Answer:
0.524
Step-by-step explanation:
Answer:
81 miles
Step-by-step explanation:
18x4=72 and then you have to add the 1/2 and 1/2 of 18 is 9 so you add 72+9=81 to get the answer. Hope this helps! <3
Given:
To find:
The variance. of combined set.
Solution:
Formula for variance is
...(i)
Using (i), we get
Similarly,
Now, after combining both sets, we get
Therefore, the variance of combined set is 15.4.
The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).
<h3>What is a circle?</h3>
It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.
x = 2y + 5 ...1
x² + y² = 5 ...2
If the intersection of the point of the circle and line is one. Then the line is tangent to the circle.
Then from equations 1 and 2, we have
(2y + 5)² + y² = 5
4y² + 25 + 20y + y² - 5 = 0
5y² + 20y + 20 = 0
5y² + 10y + 10y + 20 = 0
5y (y + 2) + 10(y + 2) = 0
(5y + 10)(y + 2) = 0
y = -2, -2
Then the value of y is unique then the value of x will be unique.
The value of x will be
x = 2(-2) + 5
x = -4 + 5
x = 1
The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).
More about the circle link is given below.
brainly.com/question/11833983
#SPJ1
g(x) = 1/2 . 2^x = x=3 , y=1
