Find the area of small and large circles:
.
The area of the shaded region is
.
Use the geometric probability to determine the probability that randomly selected point will be in the shaded region:
.
In percent 0.7481 is 74.81% and rounded to the nearest tenth is 74.8%.
Answer: 74.8%.
Answer:
C. Multiply the bottom equation by 2
Step-by-step explanation:
-2x+ 4y= 10
3x- 2y =-7
We want to multiply the second equation by 2
-2x+ 4y= 10
6x- 4y =-14
------------------
4x +0y = -4
Answer:
The graph is shown below.
D. Infinite solutions; these are equivalent equations.
Step-by-step explanation:
Given:
The pair of linear equations are:
Multiply equation (1) by -2. This gives,
Now, equations (2) and (3) are same and hence the equations (1) and (2) are the equations of the same line.
In other words, the two lines overlap each other completely. Hence, all the points on the line are the solutions of the given pair of lines. We know that, there are infinitely many points on a line. So, there are infinitely many solutions
The graph is plotted below to support the same.
Therefore, the correct option is option D: Infinite solutions; these are equivalent equations.
<span>1 year = 52 weeks
so you do 17,000 divided by 52 which is 326.92</span>
Answer: 3p² + q² - 5pq - 10 < 0
<u>Step-by-step explanation:</u>
p² - q² + 2pq < -2p² - 2q² + 7pq + 10
since you didn't specify what to solve for, move everything from the right side to the left side of the inequality symbol using inverse operations.
(p² + 2p²) + (- q² + 2q²) + (2pq - 7pq) + (- 10) < 0
3p² + q² + -5pq + -10 < 0
3p² + q² - 5pq - 10 < 0