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
Answer:
vertex = (- 1, 1 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - 
y = x² + 2x + 2 ← is in standard form
with a = 1 and b = 2 , then
x = -
= - 1
substitute x = - 1 into the equation for y- coordinate of vertex
y = (- 1)² + 2(- 1) + 2 = 1 - 2 + 2 = 1
vertex = (- 1, 1 )
Answer:
216
Step-by-step explanation:
800 ÷ 100 = 8
8 = 1%
73 x 8 = 584
800 - 584 = $216
Answer:
Step-by-step explanation:
• The shape of the curve is a rose curve.
• The domain are real numbers
• And the range is approximately from -2 to 2
The maximum value of r on the graph is 2
• Yes the graph is continuous and it is bounded above and below
• The graph is symmetrical about the x axis and not about the y axis.
• No asymptotes
Answer:
Explanation:Since, you have not included the formula, I will work here with the formula for
constant accelaration motion that relates the four variables:
displacement (d), Vo (initial velocity), a (acceleration) and t (time).1)
displacement formula:

2) Subtract the term Vot from both sides:

3) Multiply both sides by 2:

4) Divide both sides by t²
![2[d-V_0t]/t^2=a](https://tex.z-dn.net/?f=2%5Bd-V_0t%5D%2Ft%5E2%3Da)
So, you have obtainded:
a = 2[d - Vo×t] / t²Yet, you can arrange it in different ways. For example, you might separate into two terms: