Adjacent Angles<span> are </span>two angles<span> that share a common vertex, a common side, and no common interior points. (They share a vertex and side, but </span>do<span> not overlap.) A </span>Linear Pair<span> is </span>two<span> adjacent</span>angles<span> whose non-common sides </span>form<span> opposite rays. ... ∠1 and ∠3 are not </span>vertical angles<span> (they are a </span>linear pair<span>).</span>
Answer: The correct factors are
(x-1) and (x+2)
Step-by-step explanation:
Step one :
To factorize the equation
x²– x – 2=0
First we look for numbers that when multiplied will result to the constant term and when added will result to the second term (1x, - 2x)
Step two :
We replace the second term with these factors we have
x²–(x-2x)–2=0
x²–x+2x–2=0
Factoring the expression we have
x(x–1)+2(x–1)=0
Hence the factors will be
(x-1) and (x+2)
G(x) = 3x + 4
g(-4) = 3(-4) + 4
g(-4) = -12 + 4
g(-4) = -8
A) 22
4 (22) + 6
88 + 6 = 94
B) 23
4 (23) + 6
92 + 6 = 98
C) 24
4 (24) = 96
96 + 6 = 102
So the answer is B because it is the highest value that can be put into the equation without raising the number to above 100
Refer to the diagram shown below. It shows a vertical cross-section of the paraboloid through its axis of symmetry.
Let the vertex of the parabola be at the origin. Then its equation is of the form
y = bx²
Because the parabola passes through (18,8), therefore
8 = b(18²)
b = 0.02469
The parabola is y = 0.02469x².
The receiver should be placed at the focal point of the paraboloid for optimal reception.
The y-coordinate of the focus is
a = 1/(4b) = 1/0.098765 = 10.125 in
Answer: The receiver is located at 10.125 inches from the vertex.