This expression is easier than it looks like. I thought that to solve it you have for example to express the 2 via 10 * 5^-1 and stuff like that - but you can multiply and divide this expression by some factor. In our case first we multiply by conjunctive expression root(5-2root2) and the second by root(6+2root5). In first we get root16 and the second calculate.
Answer:
(5/2)√13 ≈ 9.0139
Step-by-step explanation:
The longer hypotenuse is found using the Pythagorean theorem as ...

The right triangles are AA similar, and vertical sides correspond. Their ratio, smaller/larger is 5/8. That means the hypotenuse of the smaller triangle, A, is 5/8 of the hypotenuse of the larger one.

The question is incomplete. If its asking you to find the value of f(x) relative to the value of x they give you, just replace x for the value, do the math and that'll give you the value for f(x)
The correct answer is A) y - 4 = -2/5(x + 1)
We know this because of the basic form of point slope form, which is shown below.
y - y1 = m(x - x1)
In which the point (x1, y1) is on the graph and m is the slope. When counting the slope, we can see that it is -2/5 based on the fact that for every two spaces the graph travels down, it moves to the right five. This eliminates options C and D and gives us this form to work with.
y - y1 = -2/5(x - x1)
Now we have the point (-1, 4), so we can plug this in to match it with a formula.
y - 4 = -2/5(x - -1)
y - 4 = -2/5(x + 1)
Answer:
B: Step 2; 6x − 8 = 12 + 2x
Step-by-step explanation:
the student added 2 x 4 during the distributive property but you must multiply so you get 8 rather than 6.