We have
x² + 24x = 17 (1)
Note that
(x + 12)² = x² + 24x + 144
By adding 144 to the left side of equation (1), it becomes a perfect square.
Therefore
x² + 24x = (x+12)² - 144 (2)
Substitute (2) into (1).
(x + 12)² - 144 = 17
(x + 12)² = 17 +144
(x + 12)² = 161
Answer:
We added 144 to the left side of equation (1) in order to make it a perfect square.
y-intercept: Let x = 0 and solve for y:
(x-1)^2 + (y-2)^2 = 10 => (-1)^2 + y^2 - 4y + 4) = 10
=> 1 + y^2 - 4y + 4 = 10, or y^2 - 4y -5 = 0
The solutions of this quadratic are y = 5 and y = -1.
Thus, the y-intercepts are (0, 5) and (0, -1).
Now find the x-intercepts: Let y = 0 and solve the resulting equation for x:
(x-1)^2 = 10 - (-2)^2, or (x-1)^2 = 10 - 4 = 6.
Taking the sqrt of both sides, x - 1 = plus or minus sqrt(6), or:
x = 1 +√6 and x = 1 - √6, so that the x-intercepts
are (1+√6, 0) and (1-√6, 0).
Answer:
x + y = 64
x = y + 14
Step-by-step explanation:
Given:
Total number of student = 64
x = number of students in filmmaking club
y = number of students in yearbook club.
Computation:
So,
x + y = 64
And,
x = y + 14
So
Number of students in yearbook club = 25
Number of students in filmmaking club = 39
Answer:
For the graph, use the segment that is filled in at the start of it, that shows the X is equal to or more than -10.
Answer:
525 jerseys
Step-by-step explanation:
you multiply the 25$ and $500 ($25 x 20)+($500 x 20) by the number of students, and then add them together. after that, you multiply it by the $20 ($10,500/$20 = 525) for the jerseys to get 525 jerseys
