Answer:
Step-by-step explanation:
Kristin has 3 2/3 yards of plaid ribbon. Converting 3 2/3 yards to improper fraction, it becomes 11/3 yards of plaid ribbon.
She has 2 5/6 yards of polka - dot ribbon. Converting 2 5/6 yards to improper fraction, it becomes 17/6 yards of polka - dot ribbon.
The total number of yards of ribbon that Kristin has would be
11/3 + 17/6 = (22 + 17)/6 = 39/6 yards of ribbon.
Converting to decimal, it becomes 6.5 yards of ribbon. Approximating 6.5 to the nearest yards, it becomes 7 yards. This is because the first digit after the decimal point is 5 and thus, can be rounded up
Answer: 641/2x 10-2 it is 3203
Step-by-step explanation:
Step-by-step explanation:
First, find the zeroes of the parabola
So the zeroes or where the curve crosses the x axis is at 4 and -3.
Now, we take the derivative of the function.
Plug in -3, and 4 into the derivative function
So at x=-3, our slope of the tangent line is -7 and must pass through (-3,0). So we use point slope formula.
At x=4, our slope of tangent line is 7, and pass through (4,0) so
So the equations of tangent is
Answer:
y = -1/3x + 1/3
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals.
The given line is
y = 3x - 1
This equation is written in the slope-intercept form, y = mx + b, where m is the slope.
slope of given line = m = 3
slope of perpendicular line = -1/3
Now we need the equation of the line with slope -1/3 that passes through the point (-8, 3)
y = mx + b
y = -1/3x + b
3 = (-1/3)(-8) + b
3 = 8/3 + b
9/3 = 8/3 + b
b = 1/3
y = -1/3x + b
y = -1/3x + 1/3
