Given:
The equation of a circle is
A tangent line l to the circle touches the circle at point P(12,5).
To find:
The gradient of the line l.
Solution:
Slope formula: If a line passes through two points, then the slope of the line is
Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is
We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.
Product of slopes of two perpendicular lines is always -1.
Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.
Therefore, the gradient or slope of the tangent line l is .
Basically all you’re doing is plugging in the inputs to the equations and see if they’re correct.
5(3)+4(-3)=3 this proves to be true
2(3)-5(-3)=21 not 19
Answer:
a) 75 miles
b) 90 minutes
c) His constant speed was higher for a longer period of time
Step-by-step explanation:
a) 70 / 2 = 35
40 + 35 = 75
b) 60 + 30 = 90
The number of sections on the spinner so that each person has heir own shape and number is 5
<h3>How to determine the number of sections?</h3>
The given parameters are:
People, n = 30
Die = 6 sided
Let the sections on the spinner be s.
The equation to calculate s is represented as:
People = Die * s
This gives
30 = 6 * s
Divide both sides by 6
s = 5
Hence, the number of sections on the spinner so that each person has heir own shape and number is 5
Read more about spinners at:
brainly.com/question/24855677
#SPJ1
The dog weighs 12 lbs.
The cat weighs 2/3 as much as the dog
- Divide 12 by 3
= 4
- Then multiply by 2
= 8
His cat weighs 8 pounds.