Answer:
Option D is correct.
1/4 completes the square.
Step-by-step explanation:
To complete the square for a quadratic function, we require a third term that will enable the solutions of the quadrstic equation to be 2 repeated roots.
For that to be so for the quadratic equation
ax² + bx + c = 0,
b² has to be equal to 4ac
For this question, x² - x + c
From b² = 4ac
c = (b²/4a)
a = 1
b = -1, b² = 1
c = ?
c = (1/4)
Hence, (1/4) is the number that must be added to the expression to complete the square.
Hope this Helps!!!
Answer:
height: 7 in
base: 14 in
Step-by-step explanation:
Let the height of the triangle equal x. This means that the base can be represented by the expression 2x. Now we plug these values into the area formula for a triangle:
A = bh / 2
49 = x * 2x / 2
And simplify
49 = x^2
We can find the square root of both sides to get x = 7, so the height is 7 inches. Since the base is twice the height, it is 14 inches.
Given:
Total number of students = 10
To find:
How many was can you award first, second, and third place?
Solution:
Total number of students is 10. So, the total possible ways for the first award is 10.
We know that one student can hold only one place. So, after giving the first award, the number of remaining students is 9 and the total possible ways for the second award is 9.
Similarly, the total possible ways for the third award is 8.
Now, the total number of ways to award first, second, and third place is:
Therefore, the total number of ways to award first, second, and third place is 720.
Answer:
This is so easy.
Step-by-step explanation:
I'm pretty sure yk the answer:)
Answer:
C
Step-by-step explanation:
This is because
7:5 =
84:60
You multiply both by 12, and get the ratio 84:60
Hope that helps!
