Answer:
Solution given
Cos I=adjacent/hypotenuse=16/34
<u>8</u><u>/</u><u>1</u><u>7</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u>
Answer:
A translation and then a reflection
Step-by-step explanation:
A translation of 5 to the left, and then a a reflection across the x axis.
So the answer will be 15-19 one of those numbers so 15 16 17 18 or 19
Answer:
![3 + \frac{1}{2\sqrt{3} } + \frac{1}{5\sqrt[5]{81} }](https://tex.z-dn.net/?f=3%20%2B%20%5Cfrac%7B1%7D%7B2%5Csqrt%7B3%7D%20%7D%20%2B%20%5Cfrac%7B1%7D%7B5%5Csqrt%5B5%5D%7B81%7D%20%7D)
Step-by-step explanation:
Just to make it easier to see,
and
This way we could more easily use the power rule of derivatives.
So if f(x) =
then f'(x) will be as follows.
f'(x) = ![x^{1} +\frac{1}{2} x^{-\frac{1}{2} } +\frac{1}{5} x^{-\frac{4}{5} } = x +\frac{1}{2x^{\frac{1}{2} }} +\frac{1}{ 5x^{\frac{4}{5} }} = x +\frac{1}{2\sqrt{x}} +\frac{1}{ 5\sqrt[5]{x^4} }](https://tex.z-dn.net/?f=x%5E%7B1%7D%20%2B%5Cfrac%7B1%7D%7B2%7D%20x%5E%7B-%5Cfrac%7B1%7D%7B2%7D%20%7D%20%2B%5Cfrac%7B1%7D%7B5%7D%20x%5E%7B-%5Cfrac%7B4%7D%7B5%7D%20%7D%20%3D%20x%20%2B%5Cfrac%7B1%7D%7B2x%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%7D%20%2B%5Cfrac%7B1%7D%7B%205x%5E%7B%5Cfrac%7B4%7D%7B5%7D%20%7D%7D%20%3D%20x%20%2B%5Cfrac%7B1%7D%7B2%5Csqrt%7Bx%7D%7D%20%2B%5Cfrac%7B1%7D%7B%205%5Csqrt%5B5%5D%7Bx%5E4%7D%20%7D)
to find f'(3) just plug 3 into f'(x) so ![3 + \frac{1}{2\sqrt{3} } + \frac{1}{5\sqrt[5]{81} }](https://tex.z-dn.net/?f=3%20%2B%20%5Cfrac%7B1%7D%7B2%5Csqrt%7B3%7D%20%7D%20%2B%20%5Cfrac%7B1%7D%7B5%5Csqrt%5B5%5D%7B81%7D%20%7D)
Answer:
x = 14
y = 4
Explanation:
Ok so, just from looking at the two triangles i can tell they're congruent right triangles. I used different colors to show which sides of the triangle correspond and are equal to each other in my attatched photo.
So the side thats equal to x is the same length as the side that's equal to y+10 on the other triangle.
So we can write the equation x = y + 10.
Using this same method, the side that's equal to x + 2 is the same length as the side that's equal to 4y on the other triangle.
So, we can write the equation 4y = x + 2.
Now we have the equations
you could rewrite to be in slope- intercept form so they're easier to graph. But a graphing calculator online would plot it just fine.
If you graph these two equations they'll intersect at the solution ( 14, 4 ). I'll include the graph in my images as well.
To check your answer, you can plug in x and y and see if the triangle sides end up being the same length. I did and it was correct.