y = -13, 13
There are two answers because you are taking the square root of a number. If we go the other way, to check our work, (-13)^2 = 169 and (13)^2 = 169.
Hope this helps! :)
Let P(x,y) be a point on the parabola. The definition of a parabola is the squared distance from P to focus F(2,2) equals the squared distance to the directrix x=8.
squared distance from P(x,y) to focus F(2,2)
(x - 2)² + (y - 2)²
squared distance from P(x,y) to the directrix x=8.
(x-8)²
Those are equal in a parabola,
(x - 2)² + (y - 2)² = (x-8)²
x² - 4x + 4 + y² - 4y + 4 = x² - 16x + 64
y² - 4y - 46 = -12x
That's a sideways parabola,
x = -(y² - 4y - 46)/12
Answer:
Television = $200 and DVD player = $450
Step-by-step explanation:
→ Make 2 equations
Televisions = t and DVD players = d
2t + 3d = 1750
4t + d = 1250
→ Multiply the bottom equation by 3 to make the same variable of d
2t + 3d = 1750
12t + 3d = 3750
→ Minus the two equations to isolate the d variable
-10t = -2000
→ Divide both sides by -10 to find the cost of one television
t = 200
→ Substitute t = 200 back into 4t + d = 1250
800 + d = 1250
→ Minus 800 from both sides to isolate d
d = 450
Answer:
10:46
Step-by-step explanation:
8:30 + 136 min.
= 8:30 + 2:16
= 10:46
1/2k + 6 = 4k - 8
1/2k - 4k = -8 - 6
1/2k - 8/2k = -14
-7/2k = -14
k = -14 * - 2/7
k = 28/7 which equals 4
