Answer:
a. x/y = 2 b) y/x +y =1/3 c) x-y/y= 1 d) y/x = 1/2
Step-by-step explanation:
Solve for
a) x/y
as we know x +y/y = 3
x+y= 3y
x= 3y-y
x= y(3-1)
x/y= 3-1
x/y = 2
b) y/x+y
as we know x +y/y = 3
x+y = 3y
1= 3y/x+y
1/3 = y/x+y
So y/x +y =1/3
C) x-y /y
as we know x +y/y = 3
x +y = 3y
subtracting 2y from both sides
x +y -2y = 3y- 2y
x-y = y
dividing both sides by y
x-y/y = y/y
x-y/y= 1
d) y/x
as we know x +y/y = 3
x +y = 3y
x= 3y- y
x= 2y
dividing both sides by x
x/x = 2y/2x
1 = 2 x (y/x)
1 / 2 = y/x
Or y/x = 1/2
Best of luck.
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Answer:
Step-by-step explanation:
-5/4 is smaller than -2/3 since on the negative sides, any number who is larger is smaller.
0.75 is smaller than the square root of 3 since that equals to 1.7.
1.9 is smaller than the absolute value of -4 since that equals to 4.
Answer:
C
Step-by-step explanation:
49x² + 28xy + 4y² ← is a perfect square of the form
(ax + by)² = a²x² + 2abxy + b²y²
49 = 7² ⇒ a = 7 and 4 = 2² ⇒ b = 2
2ab = 2 × 7 × 2 = 28
Hence
49x² + 28xy + 4y² = (7x + 2y)²
with factor 7x + 2y ⇒ C
To write the equation of a line, we use the equation: y = mx +b.
m is the slope of the line, which can be calculated using the equation:
m = (y2 - y1)/(x2 - x1)
We can choose any two points on the line to put into this equation. The red dots are at (0,0) and (-6,-2), so we will use those, but you would get the same answer by using any other pair of coordinates on the blue line.
m = (-2 - 0)/(-6 - 0) = 2/6 = 1/3
b is the y-intercept of the line. The y-intercept is the y-coordinate when the line crosses the y-axis. It crosses the y-axis at (0,0), so the y-intercept is 0.
Now, we plug our values back into the full equation to get the equation of the line.
y = mx + b
y = (1/3)x + 0
So the final answer is y = (1/3)x or y = x/3, depending on how you want to write it.
Answer:
e f f g
3 7 2 3
6 14 14 21
e;g=6:21
e : g=2 : 7
Step-by-step explanation:
