Answer:
Step-by-step explanation:
Answer:
15 ways
Step-by-step explanation:
We are given that a set S={E,F,G,H,J}
We have to find the number of ways to select two members from S with repetition.
Combination formula

We have n=5 , r= 2
Number of ways in which two members from S can be selected when repetition is not allowed=
Number of ways in which two members from S can be selected when repetition is not allowed=![\frac{5\times4\times3!}{2\times1 3!]](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Ctimes4%5Ctimes3%21%7D%7B2%5Ctimes1%203%21%5D)
Number of ways in which two members from S can be selected when repetition is not allowed=
When a member repeat then combination
{E,E},{F,F},{G,G},{H,H},{J,J}
There are 5 combination when a member is repeat and select two members from S.
Total number of ways in which to select two members from S with repetition =10+5=15 ways
So in your question that ask to calculate the length of 2nd avenue between 18th Street and 17th Street, to nearest foot. Base on my calculation, I came up with an answer of C. 671 ft. I hope you are satisfied with my answer and feel free to ask for more clarifications.
Answer:
<em>x = 1 + ( √ 10 )/ 2, or x = 1 - ( √ 10 )/ 2; Option A</em>
Step-by-step explanation:
See steps below;
I would prefer answering this question by completing the square, rather than applying a quadratic formula;
3x^2 - 6x - 12 = 0, ⇒ Add 12 to either side,
3x^2 - 6x = 12, ⇒ Divide either side by 3,
x^2 - 2x = 4, ⇒ Write the equation in the form x^2 + 2ax + a^2 = (x + a)^2,
x^2 - 2ax + a^2 = 4 + a^2, ⇒ Solve for a
2ax = -2x,
a = - 1, ⇒ Substitute value of a,
x^2 - 2x + 1 = 4 + 1,
( x - 1 )^2 = 5, ⇒ Solve for x,
x = √5 + 1, and x = - √5 + 1,
In other words; <em>Solution : x = 1 + ( √ 10 )/ 2, or x = 1 - ( √ 10 )/ 2; Option A</em>