 − (5x − 2))
120 = 173 − 5x + 2
5x = 55
x = 11
Answer:
68,600
Step-by-step explanation:
The order of the players is not important. For example, a defensive line of Shaq Lawson, Ed Oliver and Jerry Hughes is the same as a defensive line of Ed Oliver, Shaq Lawson and Jerry Hughes. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Defensive Lineman:
3 from a set of 8. So

56 combinations of defensive lineman
Linebackers:
4 from a set of 7. So

35 combinations of linebackers
Defensive backs:
4 from a set of 7. So

35 combinations of defensive backs
How many different ways can the coach pick the 11 players to implement this particular defense?
56*35*35 = 68,600
68,600 different ways can the coach pick the 11 players to implement this particular defense