Answer:
y = - x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x - 3 ← is in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
= - = - , thus
y = - x + c ← is the partial equation
To find c substitute (8, 5) into the partial equation
5 = - 4 + c ⇒ c = 5 + 4 = 9
y = - x + 9 ← equation of line
Answer: Tina rides 4 miles and Derek rides 3 miles.
Explanation:
Since we have given that
Distance covered by Derek in west direction be x
Distance covered by Tina in south direction be x+1
Distance between the bikers when they both stop is x+2
Since it forms right triangle, so we will apply "Pythagorus theorem":
Since distance can't be in negative sign, so we take x=3 miles
Derek rides 3 miles
Tina rides is given by
Hence, Tina rides 4 miles and Derek rides 3 miles.
Answer:
16π square units.
Step-by-step explanation:
Please refer to the graph below.
So, if we draw a representative rectangle, the width of the rectangle will be (x), and the height of the rectangle at each (x) will be given by f(x) - g(x).
By the shell method:
We are integrating from x = 0 to x = 2. p(x) is x and h(x) is f(x) - g(x):
Evaluate. Simplify:
Hence:
Evaluate:
Answer:
Definition: Standard deviation is the measure of dispersion of a set of data from its mean. It measures the absolute variability of a distribution; the higher the dispersion or variability, the greater is the standard deviation and greater will be the magnitude of the deviation of the value from their mean.