Answer:
see below
Step-by-step explanation:
<em><u>sin(a+b) = sin(a)cos(b) + cos(a)sin(b)</u></em>
sin(π+q) = sin(π)cos(q) + cos(π)sin(q)
sin(π) = 0
cos(π) = -1
therefore
sin(π+q) = 0*cos(q) -sin(q) = -sin(q)
Answer: 2*2*11*11
Step-by-step explanation:
484 = 2 times 242 = 2 times 2 times 121 = 2 times 2 times 11 times 11.
"*" = mean multiply/times.
2*2*11*11
The interval over which the given quadratic equation decreases is: x ∈ (5, ∞).
<h3>How to find the interval of quadratic functions?</h3>
Usually a quadratic graph function decreases either when moving from left to right or moving downwards.
In the given graph, we can see that the coordinate of the vertex is (5, 4) after which the curve goes in the downward direction.
Thus, for the values of x greater than 5, the function decreases and so we conclude that the interval in which the quadratic equation decreases is: (5, ∞).
Read more about Quadratic functions at: brainly.com/question/18030755
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Answer:
The two ordered pairs you can use is (4, 3) and (8, 4). You can plot these and draw a straight line through these.
Step-by-step explanation:
In order to find the graph of the follow, first solve for y.
-8 + x = 4y - 16
-4y - 8 + x = -16
-4y -8 = -x - 16
-4y = -x - 8
y = 1/4x + 2
Now that we have this, we can find two points by choosing any two x's and solving for the y. For this case, we'll use 4 and 8.
y = 1/4x + 2
y = 1/4(4) + 2
y = 1 + 2
y = 3
So the first ordered pair is (4,3)
y = 1/4x + 2
y = 1/4(8) + 2
y = 2 + 2
y = 4
So the second would be (8. 4)
