alex is traveling by train to a vacation spot that is 810 miles away. The train is traveling at 90 miles per hour, and it has already covered 180 miles. In exactly how many hours will alex reach his destination from his current position

x = 7 h

Explanation:

First, we write the data of the problem.

Alex travels 810 miles away

Train - 90 miles / h

Alex covers 180 miles.

How many hours does Alex walk in the distance?

1. Calculate the distance Alex still has to travel.

 810 miles - 180 miles = 630 miles

2. We take into account the speed of the train to calculate how many hours Alex will cover the remaining distance.

90 miles 1 h

630 miles x h

x = 630 milesx1h / 90 miles

x = 7 h

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

given the equation is 8+9z=-6, the first step would be to subtract the 8 from both sides:

8+9z-8=-6-8

since 8 minus 8 = 0, this would cancel out the 8. and since -6 minus 8 equals -14, the equation would look like this

9z = -14