X=45, if we use subtraction we see that 60-15 is 45 or X
Answer:
x² - 9x + 14 by completing the square is (x - 9/2)² - 25/4
Step-by-step explanation:
Given x² - 9x + 14
To rewrite by completing the square, we need to write this in the form (a + b)² or (a - b)² without changing the value of the expression.
(a + b)² = a² + 2ab + b² (equation 1)
(a - b)² = a² - 2ab + b² (equation 2)
x² - 9x + 14 = x² - 2(x)(9/2) + (9/2)² - 25/4 (equation 3)
Comparing (equation 3) with (equation 1) and (equation 2), we can see that it takes the form of (equation 1), though, surplus of 25/4, where a = x, and b = 9/2.
So
x² - 2(x)(9/2) + (9/2)² = x² - 2(x)(9/2) + 81/4 = (x - 9/2)²
Which means
x² - 9x + 14
= x² - 2(x)(9/2) + 81/4 - 25/4
= x² - 2(x)(9/2) + (9/2)² - 25/4
= (x - 9/2)² - 25/4
And the square is completed.
Answer:
5.414
Step-by-step explanation:
Formula to find circumference is 3.14 x 2r
So we can create a algebraic expression.
3.14 x 2r = 34 / 3.14 = 10.828 / 2 = 5.414
Answer:
The third angle is equal to 98 degrees.
Step-by-step explanation:
All the angles add up to 180.
180 - (41 + 41) = 98
Answer:
To complete the required $m dollars for her college, she needs $(m - 60,000).
Step-by-step explanation:
Suppose Rebecca needs $m to complete her college education,
because she has a yearly scholarship of $10,000, she would have $10,000 × 4 = $40,000 for the four years she would spend in college.
Together with her savings of $20,000, she has $20,000 + $40,000 = $60,000 in total.
Therefore to complete the required $m dollars for her college, she needs $(m - 60,000).
