What is the value of 3x plus 5y when x equal 12 and y equal 4
Answer:
maximum value y = 30
Step-by-step explanation:
Given
- x² + 10x + 5
To complete the square the coefficient of the x² term must be 1
factor out - 1
= - (x² - 10x) + 5
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 10x
= - (x² + 2(- 5)x + 25 - 25) + 5
= - (x - 5)² + 25 + 5
= - (x - 5)² + 30 ← in vertex form
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Hence vertex = (5, 30)
The max/ min occurs at the vertex
Since a < 0 then vertex is a maximum
Hence maximum value is y = 30
They are congruent.
you use 12x-18 = 8x+10 to solve for x
Answer:
![\frac{5\pi }{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Cpi%20%7D%7B4%7D)
Step-by-step explanation:
To convert from degree to radian measure
radian measure = degree measure × ![\frac{\pi }{180}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B180%7D)
Hence
radian measure = 225 ×
=
= ![\frac{5\pi }{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Cpi%20%7D%7B4%7D)