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:
X=-6
Step-by-step explanation:
It is true, how??Here is explanation:
Consider a quadrilateral ABCD .Join diagnol AC so two triangles ABC & ACD will form.
Sum of interior angles of ABC is 180 and that of ACD is 180 as well.So, the total sum of the interior angles of ABC & ACD is 360 which is the sum of interior angles of quadrilateral itself.
Isolate the y for both questions. Note that what you do to one side, you do to the other. Do the opposite of PEMDAS.
First question: x - 5y ≥ 3
First, subtract x from both sides
x (-x) - 5y ≥ 3 (-x)
-5y ≥ -x + 3
Divide -5 from both sides. Note that when you divide by a negative number, you flip the equation.
(-5y)/-5 ≥ (-x + 3)/-5
y ≤ (-x + 3)/-5
y ≤ x/5 - 0.6
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Do the same for the second one. Subtract x from both sides
x + y < 0
x (-x) + y < 0 (-x)
y < - x
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