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
7.) the equation of the circle is
(x - 3)^2 + (y - 4)^2 = 25
If you substitute the point in you get
(6-3)^2 + (8-4)^2 = 25
3^2 + 4^2 = 25
9 + 16 = 25
25 = 25
Both sides of the equation are the same so it proves it lies on the circle
8.) you add the x coordinates together and divide by 2
7 + 4 = 11
11/2 = 5.5
You use +7 because you need to find the midpoint.
You then add 5.5 to - 7 or - 5.5 from 4
-7 + 5.5 = - 1.5
You do the same for y coordinates
6+5 = 11
11/2 = 5.5
6-5.5 = 0.5
So the coordinates of Rachel's house are
(-1.5, 0.5)
Answer:
(4)($3)
Step-by-step explanation:
Given parameters:
Quantity of mushroom bought = 4.25pounds
Cost of each mushroom = $2.99
Unknown:
Best estimate for the cost of the mushroom = ?
Solution:
The cost of the mushroom is:
Total cost = quantity of mushroom bought x cost of each mushroom
Total cost = 4.25 x 2.99
You can round 4.25 to 4 and 2.99 to 3
Or 4 x 3 = $12
perimeter = 2width + 2 length
102 = 2(x+9) + 2x
102 = 2x + 18 +2x
102 = 4x +18
84 = 4x
21 = x
Length = x = 21 inches
Width = x + 9 = 21 + 9 = 30 inches
