Two equations will not have solution if they are parallel and have different y-intercepts. Parallel lines have the same slope. In a slope-intercept form, the equation of the line can be expressed as,
y = mx + b
where m is slope and b is the y-intercept.
Given: 3x - 4y = 2
Slope-intercept: y = 3x/4 - 1/2
A. 2y = 1.5x - 2
Slope-intercept: y = 3x/4 - 1
B. 2y = 1.5x - 1
Slope-intercept: y = 3x/4 - 1/2
C. 3x + 4y = 2
Slope-intercept: y = -3x/4 + 1/2
D. -4y + 3x = -2
Slope-intercept: y = 3x/4 + 1/2
Hence, the answers to this item are A and D.
Answer:
David needs 36.style="color:rgb(72,72,72);background-color:transparent;"> gallons of punch for a party and has two different coolers to carry it in. The bigger cooler is 5. times as large as the smaller cooler.
There are a total of 30 integers and 10 of these are divisible by 3 (3, 6, 9, 12, 15, 18, 21, 24, 27, and 30). So the probability of getting an integer divisible by 3 is

= 1/3. The answer is letter C.
Answer:
(13/10)H
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Remember that 30% in fraction form is 33/100
The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:
(30/100)H
And since it would add that to the current total we can right the current total as:
(100/100)H
So our equation would be
=(30/100)H + (100/100)H
=(130/100)H
=(13/10)H
Answer:
First, remember that a circle of radius R centered in the point (a, b) can be written as:
(x - a)^2 + (y - b)^2 = R^2
Suppose that we can model the yard as a rectangular coordinate axis.
And the tree is planted in the point (a, b)
If we want to have 15 feet in all directions around the base of the tree (15 ft around the point (a, b))
The section that must remain unplanted is:
(x - a)^2 + (y - b)^2 ≤ R^2
Where the ≤ symbol is used because all the interior of the circle must remain unplanted (border included)