Answer:
3rd Option is correct.
Step-by-step explanation:
Given Equation:
x² - 16x + 12 = 0
First We need to find solution of the given equation.
x² - 16x + 12 = 0
here, a = 1 , b = -16 & c = 12
Now,
Option 1).
( x - 8 )² = 144
x - 8 = ±√144
x - 8 = ±12
x = 8 + 12 = 20 and x = 8 - 12 = -4
Thus, This is not correct Option.
Option 2).
( x - 4 )² = 4
x - 4 = ±√4
x - 4 = ±2
x = 4 + 2 = 6 and x = 4 - 2 = 2
Thus, This is not correct Option.
Option 3).
( x - 8 )² = 52
x - 8 = ±√52
x - 8 = ±2√13
x = 8 + 2√13 and x = 8 - 2√13
Thus, This is correct Option.
Option 4).
( x - 4 )² = 16
x - 4 = ±√116
x - 4 = ±4
x = 4 + 4 = 8 and x = 4 - 4 = 0
Thus, This is not correct Option.
Therefore, 3rd Option is correct.
Slope intercept form is y = mx + b
Pick one of the coordinates, I’ll use (-3,-4) as the example.
Coordinates are just numbers plugged in for (x,y).
This means -3 would be your x and -4 would be your y.
So plug these numbers into the equation and you get -4 = m(-3) + b.
M is slope and to find slope, you need to do (y2-y1) / (x2-x1).
In other words, it would be (-3 - -4) / (4 - -3) = 1/7 which is your slope (m).
Now plug that in for m to get the b variable.
-4 = 1/7(-3) + b.
B = -3.57
Your answer is y = 1/7x -3.57
11/15=.7333333 so the one with the line above the 3 only
Answer:
19.4in
Step-by-step explanation:
1) formula for area of a triangle:
(b*h)/2=a
the area and height are already given so lets substitute them in the formula.
(b*23.8)/2=230.86
1) multiply by 2 on both sides
b*23.8=461.72
divide by 23.8 on both sides
b=19.4
the base is 19.4 in
hope this helps
