Answer:

Step-by-step explanation:
The radius drawn to the tangent at the point of tangency is perpendicular to the tangent.
The radius has endpoints (0, 0) and (-7, 24). The slope of the line containing the radius is


The slope of the tangent is the negative reciprocal of the slope of the radius.

The tangent contains point (-7, 24).
y = mx + b




The equation of the tangent is

Answer: b = 7.5, c = 5.5.
Step-by-step explanation:Write the absolute value equations in the form |x - b|=c (where b is a number and c can be either number or an expression)
that have the following solution sets:
Two solutions: x=2, x=13.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Answer. b = 7.5, c = 5.5.
Answer:
At a combined speed of 6 in/min, it takes us 24 mins to clean the wall
Step-by-step explanation:
Since the question did not provide the speed with which each student cleans, we can make assumptions. This is so that we can solve the question before us
Assuming student 1 cleans at a speed of 2 inches per minute, student 2 cleans at a speed of 2½ inches per minute & student 3 cleans at a speed of 1½ inches per minute.
Let's list the parameters we have:
Height of wall (h) = 12 ft, Speed (student 1) = 2 in/min, Speed (student 2) = 2½ in/min, Speed (student 3) = 1½ in/min
Speed of cleaning wall = Height of wall ÷ Time to clean wall
Time to clean wall (t) = Height of wall ÷ Speed of cleaning wall
since students 1, 2 and 3 are working together, we will add their speed together; v = (2 + 2½ + 1½) = 6 in/min
1 ft = 12 in
Time (t) = h ÷ v = (12 * 12) ÷ 6 = 144 ÷ 6
Time (t) = 24 mins
Answer:
-4/5
Step-by-step explanation:
In a line, the slope is the coefficient to x.
In the standard linear equation, f(x) = mx + b, m is the slope.
Since the equation is f(x)= -4/5x + 2, -4/5 is the slope because it is the coefficient to x.
So, the slope is -4/5