Answer:
B. -3
Step-by-step explanation:
From (-1,4) it goes down 3 (rise) units then 1 unit (run) to the right. Simply, its sloping to the left, so negative.
Solving using slope formula:
y2-y1/x2-x1
4--2/ -1-1
6/-2
3/-1
-3
Out of the 52 cards in a deck, there are 13 clubs and 4 aces. The given situation is an inclusive event because out of the 4 aces there is one of them that is a club. The probability therefore,
P(ace) + P(club) - P(inclusive event)
Substituting gives,
4/52 + 13/52 - 1/52 = 4/13
The answer is letter C. 4/13.
Answer:
- C. The lines will intersect once, because this system has one solution
Step-by-step explanation:
<u>System of equations: </u>
The system of linear equations has one solution if the lines intersect, no solution if the lines are parallel, infinitely many solutions if lines are same
Let's put the lines into slope-intercept form to compare
<u>Line1 </u>
- 5x - 6y = 4
- 6y = 5x - 4
- y = 5/6x - 4/6
<u>Line </u>2
- 3y + 2x = 7
- 3y = -2x + 7
- y = -2/3x + 7/3
As we see lines have different slopes so they are different and they intersect once
This system has one solution
The answer is (10x^2<span> – 3)(100</span>x^4 + 30x^2<span> + 9)</span>
