Answer: 70°
<u>Step-by-step explanation:</u>
ΔVWX ≅ ΔNOP ⇒ ∠V=∠N, ∠W=∠O, and ∠X=∠P
Since ∠V=44° and ∠P=66°=∠X
then we can use the Triangle Sum Theorem:
∠V + ∠W + ∠X = 180°
44° + ∠W + 66° = 180°
∠W + 110° = 180°
∠W = 70°
Answer:
Step-by-step explanation:
Given that X is a normal random variable with parameters µ = 10 and σ 2 = 36,
X is N(10, 6)
Or z = 
is N(0,1)
a) P(X > 5),
=
(b) P(4 < X < 16),
=
(c) P(X < 8),
=
(d) P(X < 20),
=
(e) P(X > 16).
=P(Z>-0.6667)
= 0.2524
Answer:
Step-by-step explanation:
Collecting like terms and simplifying yields
Answer:
A, B and C
Step-by-step explanation:
example of B
-3×2/3 =-2
-2+2 =0
Y=1 and >0
A and C are also right
Edit: I changed my originally wrong answer, the second poster was right
Answer:
A) (-8, -16)
B) (0, 48)
C) (-4, 0), (-12, 0)
Step-by-step explanation:
A) the vertex is the minimum y value.
extremes of a function we get by using the first derivation and solving it for y' = 0.
y = x² + 16x + 48
y' = 2x + 16 = 0
2x = -16
x = -8
so, the vertex is at x=-8.
the y value is (-8)² + 16(-8) + 48 = 64 - 128 + 48 = -16
B) is totally simple. it is f(0) or x=0. so, y is 48.
C) is the solution of the equation for y = 0.
the solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac)) / (2a)
in our case here
a=1
b=16
c=48
x = (-16 ± sqrt(16² - 4×48)) / 2 = (-16 ± sqrt(256-192)) / 2 =
= (-16 ± sqrt(64)) / 2 = (-16 ± 8) / 2 = (-8 ± 4)
x1 = -8 + 4 = -4
x2 = -8 - 4 = -12
so the x- intercepts are (-4, 0), (-12, 0)
