Answer:
3:12 = 1:4
Step-by-step explanation:
3 cups of flour = 4 cups brown sugar
4 x 3 = 12
3:12 = 1:4 (simplest form)
Length of AB = 18. 92
Length of AC = 26. 15
Length of BC = 32. 552
<h3>How to determine the sides of the triangle</h3>
Using the Pythagorean theorem, we have that

Expand the bracket

Collect like terms


Make x^2 subject



Thus,
Length of AB = 20x -2 = 20(1. 046) - 2 = 18. 92
Length of AC = 25x = 25* 1.046 = 26. 15
Length of BC = 12x + 20 = 12(1. 046) + 20 = 32. 552
Learn more about isosceles triangles here:
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F(x)=|x-5|+2
plug it in
so f(3)
f3)=|3-5|+2
solve whats inside first
|-2|+2
since its absolute value its actually positive
2+2
4
Your answer is C.) 4
Answer:
See below.
Step-by-step explanation:
a.
O is the origin, so its abscissa is 0. O: 0
The only point 4 units from O is A, so A: 4
Point C has a positive abscissa like A.
Points B and C have opposite abscissas. The only opposites are -3 and 3, but C is positive, and B is negative.
B: -3
C: 3
D: -4.5
E: -6
M = (4 + (-6))/2 = -1. M: -1
b.
OB = |0 - (-3)| = |3| = 3
DA = |-4.5 - 4| = |-8.5| = 8.5
Answer:
Step-by-step explanation:
Assuming this integral:

We can do this as the first step:

Now we can solve the integral and we got:

![\int_{-\infty}^0 5 e^{60x} dx = \frac{e^{60x}}{12}\Big|_{-\infty}^0 = \frac{1}{12} [e^{60*0} -e^{-\infty}]](https://tex.z-dn.net/?f=%20%5Cint_%7B-%5Cinfty%7D%5E0%205%20e%5E%7B60x%7D%20dx%20%3D%20%5Cfrac%7Be%5E%7B60x%7D%7D%7B12%7D%5CBig%7C_%7B-%5Cinfty%7D%5E0%20%3D%20%5Cfrac%7B1%7D%7B12%7D%20%5Be%5E%7B60%2A0%7D%20-e%5E%7B-%5Cinfty%7D%5D)
So then we see that the integral on this case converges amd the values is 1/12 on this case.