Answer:
x = 2 - 5, x = 2 + 5
Step-by-step explanation:
x² - 4x = 71
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 2)x + 4 = 71 + 4
(x - 2)² = 75 ( take the square root of both sides )
x - 2 = ± = ± 5
( add 2 to both sides )
x = 2 ± 5
then
x = 2 - 5 , x = 2 + 5
The answer is:
The correct option is the first option:
To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.
We must remember that the slope-interception form of the lines is:
Where,
y, is the function
m, is the slope of the line
x, is the variable
b, is the y-axis intercept
We can find the slope using the following formula:
Which is for this case:
As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:
We can find the value of "b" seeing where the line intercepts the y-axis.
As we can see it intercept the y-axis at:
Then, now that we already know the value of "m" and "b", we can write the equation of the line:
So, the correct option is the first option:
Have a nice day!
Answer:
Option B
Step-by-step explanation:
I can't do the 'figure question' because it lacks info, but I can answer the point-slope question.
Point-slope form is:
'm' - slope
'(x1, y1)' - point
We are given the slope of 3 and the point (-1, 5).
Replace 'x1', 'y1', and 'm' with the appropriate values.
Option B should be the correct answer.