We are given a function of the bouncing of the ball expressed as f(n) = 9(0.7)n in which n is an integer as the number of times the ball has dropped. 9 represents the initial height of the ball and 0.7 is the percent of which the height is reserved
Answer:
264 miles
Step-by-step explanation:
Find the unit rate (mpg):
66 miles
----------------- = 22 mpg
3 gallons
On 12 gallons he could drive (22 mpg)(12 gallons) = 264 miles
Answer:
complementary angles
Step-by-step explanation:
Adjacent angles form a right angle.
A right angle is 90 degrees.
Two angles that add to 90 degrees are complementary.
The adjacent angles are complementary
Hello :
<span>the greatest common factor for 26rs and 30r^5s^6 is : 2rs</span>
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.
-2x+3y=-6 Add 2x in both sides
3y=2x-6 Divide by 3 in both sides to isolate y
y=2/3x-6/3
The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.
y=mx+b Substitute the given point and the previous slope found
-2=(-3/2)(6)+b Combine like terms
-2=-9+b Add 9 in both sides to isolate b
7=b
The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.