Answer:
Step-by-step explanation:
The vertex form of a parabola is given by y = a(x - h)^2 + k, where (h, k) is the vertex.
Given vertex at (2,-3), h = 2, k = -3
y = a(x - 2)^2 + (-3) = a(x - 2)^2 - 3
The parabola passes through (0,5) so
5 = a(0 - 2)^2 - 3
5 = 4a - 3
4a = 8
a = 2
The parabola equation in vertex form:
y = 2(x - 2)^2 - 3
Answer:
nope i actually hate it
Step-by-step explanation:
Answer:
A). PR = 16.13 ft
B). QR = 9.64 ft
Step-by-step explanation:
Part (A).
From the figure attached,
ΔPQR is a right triangle,
m(PQ) = 14 ft
m(QR) = 8 ft
By applying Pythagoras theorem,
Hypotenuse² = (Leg 1)² + (Leg 2)²
(PR)² = (PQ)² + (QR)²
(PR)² = (14)² + (8)²
PR = √260
= 16.125
≈ 16.13 ft
Part (B).
If PR = 17 feet
and PQ = 14 feet
By applying Pythagoras theorem in ΔPQR,
PR² = PQ² + QR²
(17)² = (14)² + (QR)²
(QR)² = 289 - 196
QR = √93
= 9.644
≈ 9.64 ft
Answer:
D. 105 students and 150 guests
Step-by-step explanation:
105 students and $1 for each ticket is $105.(105 x 1 = 105)
150 guests and $5 for each ticket is $750.(150 x 5 =750)
$105 + $750 = $855
Answer:
-31
Step-by-step explanation:
2x - abs(4 - 7x)
2x = 2 * - 3 = - 6
4 - 7x = 4 - 7*-3 = 4 + 21 = 25
-6 - abs(25)
-6 - 25 = -31
You should note three things.
1. the absolute value of 25 is 25
2. There is a - sign outside the influence of the 25 so 25 becomes - 25
3. - 6 - 25 = - 31
