Answer:
-7
Step-by-step explanation:
Given
Required
The first difference
To do this, we simply calculate the difference between the consecutive y-values.
i.e.
So, we have:
<em>Hence, the first differences are -7 (all through)</em>
When we use arcsine, we are finding the angle while giving the trigonometric ratio.
Arcsin(u) = theta can be rewritten as:
sin(theta) = u
Sine is opposite over hypotenuse, so u/1 means that the side opposite to theta (the y value) is u, and the hypotenuse is 1.
We can use Pythagorean Theorem to find the adjacent (x value).
1^2 - u^2 = x^2
x = sqrt(1-u^2)
Back to the original question, we are trying to find cos(arcsin(u)). We just solved all the sides for our triangle using arcsin(u). Now we need to do cos(u).
Cosine is adjacent over hypotenuse.
So our answer is sqrt(1-u^2)/1
Or just sqrt(1-u^2)
Answer:
Step-by-step explanation:
y=mx+b where m=slope and b=y intercept
m=(y2-y1)/(x2-x1)
m=(-2-4)/(2+1)
m=-2 so far we have the slope
y=-2x+b, using point (2,-2) we can solve for b, the y intercept
-2=-2(2)+b
-2=-4+b
2=b so we have our line
y=-2x+2, slope is -2 and y intercept is 2
Answer:
1/4, 3/5, 8/10
Step-by-step explanation:
3/5 is greater than 1/4
(2/4 is equal to 2.5/5---that should give you a visual picture why)
8/10 is greater than 3/5
3/5 multipled by 2 is 6/10
so, 6/10<8/10
Answer:
A≈351.86 or rounded to the nearest tenth, 351.9.
