Given that y varies inversely with x, then:
y=k/x
where
k is the constant of proportionality:
k=yx
hence, given that x=28 when y=2, then the value of k will be:
k=28×2
k=56
Answer: k=56
Answer:
y-3= -3.(x+10)
Step-by-step explanation:
Answer:
x=24
y=10
z=17
Step-by-step explanation:
These triangles are congruent, which means that the corresponding angles are equal to each other.
Let's start with <em>x</em>. Angle H corresponds to angle N, so we set them equal to each other and slove.
x=24
Next, let's look at z. Angle C corresponds to angle P, so again we set them equal. Z=17.
Finally, we must find y. F and S correspond, but we don't know what the measure of angle S is, but we do know that the interior angles of a triangle add up to 180 degrees, so we solve for angle S and get 115°.
180-(36+115)=29
We now know that angle F equals 29. From solving, we know that Y=10.
<u>Hope this helps :-)</u>
<u>Work is shown (attached)</u>
<u />
Answer:
6 cups
Step-by-step explanation:
We can use ratios to solve
1 cup lemon 3 cups lemon
------------------- = ---------------
2 cups sugar x cups sugar
Using cross products
1 * x = 2 * 3
x = 6
Limit definition of Derivative of a function at x=a : :
lim (f(a+h)-f(a))/h =
h->0
From limit definition i need just h in the denominator, so i can substitute, h = x-pi/4 as
x -> pi/4, h ->0
also x = pi/4+h
Comparing this with limit definition f(a+h) and tan (pi/4+h), we can figure out , f(x) = tan x , and a = pi/4. I hope that this is the answer that you were looking for and it has helped you.