Least common denominator of those two fractions is 15
Because 15 cant go any less
3 × 1 = 3 15 × 1 = 15
3 × 2 = 6
3 × 3 = 9
3 × 4 = 12
3 × 5 = 15
<h3><u>The function used to find the perimeter of a square, represented by y, given the length of a side, represented by x is: y = 4x</u></h3>
<em><u>Solution:</u></em>
Let "y" be the perimeter of square
Let the length of side be "x"
From given,
The perimeter of a square is the product of four and the length of a side
Which means,
![\text{Perimeter of square } = 4 \times \text{ length of side }](https://tex.z-dn.net/?f=%5Ctext%7BPerimeter%20of%20square%20%7D%20%3D%204%20%5Ctimes%20%5Ctext%7B%20length%20of%20side%20%7D)
Substituting the given variables,
![y = 4 \times x\\\\y = 4x](https://tex.z-dn.net/?f=y%20%3D%204%20%5Ctimes%20x%5C%5C%5C%5Cy%20%3D%204x)
Thus perimeter of square is y = 4x
<u><em>Answer:</em></u>
The slope of the line is 77
<u><em>Explanation:</em></u>
We know the speed is constant and that the mile-marker location over time can be represented by a line. This means that the equation is linear.
<u>The slope can, therefore, be calculated as follows:</u>
![slope = \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=slope%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
where (x₁ , y₁) and (x₂ , y₂) are two points on the line
We are given that the two points (1, 123) and (3, 277) are two points in the line
<u>Substitute with them in the above equation to get the slope as follows:</u>
![slope = \frac{277-123}{3-2}=77](https://tex.z-dn.net/?f=slope%20%3D%20%5Cfrac%7B277-123%7D%7B3-2%7D%3D77)
Hope this helps :)
The answer would be 11.6619037897 because if you make a triangle out of it the sides are 10 and 6 so a^2 + b^2 = c^2 and you get 136 and if you find the square root of that it is <span>11.6619037897</span>
Answer:
Step-by-step explanation:
<u>We know that</u>
- The diagonals of a rectangle are of equal length
- The diagonals bisect each other
<u>Considering the above we have:</u>
<u>Substitute the given values and solve for x:</u>
- 24x - 8 = 2*(8x + 4)
- 24x - 8 = 16x + 8
- 24x - 16x = 8 + 8
- 8x = 16
- x = 16/2
- x = 2