Answer:
k = -5
Step-by-step explanation:
y = -8x - 73 and x = -4
y = (-8) (-4) - 73 = - 41 : intersect at (-4 , - 41)
(-4 , - 41) must at y = 9x + k
-41 = 9*(-4) +k
k = -41 + 36 = -5
y = 9x - 5 x<-4
Probability of rolling a sum of 9 or a sum that is even from two number cubes is
11/18
Explanation:
When a dice is rolled there are different ways in which
9. can be obtained, which are (3,6) or (4,5) or (5,4) or (6,3). 4 options. As in all there are
6⋅6=36 options, probability is 4/36 or 1/9.
For getting an even number as sum, we can have (1,1) or (1.3) or (1,5) or (2,2) or (2,4) or (2,6) or (3,1) or (3,3) or (3,5) or (4,2) or (4,4) or (4,6) or (5,1) or (5,3) or (5,5) or (6,2) or (6,4) or (6,6) 18 options, probability is 18/36 or 1/2.
Note that the two events (getting 9 or even sum) are mutually exclusive, the probabilities can be just added i.e. combined probability is
1/9+1/2=2+9/18i.e. 11/18
Answer:
24
Step-by-step explanat
Divide both the numerator and denominator by the GCD
1032 ÷ 43
43 ÷ 43
Reduced fraction:
24
1
Therefore, 1032/43 simplified to lowest terms is 24/1.
Therefore, the slope of the line is 1. In case if you want to know the equation.
Therefore, the equation is y=x+10 by substituting the (-6,4) or we can substitute (6,16) too.
It's the same, you can use any orders given.
Overall, the slope is 1 and the equation is y=x+10
Answer:A. 10x. B. -2yz
Step-by-step explanation:
A. 4x+7x=11x
11x+(-x) = 11x-1x=10x
B. -5yz+yz=-4yz
-4yz+2yz=-2yz
