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ANTONII [103]
2 years ago
8

Sqrt(2x-4)=x- 6 solve for all solutions. show all work

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
3 0
Work shown above! Answer is x = 4 and x = 10
Basically you get all the numbers to one side which makes it a quadratic formula. Then you solve for x by factoring and that's it!

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<img src="https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7Bb%20%2B%20%20-%20%20%5Csqrt%7B%7Bb%7D%5E%7B2%7D%20-%204ac%20%7D%20%7D%7
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2 years ago
Krista's mom has told her she needs to make the pen ½ the size that she had planned (5 feet long by 4 ½ feet wide). What will th
saw5 [17]

Answer:

1. area of new pen = 11 \frac{1}{4} ft^{2}

2. i. 5 feet by 2\frac{1}{4} feet

ii. 2 ½ feet by 4 ½ feet

Step-by-step explanation:

The size of the pen as planned = 5 ft long by 4 ½ ft wide

Area of the pen = length x width

                           = 5 x 4 ½

                           = 5 x \frac{9}{2}

Area of the pen = \frac{45}{2}

                           = 22 ½ ft^{2}

But, Krista has to make the pen ½ the size of planned. So that;

area of new pen = ½ x 22 ½

        = ½ x \frac{45}{2}

        = \frac{45}{4}

        = 11 \frac{1}{4}

area of new pen = 11 \frac{1}{4} ft^{2}

The area of the new pen would be 11 \frac{1}{4} ft^{2}.

The possible values she could use are:

i. 5 feet by 2\frac{1}{4} feet

ii. 2 ½ feet by 4 ½ feet

6 0
3 years ago
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