Answer:
The x-intercept is 2/3 and the y-intercept is -1/3
Step-by-step explanation:
In order to find this, we need to note that the x-intercept is the value of x, when y = 0. So we plug in y = 0 and see what the x value is.
3x - 6y = 2
3x - 6(0) = 2
3x = 2
x = 2/3
The y-intercept is the opposite. It is the y value when x = 0. So we do the same with the other term.
3x - 6y = 2
3(0) - 6y = 2
-6y = 2
y = -2/6
y = -1/3
We can solve this problem by dividing 9/12 by 2/12. We should do this because to find how many sets of something are in a number, the question is asking us to do division. Doing this, we get 9/12 * 12/2, giving us our answer of 4.5 sets of 2/12 in 9/12.
Answer:
The larger angle is 54°
Step-by-step explanation:
Given
Let the angles be: θ and α where
θ > α
Sum = 72
α : θ = 1 : 3
Required
Determine the larger angle
First, we get the proportion of the larger angle (from the ratio)
The sum of the ratio is 1 + 3 = 4
So, the proportion of the larger angle is ¾.
Its value is then calculated as:.
θ = Proportion * Sum
θ = ¾ * 72°
θ = 3 * 18°
θ = 54°
Answer:A) 20,500
Step-by-step explanation: because 27,000+48,00=75,00 so you divdie that by 30 and you will get your answer of 20,500
for the first term:
n= 1 there is 1 item
n=2 there are 2+1 = 3 items
n = 3 there are 3+2+1 = 3+2 = 6 items
n = 4 there are 4+3+2+1 = 4+6 = 10 items
We are adding the "n" term each time
n = 5 10+5 = 15
n= 6 15+6 = 21
n = 7 21+7 = 28
n = 8 28+8 = 36
There would be 36 items in the 8th step
