Answer:
x (11 unit) is the longest side
Step-by-step explanation:
Given:
Sides;
7, x, and x−1
Perimeter = 28
Find:
Longest side
Computation:
Perimeter = sum of all sides
So,
7 + x + (x -1) = 28
2x + 6 = 28
x = 11
So,
x -1 = 11 - 1 = 10 unit
x (11 unit) is the longest side
You can solve this by plugging the given information into point-slope form, which is y -
![y_{1}](https://tex.z-dn.net/?f=%20y_%7B1%7D%20)
= m (x -
![x_{1}](https://tex.z-dn.net/?f=%20x_%7B1%7D%20)
). So plug in m for m, the y coordinate (5) for y_{1} , and the x coordinate (2) for x_{1}.
y - y_{1} = m (x - x_{1} Substitute the variables
y - 5 = 4 (x - 2) Use the Distributive Property
y - 5 = 4x - 8 Add 5 to both sides
y = 4x - 3
Parallelogram is the correct answer
Answer:
Step-by-step explanation:
![b = \frac{ {a}^{2} }{ {(a + c)}^{2} } \\ \\ b = \bigg(\frac{ {a} }{ {a + c}} \bigg)^{2} \\ \\ \sqrt{b} = \frac{a}{a + c} \\ \\ (a + c) \sqrt{b} = a \\ \\ a \sqrt{b} + c \sqrt{b} = a \\ \\ a \sqrt{b} - a = - c \sqrt{b} \\ \\ a( \sqrt{b} - 1) = - c \sqrt{b} \\ \\ a = \frac{ - c \sqrt{b} }{( \sqrt{b} - 1)} \\ \\ \purple{ \bold{a = \frac{c \sqrt{b} }{(1 - \sqrt{b}) } }}](https://tex.z-dn.net/?f=b%20%3D%20%20%5Cfrac%7B%20%7Ba%7D%5E%7B2%7D%20%7D%7B%20%7B%28a%20%2B%20c%29%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20b%20%3D%20%20%5Cbigg%28%5Cfrac%7B%20%7Ba%7D%20%7D%7B%20%7Ba%20%2B%20c%7D%7D%20%5Cbigg%29%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Csqrt%7Bb%7D%20%20%3D%20%20%5Cfrac%7Ba%7D%7Ba%20%2B%20c%7D%20%20%5C%5C%20%20%5C%5C%20%28a%20%2B%20c%29%20%5Csqrt%7Bb%7D%20%20%3D%20a%20%5C%5C%20%20%5C%5C%20a%20%5Csqrt%7Bb%7D%20%20%2B%20%20%20c%20%5Csqrt%7Bb%7D%20%20%3D%20a%20%5C%5C%20%20%5C%5C%20a%20%5Csqrt%7Bb%7D%20%20-%20a%20%3D%20%20%20-%20c%20%5Csqrt%7Bb%7D%20%20%5C%5C%20%20%5C%5C%20a%28%20%5Csqrt%7Bb%7D%20%20-%201%29%20%3D%20%20-%20c%20%5Csqrt%7Bb%7D%20%20%5C%5C%20%20%5C%5C%20a%20%3D%20%20%5Cfrac%7B%20-%20c%20%5Csqrt%7Bb%7D%20%7D%7B%28%20%5Csqrt%7Bb%7D%20%20-%201%29%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cpurple%7B%20%5Cbold%7Ba%20%3D%20%20%5Cfrac%7Bc%20%5Csqrt%7Bb%7D%20%7D%7B%281%20-%20%20%5Csqrt%7Bb%7D%29%20%7D%20%7D%7D)
Cost when the $5 coupon is applied first:
Cost, C = ($17.52 - $5.00) x 0.9
C = $12.52 x 0.9
C = $11.27
cost when the 10% coupon is applied first
Cost, C = (0.9 x $17.52) - $5.00
C = $15.77 - $5.00
C = $10.77