Answer:
Lines are considered parallel if their slopes are the same. In Line 1, the slope is 5 and in Line 2, when we solve for 'y', we also get a slope of 5, which means the two lines are parallel.
Step-by-step explanation:
In order to find slope, it is easiest to put the equation in slope-intercept form, or y=mx + b, where m = slope and b=y-intercept. In L1, y=5x +1 indicates a slope of 5. In L2, the equation is not in slope-intercept form, so we must solve for 'y' using inverse operations: 2y - 10x +3 = 0, start by subtracting 3 from both sides of the equal sign: 2y - 10x +3 -3 = 0 - 3 gives us 2y - 10x = -3. Then add '10x' to both sides: 2y - 10x + 10x = -3 + 10x gives us 2y = 10x - 3. Lastly, divide all terms by 2: 2y/2 = (10/2)x - 3/2 or y = 5x - 1.5. Now that L2 is in slope-intercept form, we can see that m=5 as in L1, so since they have the same slope, they are parallel lines.
This problem can be solve by using
ration and proportion, since you want to enlarge the picture by not distorting
the image, the new dimensions should be in proportion with the old one.
Let x be length of the image
(5/40 = (x/5)
X = 5(5/4)
<span>X = 6.25 in</span>
Answer:
earth venus mars mercury
Step-by-step explanation:
<span>Look for a pattern in how much the population increases every 2 years.
Find the population growth for each year by subtracting the population from the previous year.</span>
Well 4 oz. is half a cup (1/2 cup)