If anyone is good at math and likes to help someone that is not good with it I will give you brainliest
1 answer:
Answer:
1st pic answer:
Slope= -3
Parallel slope= -3
Perpendicular slope = 1/3
2nd pic answers:
1 and 2 are parallel
1 and 3 are perpendicular
2 and 3 are perpendicular
Step-by-step explanation:
To find the slope in your first equation (6x+2y=1) you need to get y alone so that your equation will be in slope-intercept form (y=mx+b).
6x+2y=1 Start by subtracting the 6x over to the other side.
-6x -6x
2y= -6x+1 Next divide by 2 to get y completely alone.
y= -3x+1/2
So to answer the first part your slope is -3. Parallel slope would be the same as your regular slope. Perpendicular would be the opposite, so that means you have to flip it and change the sign.
-3 flipped is -1/3
if you change the sign it becomes positive giving you 1/3
Part 2
Your first step would be to get all the equations into the slope-intercept form (y=mx+b). The second one is already in the form so we only need to change 1 and 3.
3y=5x+2 To get y alone you need to divide everything by 3.
y=5/3x+2/3 Before we work on equation 3 we can go ahead and compare equations 1 and 2.
1: y=
2: y= Since 1 and 2 have the same slope they would be parallel.
Now to change equation 3.
6x+10y=8 Start by subtracting the 6x over to the other side.
-6x -6x
10y=-6x+8 Now divide everything by 10 to get y alone.
y=-6x/10+8/10 Now we need to simplify the fractions using common factors. I'm going to use 2 for both equations, so you take -6 and 10 both divided by 2, which gives you -3 and 5(-3x/5). Now do the same with the other fraction. 8 and 10 divided by 2 gives us 4 and 5 (4/5)
3: y=
2: y=
1: y=
Since three has an opposite slope of both 1 and 2 it would be perpendicular to both.
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Answer:
Option: c is correct.
Step-by-step explanation:
We are given that paco needs at least 3/8 yard of twine to build a model ship.
that is we require twine of amount greater than 3/8 yards.
<em>now we need to check among the given options which quantity is greater than 3/8 yards.</em>
a)
3/10 yard.
As we know that for two rational numbers with the same numerator but with different denominator the number whose denominator is smaller is a greater quantity.
Hence 3/10 < 3/8
Hence option a is incorrect.
b)
1/4 yard
As to compare to rational numbers we have to either make the numerator equal or their denominator equal. Hence here we multiply and divide 1/4 by 2 to get 8 in the denominator.
as 2/8 < 3/8
since the denominator is same and the number with the same denominator but with different numerator are compared as whose numerator is greater is a greater quantity.
Hence option b is incorrect.
c)
3/4 yard
Clearly both the numbers have the same numerator but different denominator and we know that for two rational numbers with the same numerator but with different denominator the number whose denominator is smaller is a greater quantity.
Hence 3/8 < 3/4
Hence, option c is correct.
d)
1/8 yard
clearly both the numbers have the same denominator and we know that for two rational numbers withe same denominator but with different numerator the number whose numerator is smaller is a smaller quantity.
Hence, 1/8 < 3/8
Hence, option d is incorrect.