The formulas for the perimeter and area of a square may be derived from the corresponding formulas for a rectangle because, like rectangles, squares are quadrilaterals, therefore sharing the same formal characteristics as a rectangle. They both contain a pair of lengths and a pair of widths, giving us 2-dimensional figures on a plane.
The parent function for quadratic equations is as followed:
where a and b represent vertical and horizontal stretches, respectively, h is the horizontal shift, and k is the vertical shift.
So going from
to
,
We are shifting 1 to the left and 6 up.
The horizontal shift is in the negative direction because in the equation, h=-1 because:
The answer is A.
Answer:
y = (-1/7)x + (24/7)
Step-by-step explanation:
The general structure of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
You have been given the value of the slope (m = -1/7). You have also been given values for "x" and "y" from the point (3,3). Therefore, you can substitute these values in for their variables and simplify to find the value of the y-intercept.
y = mx + b <----- Slope-intercept form
y = (-1/7)x + b <----- Plug -1/7 into "m"
3 = (-1/7)(3) + b <----- Plug in "x" and "y" values from point (3,3)
3 = -3/7 + b <----- Multiply -1/7 and 3
24/7 = b <----- Add 3/7 to both sides
Now that you know that m = -1/7 and b = 24/7, you can determine the formula satisfying the given information.
y = (-1/7)x + (24/7)
Answer:
0.5 in the first box and 1 or -1 in the second
240,000 = 24 x 10,000 but 10,000 = 10 x 10 x 10 x 10 = 10⁴, then:
240,000 = 24 x 10⁴
