Sedimentary rocks for the first one I think
Answer:
20? i am not positive
Step-by-step explanation:
Use the double angle identity:
sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)
Now rewrite
sin(2<em>x</em>) sin(<em>x</em>) + cos(<em>x</em>) = 0
as
2 sin²(<em>x</em>) cos(<em>x</em>) + cos(<em>x</em>) = 0
Factor out cos(<em>x</em>) :
cos(<em>x</em>) (2 sin²(<em>x</em>) + 1) = 0
Consider the two cases,
cos(<em>x</em>) = 0 OR 2 sin²(<em>x</em>) + 1 = 0
Solve for cos(<em>x</em>) and sin²(<em>x</em>) :
cos(<em>x</em>) = 0 OR sin²(<em>x</em>) = -1/2
Squaring a real number always gives a non-negative number, so the second case doesn't offer any real solutions. We're left with
cos(<em>x</em>) = 0
Cosine is zero for odd multiples of <em>π</em>/2, so we have
<em>x</em> = (2<em>n</em> + 1) <em>π</em>/2
where <em>n</em> is any integer.
The y-intercept in the equation in the form y = mx + b is b.
To find the y-intercept in x - y = -1, isolate y on the left-hand side:
x - y = -1
-y = -x - 1
y = x + 1
b in this equation is 1, so the y-intercept is 1.
Hope this helps.
If u were to draw this out, u would have the shape of a right triangle....with the legs being 3 miles and 4 miles......and a straight line would be the hypotenuse. So we use the pythagorean theorem.
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
sqrt 25 = c
5 = c
so Jimmy is 5 miles from home