Step-by-step explanation:
4x² - 12x + 9 = 5 → 4x² - 12x + 4 = 0 → x² - 3x + 1 = 0
∆ = b² - 4ac → ∆ = (-3)² -4(1)(1) = 9 - 4 = 5
x = (-(-3) ± √5)/2(1) = (3 ± √5)/2
x² - 3x + 1 = 0 → (x - 3/2)² - 9/4 + 1 = 0 → (x - 3/2)² = 5/4 → x - 3/2 = ±√5 / 2 → x = ½( 3 ± √5)
Answer:
The equation to find the length of each of the shorter sides of the parallelogram is 2x + 32.28 = 50.12 and the value of x is 8.92 inches.
Step-by-step explanation:
Perimeter of the parallelogram = 50.12 inches
Length of the longer sides = 16.14 inches
Length of the shorter sides = x
<u>The system of equation</u>
First equation
x = 2y + 7
Second equation
3x - 2y = 3
<u>Substitute x with (2y + 7) in the second equation</u>
3x - 2y = 3
3(2y + 7) - 2y = 3
use distributive property
3(2y) + 3(7) - 2y = 3
6y + 21 - 2y = 3
add like terms
6y - 2y + 21 = 3
4y = 3 - 21
4y = -18
y = -18/4
y = -4.5
<u>Substitute y with its value, which is -4.5, in the first equation</u>
x = 2y + 7
x = 2(-4.5) + 7
x = -9 + 7
x = -2
<u>The solution is</u>
<u />(x,y) = (-2, -4.5)
Step-by-step explanation:
we first divide fourteen by four
14/4= 3.5
then we change 0.5 to hours by multiplying by 60
0.5 * 60 = 30
so in conclusion it would take 3hrs 30mins to finish each activity
