Because the focus is (-2,-2) and the directrix is y = -4, the vertex is (-2,-3).
Consider an arbitrary point (x,y) on the parabola.
The square of the distance between the focus and P is
(y+2)² + (x+2)²
The square of the distance from the point to the directrix is
(y+4)²
Therefore
(y+4)² = (y+2)² + (x+2)²
y² + 8y + 16 = y² + 4y + 4 + (x+2)²
4y = (x+2)² - 12
y = (1/4)(x+2)² - 3
Answer:
Answer:
85°
Step-by-step explanation:
The exterior angle of a triangle is=sum of the opposite interior angles
So
? °=45°+40°
Answer:
405.80
Step-by-step explanation:
So, we know Carlos ran 21 miles per week, for 12 weeks....
That makes 21 mi/wk x 12 weeks = 252 miles.
Then we know each km is 0.621 mile.
So, we divide 252 miles by 0.621 mile/km to get= 405.80 km
Dividing miles by miles/km gives us the unit we want (km).
<u>There was a trap in this question,</u> because if instead of dividing the 252 miles by 0.621 you would have multiplied it, you would have gotten another answer listed... just not the right one. :-)
Answer:
y=3
Step-by-step explanation:
(i used point-slope form which is (y1-y2)=m(x1-x2))
(10-y)=7(4-3)
10-y=7
-y=-3
y=3
If two fractions have the same denominator, the fraction with the larger numerator is the larger number.