Answer:
(-2, 5)
Step-by-step explanation:
The form you're trying to match is the vertex form of the equation of a parabola:
y = a(x -h)^2 +k . . . . . . . vertex (h, k)
You have ...
y = -4(x +2)^2 +5
Comparing forms, you see that a=-4, h=-2, k=5.
Then the vertex (h, k) is (-2, 5).
Answer:
3789
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
5x-4=3x+8
solve for x
2x=12
x=6
Answer:
104 degrees'
Step-by-step explanation:
Find the diagram attached
According to the theorem;
Angle at the vertex is half the angle at its intercepted arc
Given
Angle at the vertex = 52 degrees
Angle at the intercepted arc = arc QR
Hence;
52 = 1/2 arcQR
Cross multiply
52 * 2 = arcQR
104 = arc QR
Swap
arc QR = 104 degrees'
Answer:
QR = 7.6 cm
Step-by-step explanation:
By theorem of tangents drawn from an external point to a circle,
"Tangents drawn from an external point to a circle are equal in measure"
By this property,
PQ = PT = 3.8 cm
And PR = PT = 3.8 cm
Since, QR = PQ + PR [By segment addition postulate]
QR = 3.8 + 3.8
QR = 7.6 cm
