Considering the perimeter concept, we have that:
- Danielle's mistake is that she did not consider two outside edges, one of length 6x - 4 and the other of length 12x + 3.
- The correct perimeter, in feet, is: P = 50x + 27.
<h3>What is the perimeter of a polygon?</h3>
The perimeter of a polygon is given by the sum of all the lengths of the outside edges of the polygon.
For this problem, the outside edges are given as follows:
- 2 of 6x - 4, due to the isosceles triangle.
- 2 of 12x + 3, due to the rectangle.
- 1 of 14x + 13, also due to the rectangle, and only one, because of the other part of the rectangle with the same length is internal to the prism;
Danielle's mistake is that she did not consider two outside edges, one of length 6x - 4 and the other of length 12x + 3. Considering all the edges, the perimeter is given by:
P = 2(6x - 4) + 2(12x + 3) + 14x + 13
P = 12x - 8 + 24x + 6 + 14x + 13
P = 12x + 24x + 14x + 8 + 6 + 13
P = 50x + 27.
More can be learned about the perimeter of a polygon at brainly.com/question/3310006
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The value of 6 in 106,534 is 6,000.
Do you have a calculator? you can solve it by substituting x.
y=16x^2
0: y = 16(0)^2 = 16(0) = 0
(x = 0 , y = 0)
0.5: y = 16(0.5)^2 = 16(0.25) = 4
(x = 0.5 , y = 4)
1: y = 16(1)^2 = 16(1) = 16
(x = 1 , y = 16)
1.5: y = 16(1.5)^2 = 16(2.25) = 36
(x = 1.5 , y = 36)
2: y = 16(2)^2 = 16(4) = 64
(x = 2 , y = 64)
2.5: y = 16(2.5)^2 = 16(6.25) = 100
(x = 2.5 , y = 100)
3 : y = 16(3)^2 = 16(9) = 144
(x = 3 , y = 144)
4: y = 16(4)^2 = 16(16) = 256
(x = 4 , y = 256)
if you multiply a negative number by itself, it will become positive. So, -4, -3, -2.5, -2, -1.5, -1, -0.5 will be the same as the positive 4, 3, 2.5, 2, 1.5, 1, 0.5.
I'm not sure about the pattern, but if you graph it, it'll be symmetrical across the y-axis.
Answer:
-9
Step-by-step explanation: a negative multiplied or divided by a positive will give you a negative answer
Answer: Let length = 2x + 3
Let width = x
Area = 54 ft2
length × width = Area
x(2x + 3) = 54
2x2 + 3x = 54
2x2 + 3x - 54 = 0
(2x - 9)(x + 6) = 0
x = 9/2 and x = -6
x = 4.5 and x = -6
We accept x = 4.5 because length cannot be a negative value. Substituting this value into the dimensions:
width = 4.5 ft
length = 2(4.5) + 3 = 9 + 3 = 12 ft
Step-by-step explanation:
