Answer:
The solution to the system of equations is (-6, 3)
Step-by-step explanation:
Plot both lines on a graph, find where they intersect IF they even intersect at all like in this case, and boom there's your answer. Hope that helps and have a good rest of your day.
Here are some examples of equivalent ratios for 1/6:
2:12, 3:18, 4:24, 5:30, 6:36
All of these simplify to 1/6, which makes them equivalent. Hope this helps! :)
4y = 3x + 18
Step-by-step explanation:
NOTE THAT A line that is perpendicular to another has a negative inverse of the slope of the other line. The products of their slopes, that is, is always -1
Therefore we can begin by finding the slope of this line defined by the function 4x+3y=9
3y = -4x + 9
y = -4/3 x + 9/3
y = -4/3 x + 3
The slope of the perpendicular line is, therefore;
¾ - this is the negative inverse of -4/3
Now that we know the slope, we need to find the y-intercept. This is where x = 0 and the line meets the y-axis;
i.e (0, y)
The other given point, where the line crosses is (-2, 3). Remember that to get the gradient we use the formula;
Gradient = Δ y / Δ x
¾ = (3 – y) / (-2 – 0)
¾ = (3 –y) / -2
¾ * -2 = 3 – y
-3/2 = 3 – y
-3/2 – 3 = -y
9/2 = y ←– This is the y-intercept
Remember the function of a straight line is given;
y = mx + c (m being slope and c being y-intercept)
y = 3/4 x + 9/2
4y = 3x + 18
Learn More:
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Answer:
2/15
Step-by-step explanation:
2/3*5
2/3*1/5=2/15
*=multipliy
Answer:
7(7x -4)
Step-by-step explanation:
49x-28
We can factor a 7 from each term
49x = 7*7x
28 = 7*4
7(7x -4)
