Answer:
<u>The correct answer is C. 9 -√ 105/ 2, 9 + √ 105/ 2</u>
Step-by-step explanation:
Let's find the solutions for the quadratic equation:
x² = 9x + 6
x² - 9x -6 = 0
Using the quadratic formula, we have:
x = [- (-9) +/- √ (-9)² - 4 * 1 * -6]/2 * 1
x = [ 9 +/- √ (81 + 24]/2
x = [ 9 +/- √ (105]/2
x₁ = [ 9 + √ (105]/2
x₂ = [ 9 - √ (105]/2
<u>The correct answer is C. 9 -√ 105/ 2, 9 + √ 105/ 2</u>
Note: Same answer than question 14133688, answered by me today.
Answer: 4004ways
Step-by-step explanation:
Total number of Students =15
Total number of students to be on the committee =5
Since two members are of the same major and must not be on the committee, then we are left with choosing 5 people from just 14 People after we eventually remove one from those two students with same majors.
Hence to select 5 people from 14 people, we use the combination formula 14C5.
From the two students with same major we also use the combination Formula in knowing the number of ways any of the two students can be chosen. To choose one from these two students, we use the combination Formula 2C1.
Hence, the total number of ways to choose the committee of 5 and ensuring the two students with same major aren't on the committee becomes:
= 14C5 * 2C1
= 2002 * 2
= 4004ways.
Answer:
<2 = 90
Step-by-step explanation:
If the lines are perpendicular, the angles are 90 degrees
Answer:
x and y = 5√2.
Step-by-step explanation:
This is a 45:45:90 triangle so length of x = length of y.
In this triangle the ratio of the sides is 1:1:√2
Finding length of x and y:
1/√2 = x/10
√2x = 10
x = 10/√2
= 10√2/2
= 5√2.
Answer:
Step-by-step explanation:
