The Pythagorean Theorem describes the relationship of the lengths of the sides of a right triangle.
Answer:
No real solutions;
![x=i+1.5](https://tex.z-dn.net/?f=x%3Di%2B1.5)
Step-by-step explanation:
The easiest method to solve an algebraic equation is to use inverse operations. This applies to the given equation;
![(2x-3)^2=-4\\](https://tex.z-dn.net/?f=%282x-3%29%5E2%3D-4%5C%5C)
- Take the square root of both sides
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As one can see, the right side is a negative number. However, one cannot take the square root of a negative number and get a real result. Therefore, one must use imaginary numbers. Remember, the imaginary unit (
) represents (
).
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![2x-3=2i](https://tex.z-dn.net/?f=2x-3%3D2i)
- Add (3) to undo the (-3)
![2x=2i+3](https://tex.z-dn.net/?f=2x%3D2i%2B3)
- Divide by (2) to remove the coefficient of (2x)
÷
÷
![x=\frac{2i+3}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2i%2B3%7D%7B2%7D)
Simplify,
![x=i+1.5](https://tex.z-dn.net/?f=x%3Di%2B1.5)
P=Perimeter
W=Width
L=Length
Assuming the 210 feet is the perimeter
P = 210 feet
P = 2W + 2L
W = 2/3 L . . . so sub W with 2/3 L in the equation
P = 2(2/3 L)+ 2(L) = 210 feet
4/3 L + 2L = 210 feet
10/3 L = 210 feet
Multiply both sides by 3/10 to solve for L
L = (210)(3/10) = 63 feet
W = 2/3 L so W = 2/3 x 63 = 42 feet
Garden is 42 feet wide by 63 feet long
The greatest number can be 2 Because ye answer is 1 r 3 so he will have 3 left over so he made 2
Firstly, solve the inequality for y using subtraction:
y > -6 - 4x
Then plug in the x and y values from the answer until the inequality proves true:
-12 > -6 -4(1)
-12 > -10 (false)
Then the next choice:
-9 > -6 - 4(0)
-9 > -6 (false)
Next choice:
-1 > -6 -4(-1)
-1 > -6 + 4
-1 > -2 (true)
Therefore, C is the correct answer. Hope this helps and let me know if you need more help!