What is the length of the diagonal of the square shown below?
2 answers:
Answer:
B.
Step-by-step explanation:
Hi there!
Notice how the diagonal splits the square into two right triangles. To find the length of the diagonal, we can use the Pythagorean theorem: where a and b are the legs of a right triangle and c is the hypotenuse, or the side opposite the right angle.
In this case, a is 5, b is 5 and we're trying to solve for c.
Plug in the known values
Simplify the radical
I hope this helps!
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Answer:
The average rate of change between x = 2 and x = 4 is of 4.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function f(x) in an interval [a,b] is given by:
In this question:
Thus:
Average rate of change:
The average rate of change between x = 2 and x = 4 is of 4.
Answer:
8
Step-by-step explanation:
0) the basic formula is: L=v*t, where L - distance, v - speed/velocity; t - time;
1) if the person's speed in still water is 'v' and the speed of water is 5 (according to the condition), then the upstream speed is 'v-5' and the downstream speed is 'v+5';
2) according to the condition the upstream time and the downstream time are the same, it means t₁=t₂=t, where t₁=upstream time and t₂=downstream time;
3) according to the items above it is possible to make up the equation of the upstream travel: t(v-5)=3; ⇒ t=3/(v-5);
4) according to the items above it is possible to make up the equation of the downstream travel: t(v+5)=13; ⇒ t=13/(v+5);
5) if t=3/(v-5) and t=13/(v+5), then