Answer:
Step-by-step explanation:
Find the x-coordinate of the vertex with this formula:
In this case:
Substituting values, we get:
Now we can substitute the coordinates of the vertex into the equation and then solve for "c".
Then:
Answer:
y = 3
Step-by-step explanation:
The vertex of the parabola is (1,4) and the axis of the parabola is parallel to the positive y-axis.
So, the equation of the parabola will be (x - 1)² = 4a(y - 4) ....... (1)
Now, we have to get the value of a since the equation id the directrix is y = 4 - a.
Now, the parabola passes through the point (3,5) {Obtained from the graph).
Therefore, from equation (1), we get, 2² = 4a × 1, ⇒a = 1
Therefore, the equation of the directrix is y = 4 - 1 = 3. (Answer)
Answer
1: is a parellogram 2: parellogram, square, rectangle
Answer:
72°
Step-by-step explanation:
So the three angles of a triangle always add up to 180°. This means that
This becomes:
And solves as:
The largest angle has to be the one marked with 24x because it has the largest coefficient and x is a constant.
The measure of the largest angle in the triangle is 72°.
Answer:
q = 8
Step-by-step explanation:
Given the 2 equations
p + q = 36 → (1)
p - q = 20 → (2)
Add the 2 equations term by term
2p = 56 ( divide both sides by 2 )
p = 28
Substitute p = 28 into (1)
28 + q = 36 ( subtract 28 from both sides )
q = 8