Answer:
45
Step-by-step explanation:
The order in which the items are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
How many possible subsets of 2 items can be chosen from this lot?
Combinations of 2 from a set of 10. So
9514 1404 393
Answer:
2
Step-by-step explanation:
The curve's highest value is -1.
The curve's lowest value is -5.
For a symmetrical wave like this*, the amplitude is half the difference between the highest and lowest values:
1/2(-1 -(-5)) = 2
The amplitude is 2.
_____
* There is no general agreement as to how to compute the amplitude when the wave is asymmetrical. Some authors use the same formula. Some consider the amplitude to be the maximum deviation from average. Some define only a "peak-to-peak" amplitude in those cases. The meaning of "amplitude" in those cases depends on the context in which the question is asked.
The right to be heard and the right to redress.
Perimeter (P) = 2L + 2w
68 = 2L + 2w
68 - 2L = 2w
2(34 - L) = 2(w)
34 - L = w
********************
Area (A) = L * w
240 = L (34 - L)
240 = 34L - L²
L² - 34L + 240 = 0
(L - 10)(L - 24) = 0
L = 10 or L = 24
w = 34 - L = 34 - 10 = 24 or w = 34 - 24 = 10
Answer: width = 10, length = 24 assuming length is bigger than the width
Answer:
The solutions to the quadratic equations are:
Step-by-step explanation:
Given the function
substitute y = 0 in the equation to determine the zeros
Switch sides
Add 4 to both sides
Simplify
Rewrite in the form (x+a)² = b
But, in order to rewrite in the form x²+2ax+a²
Solve for 'a'
2ax = -6x
a = -3
so add a² = (-3)² to both sides
Apply perfect square formula: (a-b)² = a²-2ab+b²
solve
Add 3 to both sides
Simplify
now solving
Add 3 to both sides
Simplify
Thus, the solutions to the quadratic equations are:
