B= (3,6) and D= (18,9)
Step-by-step explanation:
To find the midpoint of two given points add X1 and X2 together, then divide by 2 to get the X value of the midpoint and do the same thing for the Y value. That will get you B. From there you can see to get from point A to point C you add 10 to the x value and add 2 to the y value. Because C is the midpoint just double what you had to add to get point D (add 20 to x and add 4 to y)
Answer:
|x - 1 |> 6,
Step-by-step explanation:
First we find the distance between the two points
-5 to 7
7 - -5 =7+5 = 12
We find 1/2 that distance
12/2 = 6
So we are looking for a greater-than inequality because we are looking for the outsides because we want a less than and a greater than
|x - b |> c,
The center is 6 to that is c
|x - b |> 6,
To find the value of b
Let x = 7
7 -b =6
b=1
|x - 1 |> 6,
We can check by using -5
|-5 - 1 |> 6,
Answer: 6
Step-by-step explanation: First rewrite 10 as 10/1 and 1 and 2/3 as 5/3.
Mixed numbers can be changed to improper fractions by multiplying the denominator by the whole number and then adding the numerator. We then put out numerator over our old denominator.
So we have 10/1 ÷ 5/3 or 10/1 × 3/5.
It's important to understand that dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division to multiplication and flip the second fraction.
Now multiplying across the numerators and across the denominators, we have 30/5. Notice however that 30/5 is not in lowest terms so we divide the numerator and the denominator by the greatest common factor of 30 and 5 which is 6 and we end up with 6.
Therefore, 10 ÷ 1 and 2/3 = 6.
parallel lines have the same slope
The slope-intercept form of a linear equatio is y=mx+b, where m stands for the "slope of the line" and b stands for the "y-intercept of the line"
They give you the equation y= -5/6x+3 Notice this is already on the slope-intercept form, so in this case the slope is -5/6 and the y-intercept is 3
You want an equation of the line that is parallel to the given line. The slopes must be the same, so m=-5/6
So far we have y=-5/6x + b
We don't have b yet but that can be found using the given point (6,-1) which tells you that "x is 6 when y is -1"
Replace that on the equation y=-5/6x + b and you get
-1 = (-5/6)(6) + b
-1 = -5 +b
4 = b
b = 4
We found b, or the y-intercept
Go back to the equation y = -5/6 x + b and replace this b with the b we just found
y = -5/6x + 4
