It would be 2/3 because you have to simplify it.
Answer:
The price per inch is $0.26.
Step-by-step explanation:
There are 12 inches in 1 foot.
First, we need to calculate what the cost is per foot.
18.72 / 6 = 3.12
From this answer, we have to divide by 12 to calculate what the price is per inch.
3.12 / 12 = 0.26
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Answer:
A. The dilated line lies on the original line.
Step-by-step explanation:
Dilation changes sizes, but not slopes or angles. The dilated line is guaranteed to have the same slope as the original.
The center of dilation is "invariant" (doesn't move) as a result of the dilation. Here, the point (3, 0) is the center of dilation. It is the x-intercept of the original line, so will also be on the dilated line.
The dilated line has the same slope as the original and goes through a point that the original line goes through. Hence it lies on the original line.
_____
How do you do this question?
1. make use of the properties of dilation, as we have done above.
2. plot some points on the original line—(0, 3) and (3, 0) are the intercepts—apply the dilation, and see where the line goes. (You will find (0, 3) ⇒ (-6, 9), and (3, 0) ⇒ (3, 0). Both are on the original line.)
Answer:
-15
Step-by-step explanation:
y = (x+5)^2 + 5
y = x^2 +10x +25 +5
y = x^2 +10x +30
.
You know this is a parabola. So find several values of x to calculate values of y.
.
The axis of symmetry is where x = -b/2a.
-10/2 = -5
.
The vertex is where the parabola ends. It occurs on the axis of symmetry.
y = (-5)^2 +10(-5) + 30
y = 25 -50 + 30
y = 5
.
Pick several points to either side of the vertex.
x = -4, y = 6
x = -6, y = 6
x = 0, y = 30
x = -10, y = 30
x = 5, y = 105
x = -15, y = 105
Answer:
y=-3x+6
Step-by-step explanation:
(y2-y1)/(x2-x1)
(0-6) / (2-0)
0-6= -6
2-0= 2
-6/2= -3
slope is -3
so now we have y=-3x+b
in the coordinates (0,6) it means if x is 0 then y is 6. so the y-intercept is 6.
Therefore the equation would be y=-3x+6