Answer:
If it's: Find the value of the constant.
=
5
f
Step-by-step explanation:
If ∠1 and ∠4 are the complementary angles, then m∠1 + m∠4 =90°.
We have m∠1 = 33°.
Therefore
m∠4 = 90° - 33° = 57°
If ∠3 and ∠2 are supplementary angles, then m∠2 + m∠3 = 180°.
We have m∠2 = 147°.
Therefore
m∠3 = 180° - 147° = 33°
Wow! I never had problems this hard in middle school!
But you can do it!
First, we need to figure the number of flips Sara can do based on Jenny's.
Jenny = 120 and Sara - 120 x 3/8 (because she is only 3/8 of Sara's)
Calculate 120 x 3/8 = 45 flips
Now we know that Sara increased her amount of flips by 3 (45 +3 = 48)
And we know that Jenny decreased hers by 12 (120 - 12 = 108)
So now we have a ratio of 48:108, but we need to simplify that with factoring.
I am going to divide first by 2.
24:54
Then 2 again...
12:27
How about 3?
4:9
I think that is as far as we can go.
Sara is now doing 4 out of every 9 that Jenny does.
Check it!
108 (Jenny) x 4/9 = 48 (Sara) Yes! It checks.
Answer:
-√(1 - 2x) + C
Step-by-step explanation:
1/√(1-2x)
We want to integrate it. Thus;
∫1/√(1 - 2x) dx
Let u = 1 - 2x
Thus;
du/dx = -2
Thus, dx = -½du
Thus,we now have;
-½∫1/√(u) du
By application of power rule, we will now have;
-½∫1/√(u) du = -√(u) + C
Plugging in the value of u, we will have;
-√(1 - 2x) + C
