Answer:
15 possible outcomes
Step-by-step explanation:
Since each one of these methodologies are not related to one another and they do not need to be chosen in any order or consecutively then the possible outcomes would only need to be added all together to calculate the total possible outcomes. Since each outcome is independent. Therefore,
m1 = 5 outcomes
m2 = 2 outcomes
m3 = 4 outcomes
m4 = 4 outcomes
5 + 2 + 4 + 4 = 15
we can see that there are a total of 15 possible outcomes
That means they are parallel so it’s 6
Answer:
y = (5/4)x + 6
Step-by-step explanation:
The 1st line's equation is:
● 4x + 5y = 20
Substract 4x from both sides
● 4x + 5y - 4x = 20 - 4x
● 5y = 20 -4x
● 5y = -4x + 20
Divide both sides by 5
● 5y/5 = (-4x + 20)/5
● y = (-4/5)x + 4
● y = -0.8x + 4
Let m be the slope of the second line
The lines are perpendicular so the product of their slopes equals -1
Then: m × (-0.8) = -1
● m × (-0.8)= -1
● m = -1/(-0.8)
● m = 1.25
y = 1.25x + b
b is the y-intercept of the line.
To get it replace by the coordinates of a point.
We are given that the line passes through (-4,1)
● y = 1.25x + b
● 1 = 1.25 × (-4) + b
1.25 is 5/5
● 1 = (5/4) × (-4) + b
● 1 = -5 + b
Add 5 to both sides
● 1 + 5 = -5 + b + 5
● b = 6
So the equation is
● y = (5/4)x + 6
Hello!
The equation above has been written in slope-intercept form, which uses the following formua:
y = mx + b
In the formula above, “m” represents the slope of the line while “b” represents the y-intercept. With this knowledge, we can see that the given equation has a slope of (-5). You’ll notice, however, that the given equation does not have a “b” value. In this case, the fact that “b” is not included in the equation implies that this particular value is equal to zero.
Consequently, we have now come to the conclusion that the y-intercept (b) is equal to zero.
I hope this helps!