Answer:
135ft²
Step-by-step explanation:
Width = w
Length = w + 6
Perimeter = 48
Perimeter = 2(l + w)
Perimeter = 2(w + 6 + w) = 48
2(2w + 6) = 48
4w + 12 = 48
4w = 48 - 12
4w = 36
w = 36/4
width = 9
length = w + 6 = 9 + 6 = 15
Area = length × width
= 15 × 9
= 135 ft²
29.99-20%= 23.99
25.00-10%= 22.50 so, Mr.chang got the better deal ( but not by much.)
Answer:
Step-by-step explanation:
When we want to find the distance between two integers using the difference, the best way is to plot them on number line. And then count distance between them.
For example -3 and -1.
When we want to find difference we have:
-3-(-1)=-2
But distance can not be negative.
Now, we need to count distance between numbers -3 and -1 on the number line.
So we have from -3 to -2, one place and from -2 to -1 one place it is 2 places.
So distance is 2.
Answer: (1,4) (2,7) (3,10)
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Step-by-step explanation:
If the parabola has y = -4 at both x = 2 and x = 3, then since a parabola is symmetric, its axis of symmetry must be between x = 2 and x = 3, or at x = 5/2. Our general equation can then be:
y = a(x - 5/2)^2 + k
Substitute (1, -2): -2 = a(-3/2)^2 + k
-2 = 9a/4 + k
Substitute (2, -4): -4 = a(-1/2)^2 + k
-4 = a/4 + k
Subtracting: 2 = 2a, so a = 1. Substituting back gives k = -17/4.
So the equation is y = (x - 5/2)^2 - 17/4
Expanding: y = x^2 - 5x + 25/4 - 17/4
y = x^2 - 5x + 2 (This is the standard form.)