Answer:
line a and b are parallel, there is no perpendicular lines
Step-by-step explanation:
Looking at the slope of each line, you can identify whether the lines are parallel, perpendicularlar, or neither.
When the slopes are the same, they are parallel.
When the slopes have opposite sign and numerator and denominator flipped, they are perpendicular. Ex. and are perpendicular slopes.
Finding slope is using the formula:
Line a has slope =
Line b also has slope
Line c has slope 2
Since slope of line a and b are same, they are parallel.
Line c is not perpendicular to line a and b because the slope should have opposite sign and numerator and denominator flipped, which is 4 not 2.
So with this type of question, you are expected to solve the systems of equations simultaneously
Let 4x + 4y = -12 ..... (1)
3x - 4y = -23 ..... (2)
By summing (2) and (1)
⇒ 4x + 3x + 4y + (-4y) = -12 + (-23)
7x = -35
⇒ 7x ÷ 7 = -35 ÷ 7
⇒ x = - 5
By substituting x into (1)
If 4x + 4y = -12 ..... (1)
then 4 (-5) + 4y = -12
⇒ 4y = -12 + 20
⇒ y = 8 ÷ 4
⇒ y = 2
∴ the solution for the system of equation are x = - 5 ; y = 2
First we find the mean of the data set: M=(4+8+13+15+24+25+28)/7=16.7. Now we find the distance of each value from the mean value:
16.7-4=12.7, 16.7-8=8.7, 16.7-13=3.7, 16.7-15=1.7, 24-16.7=7.3, 25-16.7=8.3 and 28-16.7=11.3. Now we find the mean absolute deviation by finding the mean value of the distances: (12.7+8.7+3.7+1.7+7.3+8.3+11.3)/7=53.7/7=7.67. So the mean absolute value is A) 7.67.
The mistake was that in calculating only the mean value, not the mean absolute deviation.
Answer:
2
Step-by-step explanation:
2/5 divided by 1/5 = 2/5 x 5/1 = 10/5 = 2
Answer:
8
Step-by-step explanation:
all numbers must be positive when you have the lines on the side