Answer:
Step-by-step explanation:
Let's look at the first two, and hopefully you'll be able to figure the rest out:
1. Answer below

The problem asks us to solve for
, so that means we need to get
on one side of the equation by itself. To do so, we will need to divide both sides of the equation by
:


2. Answer below

The problem asks us to solve for
, so that means we need to get
on one side of the equation by itself. To do so, we will need to add
to both sides of equation:


Answer:
Caleb arrived first 2 hours before Alyssa
Step-by-step explanation:
To solve the situation, find the speed per hour they were driving by dividing the distance they drove by the time it took.
Alyssa drove 105 miles in 3.5 hours or 105/3.5 = 30 miles per hour.
Caleb drove 168 miles in 4 hours or 168/4 = 42 miles per hour.
Since they both left at the same time and drove the same 210 miles to the beach, Caleb arrived first since he was driving faster.
He arrived in 210/42 = 5 hours.
Alyssa arrived in 210/30 = 7 hours.
He arrived 2 hours before her.
Answer:
x = 4
Step-by-step explanation:
We can find the answer to this by solving the equation:
3x - 4 = 8
3x - 4 + 4 = 8 + 4
3x = 12
x = 4
Hello!
If a you want to find an equation of the line that is parallel to the given line, we must know that if two lines are parallel, then their slope will <em>always</em> have to be equal.
This means that the new equation must have a slope of -1/3.
Also, you would need to substitute the given point (6, 8) into the equation with the slope: -1/3 as well. Following these steps allows you to find the equation of line.
y = -1/3x + b (6, 5)
5 = -1/3(6) + b
5 = -2 + b (add 2 to both sides)
7 = b
Therefore, the equation of the line is y = -1/3x + 7.
Answer:
the first one
Step-by-step explanation: