Answer:
The distance is
or
.
Step-by-step explanation:
Slope of parallel: 2
Slope of perpendicular: -1/2
Pick a point for y =2x + 7. For example (0,7)
Use the perpendicular slope to get to the other line to find the other point of y=2x-3. Look at the screenshot...I got (4,5).
Distance formula 
Insert (0,7) and (4,5)
= 
For this case, we can model the problem as a triangle with a right angle.
Where,
x, y: lengths of the sides of the triangle
d: hypotenuse of the triangle
We then have the following relationship:

Clearing d we have:
Answer:
A functions that would best model the situation above is:
D square root
0.24 repeating so rounding it to the nearest hundredth would make it stay 0.24<span />
<h2>
Answers:</h2>
Exercise 34.
and
.
Exercise 35.
.
<h2>
Step-by-step explanation:</h2>
<h2><u>
Exercise 34.</u></h2>
1. Forming the inequality.
Let's make the left side be a calculation of the total earning based on the number of tickets sols. Also, let's make the right side the cost of the dance to compare and find an adecuate minimum value of x.
.
<em>We use the </em><em>"greater or equal to"</em><em> symbol because the side of x expresses the earning of the committee, and these earnings will have to be equal or greater than the cost of the dance to be able to organize the dance.</em>
2. Solving the inequality.

3. Express your results.
, therefore, the dance committee will have to sell at least 82 tickets to be able to cover the cost of the dance.
<h2><u>Exercise 35.</u></h2>

<em>Apply the associative property of multiplication.</em>
<em>Rule to be applied: </em>
.

Result.
.
Answer:
×=3
Step-by-step explanation:
you have to do 3×-2×=1x
and than the formal look like ×+4=4×-5
and move × to other side so that become 3x
and move 5 to +5 so that become 9
the formal look like 9=3×
and divide 3/9 is your answer
×=3