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:
4 units long.
Step-by-step explanation:
The 2 legs of an isosceles right angles triangle are equal .
So the area = 1/2 * x^2 where x = length of a leg.
1/2x^2 = 4
x^2 = 8
x = √8
So the length of the hypotenuse is found using the Pythagoras theorem:-
h^2 = (√8)^2 + (√8)^2
h^2 = 16
h = 4 (answer).
Answer:
x = 55
y = 70
Step-by-step explanation:
since it's all sides are equal its an equilateral triangle
each angle of an equilateral triangle is 60°
therefore,
y - 10 = 60 => y = 60 + 10
y = 70
x + 5 = 60 => x = 60 - 5
x = 55
Answer:
m<EAD=29°
m<CAB=119°
Step-by-step explanation:
Angles on a straight line sum up to 180°
This implies that,
61°+90°+EAD=180°
151°+EAD=180°
Subtracting 151° from both sides,we obtain,
EAD=180°-151°
EAD=29°
Angles on a straight line add up to 180°.
This implies that,
CAB+61°=180°
Subtracting 61° from both sides,we obtain
CAB=180°-61°
CAB=119°
Thus,m<EAD=29° and m<CAB=119°
Answer:
(x+5)
Step-by-step explanation:
Here, (x + 5) matches your answer choices