Answer:
x = 17, y = 28
Step-by-step explanation:
1. Isolate for x in "x - y = -3, -8":
x - y+y = -3, -8+y
x = -11 + y
2. Substitute "x = -11 + y" in for x in the second expression:
-11 + y + y = 45
3. Simplify:
-11 + 2y = 45
4. Isolate y:
-11+11 +2y = 45+11
2y = 56
y = 28
5. Substitute the new y-value into the first equation:
x = -11 + 28
x = 17
hope this helps!
Answer:
6 and 9
Step-by-step explanation:
set up an equation and solve for x
(x+3) * x = 54
easiest way to to try some numbers.
if you know your multiplication tables...
what two number multiplied together are 54
be sure the numbers you are thinking of meet the rules
is one 3 more than the other
do they multiply together to get 54
Answer:
Pendulum will swing by an angle 0.666π
Step-by-step explanation:
We have given arc = 
And length of the pendulum l = 150 cm
Length of the pendulum will be equal to radius of the pendulum so r = 150 cm
Arc is given by 
So 
So pendulum will swing by an angle 0.666π
Answer:
15
Step-by-step explanation:
Distance between two points is = √(x2 - x1)² + (y2 - y1)²
x1 = -5, y1 = 4; x2 = 7, y2 = -5
|PQ| = √(7 - (-5))² + (-5 - 4)²
|PQ| = √(7 + 5)² + (-9)²
|PQ| = √(12)² + 81
|PQ| = √144 + 81
|PQ| = √225
|PQ| = 15
