-2(x + 3) = -2(x + 1) - 4
-2x - 6 = -2x - 2 - 4 <em>distributed -2 on the left and on the right</em>
-2x - 6 = -2x - 6
<u>+2x </u> <u>+2x </u>
-6 = -6
TRUE
Since this is a true statement, there are infinite solutions (aka All Real Numbers)
Answer: C
An isosceles triangle is a triangle that has two sides of equal length.
So, you have sides of 7,7,4 in which perimeter is 18
or you have sides of 4,4,7 in which perimeter is 15.
<span>A line segment is described as a fixed distance along a line. This is because a line segment has a definitive start point and an end point, and it falls along one line.</span>
Answer:
x represents the trip distance.
x = 300 miles
Rate of bus = 50 mph
Rate of train = 75 mph
Step-by-step explanation:
Let the trip distance be x miles.
![\because \: speed = \frac{distance}{time} \\ time \: taken \: by \: bus \: to \: complete \: \\ the \: trip \: = 6 \: hours \\ \therefore \: speed \: of \: bus = \frac{x}{6} \: mph \\ \\ time \: taken \: by \: train \: to \: complete \: \\ the \: same \: trip \: = 4 \: hours \\ \therefore \: speed \: of \: train = \frac{x}{4} \: mph \\ \\ \because \: \: speed \: of \: train \\ =speed \: of \: bus \: + 25 \: mph \\ \therefore \: \frac{x}{4} = \frac{x}{6} + 25 \\ \\ \therefore \: \frac{x}{4} - \frac{x}{6} = 25 \\ \\ \therefore \: \frac{6x - 4x}{4 \times 6} = 25 \\ \\ \therefore \: \frac{2x}{24} = 25 \\ \\\therefore \: \frac{x}{12} = 25 \\ \\ \implies \: x = 25 \times 12 \\ \implies \: x =300 \: miles \\ \\ rate \: of \: bus = \frac{x}{6} = \frac{300}{6} = 50 \: mph\\ \\ rate \: of \: train = \frac{x}{4} = \frac{300}{4} = 75 \: mph](https://tex.z-dn.net/?f=%20%5Cbecause%20%5C%3A%20speed%20%3D%20%20%5Cfrac%7Bdistance%7D%7Btime%7D%20%20%5C%5C%20time%20%5C%3A%20taken%20%5C%3A%20by%20%5C%3A%20bus%20%5C%3A%20to%20%5C%3A%20complete%20%5C%3A%20%20%5C%5C%20the%20%5C%3A%20%20trip%20%5C%3A%20%20%3D%206%20%5C%3A%20hours%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20speed%20%5C%3A%20of%20%5C%3A%20bus%20%3D%20%20%5Cfrac%7Bx%7D%7B6%7D%20%5C%3A%20%20mph%20%5C%5C%20%20%5C%5C%20time%20%5C%3A%20taken%20%5C%3A%20by%20%5C%3A%20train%20%5C%3A%20to%20%5C%3A%20complete%20%5C%3A%20%20%5C%5C%20the%20%5C%3A%20same%20%5C%3A%20%20trip%20%5C%3A%20%20%3D%204%20%5C%3A%20hours%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20speed%20%5C%3A%20of%20%5C%3A%20train%20%3D%20%20%5Cfrac%7Bx%7D%7B4%7D%20%5C%3A%20%20mph%20%5C%5C%20%20%5C%5C%20%20%5Cbecause%20%5C%3A%20%5C%3A%20speed%20%5C%3A%20of%20%5C%3A%20train%20%20%5C%5C%20%3Dspeed%20%5C%3A%20of%20%5C%3A%20bus%20%5C%3A%20%20%2B%2025%20%5C%3A%20mph%20%5C%5C%20%20%20%5Ctherefore%20%5C%3A%20%20%5Cfrac%7Bx%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7Bx%7D%7B6%7D%20%20%2B%2025%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%20%5Cfrac%7Bx%7D%7B4%7D%20%20-%20%20%5Cfrac%7Bx%7D%7B6%7D%20%20%3D%2025%20%5C%5C%20%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20%20%5Cfrac%7B6x%20-%204x%7D%7B4%20%5Ctimes%206%7D%20%20%3D%2025%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20%20%5Cfrac%7B2x%7D%7B24%7D%20%20%3D%2025%20%5C%5C%20%20%5C%5C%5Ctherefore%20%5C%3A%20%20%5Cfrac%7Bx%7D%7B12%7D%20%20%3D%2025%20%5C%5C%20%20%5C%5C%20%5Cimplies%20%5C%3A%20x%20%3D%2025%20%5Ctimes%2012%20%5C%5C%20%5Cimplies%20%5C%3A%20x%20%3D300%20%5C%3A%20miles%20%5C%5C%20%20%5C%5C%20rate%20%5C%3A%20of%20%5C%3A%20bus%20%20%3D%20%20%5Cfrac%7Bx%7D%7B6%7D%20%3D%20%20%5Cfrac%7B300%7D%7B6%7D%20%20%3D%2050%20%5C%3A%20mph%5C%5C%20%20%5C%5C%20rate%20%5C%3A%20of%20%5C%3A%20train%20%20%3D%20%20%5Cfrac%7Bx%7D%7B4%7D%20%3D%20%20%5Cfrac%7B300%7D%7B4%7D%20%20%3D%2075%20%5C%3A%20mph)
Answer:
Can't be determined
Step-by-step explanation:
You just don't have enough info!