Answer:
Option 1. Down 2, right pi over 3.
Step-by-step explanation:
In a given function f(x) = -7 sin(3x+π)-2 we have to find the shift horizontally and vertically.
As we know in a sine equation represented as y = a sin(bx+c) +d
Amplitude of the wave = a
Period = 
Horizontal shift = 
Vertical shift = d
From the given sine function we can get the following values
a = 7
period = 
horizontal shift = 
in the right side since it's with positive sign.
Vertical shift = -2 down with 2 ( since it's with negative sign)
Therefore Option 1 is the correct one.
Answer:
how long the question is oh god
Answer:
To avoid confusion in using the word "particle," one must state that a particle is an identifiable part of dust, a molecule, an atom, or an electron. This means that particles form these elements.
Step-by-step explanation:
For example, atoms are made up of three particles: protons, neutrons and electrons. These particles are each composed of even smaller particles known as quarks. Since quarks cannot be broken down further, they are the smallest particles known to mankind.
Answer:
x = 2
Step-by-step explanation:
because m || n, you can assume the two angles are congruent.
set them equal to each other:
5x - 4 = 4x - 2
<u>solve</u>
add 4 to both sides: 5x + (-4 + 4) = 4x + (-2 + 4) --> 5x = 4x + 2
subtract 4x from both sides: (5x - 4x) = (4x - 4x) + 2 --> x = 2
The theorem would be: If in a triangle two angles equal one another, then the sides opposite the equal angles also equal one another.
This works for any triangle in fact, not just an isosceles (obviously, the theorem implies that the triangle in question is isosceles but you don’t need to know that in advance)
