Answer:
One solution, A) (2 , -1)
Step-by-step explanation:
The solution is where the two lines intersect. If the lines do not intersect, it is no solution. If the line intersects once (like in the picture), it has one solution. If it intersects more than once (x), then it will have x amount of solutions.
In this case, the intersection is at (2 , -1), therefore, A) (2 , -1) is your answer.
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First, you need to find the slope of this new line.
It is perpendicular to the given line, which means the slope of this line is the negative reciprocal of this given line, so we need to find out the slope of the equation 3y=6x+3
divide each side by 3, you'll get y=2x+1, so we know the slope is 2, which is 2/1
the slope for the new line should be -1/2, the negative reciprocal of 1/2
Next, use point-slope format to write your equation. Your point is (2,4) and your slope is -1/2, so you have
(y-4)=-1/2(x-2)
If you want to simplify it: y-4=-1/2x+1 => y=(-1/2)x+5
Answer:
Answer #3
Step-by-step explanation:
The ratio of sugar to flour is 2:1, so the x values need to be twice as big as the y values in the points.
Answer: there were 19 five dollar bills and 17 20 dollar bills.
Step-by-step explanation:
Let x represent the number of five dollar bills that were received.
Let y represent the number of twenty dollar bills that were received.
Parts of the proceeds from a garage sale was $435 worth of five dollars and $20 bills. This means that
5x + 20y = 435 - - - - - - - - - - -1
If there were two more five dollar bills than $20 bills, it means that
x = y + 2
Substituting x = y + 2 into equation 1, it becomes
5(y + 2) + 20y = 435
5y + 10 + 20y = 435
25y = 435 - 10 = 425
y = 425/25 = 17
x = y + 2 = 17 + 2
x = 19
40.14 is the answer. When multiplying decimals you do NOT have to line up the decimal points. Multiple 892 by 45 and then add the decimals in after so: 40.14 is the answer.
