Answer:
14.4222
Step-by-step explanation:
Distance between two points = √(x₂ – x₁)² + (y₂ – y₁)²
Distance between two points = √(6 – -2)² + (-5 – 7)²
√(6 – -2)² + (-5 – 7)²
√8² + (-12)²
√64 + 144
√208
14.4222
I hope this helps
The value is

or

, since it is in the tenths place.
Answer:
x =
y²
Step-by-step explanation:
Any point (x, y ) on the parabola is equidistant from the focus and the directrix
Using the distance formula, then
= | x + 3 |
Squaring both sides
(x - 3)² + y² = (x + 3)² ← expanding both sides
x² - 6x + 9 + y² = x² + 6x + 9 ← subtract x² + 6x + 9 from both sides
- 12x + y² = 0 ( subtract y² from both sides )
- 12x = - y² ( divide both sides by - 12 )
x =
y²
Answer:

Step-by-step explanation:
The equation of a line is given in the form 
Where
m is the slope with formula 
and
b is the y-intercept [y axis cutting point of line]
Given the two points (0, -2) and (6,0),
x_1 = 0
y_1 = -2
x_2 = 6
y_2 = 0
Now, we find m using formula:

Now we have

Finding b, we plug in any (x,y) point. Lets put (6,0) and find b:

Thus,
equation of line = 
Answer:
Step-by-step explanation:
For the first 30 hours, Andrew will earn 4(30) = $120. For each additional hour beyond 30 that Andrew works, he will earn 5(h - 30). Therefore, the function that gives Andrew's total wages when he works more than 30 hours is:
w = 120 + 5(h - 30).
So, if he works 35 hours, he will earn:
120 + 5(35 - 30) = 120 + 5(5) = 120 + 25 = $145.
If he works 42 hours, he will earn:
120 + 5(42 - 30) = 120 + 5(12) = 120 + 60 = $180.
I hope this helps!