You are told the ages of Karen and David in terms of Michelle's age.
Let m = Michelle's age.
Michelle's age = m
Karen's age = m + 6
Michelle is two years younger than David, so David is two years older than Michelle.
David's age = m + 2
Add the ages and get 62.
m + m + 6 + m + 2 = 62
3m + 8 = 62
3m = 54
m = 18
Michelle is 18 years old
Karen is 6 years older, so she is 24 years old.
David is 2 years older than Michelle, so he is 20 years old.
2 3/20 ,2 9/20, 2 1/2,2 11/20,2 4/5
Answer:
Step-by-step explanation:
Comment
- Only the x is minus. You know this because if you rotate the x axis 90 degrees clockwise, the plus axis will be on your right and the minus part of the axis on your left.
- The other 2 (y and z) are positive.
- All answers give - 4 in their choices. You are not helped much by -4
- y is on your left right now. That is the plus direction so y = 5
- z is 6 units up, so it is positive.
Answer (-4,5,6)
B
Answer:
The equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given the line
3x - 4y = 7
writing in the slope-intercept form
4y = 3x - 7
dividing both sides by 4
4y/4 = 3/4x - 7/4
y = 3/4x - 7/4
Now, comparing with the slope-intercept form of the line equation
y = 3/4x - 7/4
The slope of the line m = 3/4
We know that parallel lines have the same slopes.
Therefore, the slope of the parallel line is: 3/4
now we have,
The point (-4, -2)
The slope m of parallel line = 3/4
Given the point-slope form of the line equation
where m is the slope of the line and (x₁, y₁) is the point
substituting (-4, -2) and m = 3/4 in the point-slope form of line equation


Thus, the equation in the point-slope form of the line equation is:

Simplifying the equation

Subtract 3 from both sides


Multiplying the equation by 4


Therefore, the equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:
the multiplication table is displayed in the screenshot (up to 12)