<u>Given</u>:
The given triangle is a similar triangle.
The length of the hypotenuse is 18 units.
The length of the leg is a.
The length of the part of the hypotenuse is 16 units.
We need to determine the proportion used to find the value of a.
<u>Proportion to find the value of a:</u>
We shall find the proportion to determine the value of a using the geometric mean leg rule.
Applying the leg rule, we have;
Substituting the values of hypotenuse, leg and part, we get;
Thus, the proportion used to find the value of a is
Hence, Option D is the correct answer.
Answer with Step-by-step explanation:
We are given that a function f(x) is continuous on ().
1.f'(-1)=0 and f''(-1)=-7
We have to find information about f.
When f'(-1)=0 and f''(-1)=-7 < 0
Then, function is maximum at x=-1.
Therefore, at x=-1, f has local maximum.
Answer:a)at x=-1 ,f has local maximum.
2.) if f'(4)=0 and f''(4)=0
We know that when f''(x)=0 then test fails then the function has not maximum or minimum.
Therefore, at x=4 , f has not a maximum or minimum.
Answer:c) at x=4, f has not a maximum or minimum.
We can see that 2x - 8x + x = -5x
and -6y + 11y = 5y
and 9 - 14 = -5
so simplified, it is -5x + 5y - 5
Answer:
30 students
Step-by-step explanation:
24 over 80 is equal to x over 100
cross multiply and you get
80x =240
divide 80 on both sides
you get 3
add an extra sero
The answer is 2(2x-3)
Explanation: First you multiple 5 and 2 getting you ten
4x-10+4
Then you add -10 and 4 to get -6
4x-6
Finally you factor out the number to and divide both the 4 and -6
2(2x-3)