Answer:
Step-by-step explanation:
Given that a tangent is drawn from P (6,2) to unit circle with center at the origin.
The tangent passing through (6,2) would have equaiton of the form
for suitable m.
Because this line is tangent, distance of centre of circle namely origin is the radius 1.
i.e. 
the coordinates are the intersection of the tangent with the circle
They are (-0.162, 0.987) and (0.462,-0.887)
In order to answer that question we would have to know how many people are in the group
For example: if there are ten people in the group then the fraction would be 8/10
If there are 20 people in the group then the fraction would be 8/20
I hope this helped
Answer:
False. Squaring any rational, whole number, will always give you a even number. So if you add one to the number, you will get a odd number.
Answer:
So the numbers are 12 and -3.
Step-by-step explanation:
In order to solve this problem we will attribute variables to the numbers, the first one will be "x" and the second one will be "y". From the first sentence we know that the subtraction of the two numbers is equal to 15, so we have:
x - y = 15
Then the problem states that one-third of the sum of the number is equal to one quarter of the first number, so we have:
(1/3)*(x+y) = x/4
Since we now have two equations and two variables we can solve for x and y. From the first equation we have:
y = x - 15
Using this expression for the value of y in the second equation:
(1/3)*(x + x - 15) = x/4
(1/3)*(2*x - 15) = x/4
2*x - 15 = 3*x/4
2*x - 3*x/4 = 15
(8*x - 3*x)/4 = 15
5*x/4 = 15
5*x = 60
x = 60/5 = 12
y = x - 15 = 12 - 15 = -3
So the numbers are 12 and -3.
<u>Answer:</u>
3/5
<u>Step-by-step explanation:</u>
We are to find the similarity ratio of a cube with volume 
to a cube with volume 
.
We know the formula for the ratio of two cubes:
where 
is the similarity ratio of the two cubes.
Substituting the given values in the formula to find :
Therefore, the similarity ratio of the two cubes is 3/5.
