Which ordered pair is a solution of the linear system: x+2y=-8 and
1 answer:
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Answer:
When x = 0, then y = -2
When y = 0, then x = 4
Step-by-step explanation:
We are given with the following equation;
x - 2y = 4
Now, we have to find the respective values of x and y for each value of x = 0 and y = 0.
Firstly, putting the value of x = 0;
x - 2y = 4
0 - 2y = 4
-2y = 4
y = = -2
This means that when x = 0, then y = -2.
Similarly, putting the value of y = 0;
x - 2y = 4
x - 0 = 4
x = 4
This means that when y = 0, then x = 4.
Answer:
Step-by-step explanation:
Just by looking at the graph vertically and horisontally, you can tell what the range and domain is, depending on whether the segments are <em>closed</em> or <em>opened</em>.
* This is a function because it passes the <em>vertical</em><em> </em><em>line test</em>.
** This is kind of like a sine wave.
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Answer: see proof below
<u>Step-by-step explanation:</u>
Given: A + B + C = π → C = π - (A + B)
→ sin C = sin(π - (A + B)) cos C = sin(π - (A + B))
→ sin C = sin (A + B) cos C = - cos(A + B)
Use the following Sum to Product Identity:
sin A + sin B = 2 cos[(A + B)/2] · sin [(A - B)/2]
cos A + cos B = 2 cos[(A + B)/2] · cos [(A - B)/2]
Use the following Double Angle Identity:
sin 2A = 2 sin A · cos A
<u>Proof LHS → RHS</u>
LHS: (sin 2A + sin 2B) + sin 2C
LHS = RHS: 4 cos A · cos B · sin C = 4 cos A · cos B · sin C
