Answer:
I think it is B
Step-by-step explanation:
It’s non-linear and it’s increasing.
It’s non-linear because it isn’t going in a straight line and you can tell it’s increasing by the way the line is going towards the right.
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
In exact form it would be 4/3
Answer:
1/12
Step-by-step explanation:
Let’s list out cases:
1+1:
Probability of getting 1 and 1 is (1/6)^2 = 1/36
1+2:
Probabilty of getting 1 and 2 is (1/6)^2 = 1/36 and getting 2 and 1 is (1/6)^2 = 1/36.
That is all of the cases because 1+3 and 2+2 are equal to 4. Summing it up, we get: 3(1/36) = 1/12
