Answer:
Step-by-step explanation:
5x-1 is twice the bisector angle 4x-17 so
5x-1=2(4x-17)
5x-1=8x-34
-3x=-33
x=11, abc=5x-1
5(11)-1=54
Answer:
30 m/s
Step-by-step explanation:
Let's say the distance from the first car to the intersection is x, and the distance from the second car to the intersection is y.
The distance between the cars can be found with Pythagorean theorem:
d² = x² + y²
Taking derivative with respect to time:
2d dd/dt = 2x dx/dt + 2y dy/dt
d dd/dt = x dx/dt + y dy/dt
We know that x = 200, dx/dt = -25, y = 150, and dy/dt = -50/3.
To find dd/dt, we still need to find d.
d² = x² + y²
d² = (200)² + (150)²
d = 250
Plugging everything in:
250 dd/dt = (200) (-25) + (150) (-50/3)
dd/dt = -30
The cars are approaching each other at a rate of 30 m/s at that instant.
Answer:
17/50
Step-by-step explanation:
P(red or purple) = number of red or purple / total
There are 7 red rings and 10 purple rings
= (7+10) / 50
= 17/50
Answer:
$20.96
Step-by-step explanation: 6.45 times three equals 19.35 plus a quarter of 6.45 equals 1.6125 which you round to 1.61. So 19.35+1.61= 20.96
Answer:
16y + 32
Step-by-step explanation:
Expand each term.
(y+6)² - (y-2)²
= (y+6)(y+6) - (y-2)(y-2)
= y² + 12y + 36 - (y² - 4y + 4)
Subtract the second group by changing each term's signs
= y² + 12y + 36 - y² + 4y - 4
Collect like terms
= 16y + 32
