Answer:
<h2>y = 4x + 5 and y = 4x - 5</h2>
Step-by-step explanation:
(1) y = 4x + 5 and (2) y = 4x - 5
substitute (1) to (2):
4x + 5 = 4x - 5 <em>subtract 4x from both sides</em>
5 = -5 FALSE (no solution)
(1) y = 4x + 5 and (2) 2y = 8x + 10
substitute (1) to (2):
2(4x + 5) = 8x + 10 <em>divide both sides by 2</em>
4x + 5 = 4x + 5 <em>subtract 4x from both sides</em>
5 = 5 TRUE (infinitely many solutions)
(1) y = 4x + 5 and (2) y = x + 5
substitute (1) to (2):
4x + 5 = x + 5 <em>subtract 5 from both sides</em>
4x = x <em>subtract x from both sides</em>
3x = 0 <em>divide both sides by 3</em>
x = 0
Put it to (2):
y = 0 + 5 = 5
One solution (0, 5)
(1) y = 4x + 5 and (2) y = 8x + 10
substitute (1) to (2):
4x + 5 = 8x + 10 <em>subtract 5 from both sides</em>
4x = 8x + 5 <em>subtract 8x from both sides</em>
-4x = 5 <em>divide both sides by (-4)</em>
x = -1.25
Put it to (1):
y = 4(-1.25) + 5 = -5 + 5 = 0
One solution (-1.25, 0)
Answer: (-2,1)
Step-by-step explanation:
When reflecting over the x-axis, you keep the x-axis and invert the y-axis.
So the distance between 6, 8 are 6 blocks
Plane A 520 feet vertical rise 40 feet/min
plane B 3800 feet vertical dip 120 feet per minute.
vertically the speeds are 40 feet / minute & 120 feet /minute.
120 + 40 = 160 feet per minute.
the distance between them = 3800 -520 =3280 feet
t= d/r
3280/160
t = 20.5 minutes. they will be at the same altitude.