46 is your correct answer bc 30 plus 16 is 46
y(x)=sin^2 (x/4)+12sin(x/4)
y(x) = sin^2(x/7) +16sin(x/7)
From the Chain Rule,
y'(x) = 2sin(x/4)*(1/4)cos(x/4) + 12(1/4)cos(x/4).
At x=4pi, the slope of the tangent line is
y'(4pi) = 2sin(4pi/4)*(1/4)cos(4pi/4) + 12(1/4)cos(4pi/4).
= 2sin(pi)*(1/4)cos(pi) + 12(1/4)cos(pi)
= 2(0)(1/4)(-1) + 12(1/4)(-1)
= -3
The angle (in radians) that the tangent line makes to the
positive x-axis is
pi - arctan(3)= 1.249 rad =71.565 degree
Answer: 7a
Step-by-step explanation: Since they are like terms, you can just add or subtract them.
4a - 5a = -1a
2a + 6a = 8a
-1a + 8a = 7a
Answer:
X ≥ 2
Step-by-step explanation:
You are given a parallelogram <span>ABCD</span> with the following Cartesian plane coordinates:<span>A:(−7,3)</span><span>B:(−5,7)</span><span>C:(1,7)</span><span>D:(−1,3)</span>and are asked to provide a parallelogram <span><span>A′</span><span>B′</span><span>C′</span><span>D′</span></span> that is congruent to it. The easiest way to do this is to perform a simple shift (either upward or downward) of your original figure. Let us perform a downward shift of 1 unit on it for simplicity:<span><span>A′</span>:(−7,2)</span><span><span>B′</span>:(−5,6)</span><span><span>C′</span>:(1,6)</span><span><span>D′</span>:(−1,2)</span>Parallelogram <span><span>A′</span><span>B′</span><span>C′</span><span>D′</span></span> is congruent to parallelogram <span>ABCD</span><span> because their corresponding sides and angles are equal.</span>