Answer:
Answer is A - (1, 3) and (2, 6)
Step-by-step explanation:
(1, 3) • 2
= (1 • 2, 3 • 2)
= (2, 6)
Ratio: 2/2, 6/2
Therefore, the answer is A.
Answer:
Parallel lines: Line B and C
Perpendicular lines: Line A and B; Line A and C
Step-by-step explanation:
To answer this question, we only need to find the slope of each equation. The formula for slope is attached in a picture.
LINE A
Substituting the first line into the formula, we will get...
(2 - 5)/(0 -(-4))
-3/4
LINE B
Substituting the second line's points into the formula we will get...
(2 - 6)/(3 - 6)
-4/-3
4/3
LINE C
Substituting the third line's points into the formula we will get...
(3 -(-1)/(0 -(-3))
4/3
So, parallel lines have the same slope, right? Since line b and line c have the same slope, they are parallel.
And, perpendicular lines have negative reciprocal slopes, right? (reciprocal means x/y -> y/x) Since -3/4 and 4/3 are negative reciprocals of each other, they are perpendicular.
Therefore...
Parallel lines: Line B and C
Perpendicular lines: Line A and B; Line A and C
Answer:
70
Step-by-step explanation:
For this case we must solve the following equation:
![3 (x-7) = 42](https://tex.z-dn.net/?f=3%20%28x-7%29%20%3D%2042)
Applying distributive property to the terms within the parenthesis we have:
![3x-21 = 42](https://tex.z-dn.net/?f=3x-21%20%3D%2042)
Adding 21 to both sides of the equation:
![3x = 42 + 21\\3x = 63](https://tex.z-dn.net/?f=3x%20%3D%2042%20%2B%2021%5C%5C3x%20%3D%2063)
Dividing between 3 on both sides of the equation:
![x = \frac {63} {3}\\x = 21](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B63%7D%20%7B3%7D%5C%5Cx%20%3D%2021)
Answer:
![x = 21](https://tex.z-dn.net/?f=x%20%3D%2021)
Answer: 9 goes into 63 7 times, but 9 does not go into
72 9 times, so the answer is no.
Step-by-step explanation: