You would need two different lines to complete this as lines cannot be both parallel and perpendicular (these are opposites). The answers would be:
Parallel: x = 2
Perpendicular: y = -2
In order to find these, we first need to see that the original line of x = -1 is a horizontal line. Therefore, any line that is parallel should be horizontal as well. To get a horizontal line through the point (2, -2), the only option is x = 2.
Similarly, with the perpendicular line, if the original line is horizontal, the new line must be vertical. The only vertical line that goes through (2, -2) is y = -2.
Answer:
8%
Step-by-step explanation:
Let's say the tax percent was x%. Then, we can write the equation:
4.75 + x% * 4.75 = 5.13
Notice that both terms on the left have 4.75 so factor that out:
4.75 * (1 + x%) = 5.13
Divide both sides by 4.75:
1 + x% = 5.13/4.75 = 1.08
Subtract 1 from both sides:
x% = 0.08
Remember that % simply means "out of 100", so x% = x/100:
x/100 = 0.08
Multiply both sides by 100:
x = 8
Thus, the tax rate is 8%.
Hope this helps!
Answer: 0.129
Step-by-step explanation:
Coach Collin's soccer team selected 16 girls from 124 girls who tried out for the team.
The fraction of girls selected to those who tried out in fraction form is:
= 16/124
The decimal form will be:
= 16 ÷ 124
= 0.129
