Y varies directly with x m eans
y=kx where k is constant
y=40
x=16
find k
40=k16
divide both sides by 16
5/2=k
y=5/2x
y=-5 find x
-5=5/2x
times 2/5 both sides to cancle fraciton (5/2 times 2/5=10/10=1)
-10/5=x
-2=x
x=-2
We will calculate it like this, We will make a right angle triangle by adding one new point called O for example, and O is located right under the point C, and on the right side of point D, so the coordinated for this point are O (8, -2). From there, length CD is calculated using the Pythagorean theorem, because we know that the CO = 4 and DO = 4, so:
CD^2 = CO^2 + DO^2
CD^2 = 4^2 + 4^2
DC^2 = 16 + 16
DC^2 = 32
DC = square root of 32 = square root of 16 * square root of 2
DC = 4 * square root of 2
The correct answer is B. 4*square root of 2.
Answer:
Let
, we proceed to prove the trigonometric expression by trigonometric identity:
1)
Given
2)

3)
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5) 
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Result
Step-by-step explanation:
Let
, we proceed to prove the trigonometric expression by trigonometric identity:
1)
Given
2)

3)
4)

5) 
6)

7)
Result
The absolute value of x is greater than 1/2, meaning that x is either greater than 1/2 or x is less than -1/2 (in this case, even though the numbers are decreasing or getting more negative, their absolute values are greater than 1/2). this is all i can tell you because you didnt give me any graphs.