we know that
To find the solution let's factor the equation
![x^{2} + 4x - 4 = 8](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2B%204x%20-%204%20%3D%208%20%20)
Group terms that contain the same variable, and move the constant to the opposite side of the equation
![x^{2} + 4x = 8+4](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2B%204x%20%3D%208%2B4%20%20)
![x^{2} + 4x = 12](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2B%204x%20%3D%2012%20%20)
Complete the square. Remember to balance the equation by adding the same constants to each side
![x^{2} + 4x+4 = 12+4](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2B%204x%2B4%20%3D%2012%2B4%20%20)
![x^{2} + 4x+4 = 16](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2B%204x%2B4%20%3D%2016%20%20)
Rewrite as perfect squares
![(x+2)^{2} = 16](https://tex.z-dn.net/?f=%20%28x%2B2%29%5E%7B2%7D%20%3D%2016%20%20)
![(x+2)^{2} = 16\\ (x+2)=(+/-)\sqrt{16} \\ x1=-2+\sqrt{16} =-2+4=2\\ x2=-2-\sqrt{16} =-2-4=-6](https://tex.z-dn.net/?f=%20%20%28x%2B2%29%5E%7B2%7D%20%3D%2016%5C%5C%20%28x%2B2%29%3D%28%2B%2F-%29%5Csqrt%7B16%7D%20%5C%5C%20x1%3D-2%2B%5Csqrt%7B16%7D%20%3D-2%2B4%3D2%5C%5C%20x2%3D-2-%5Csqrt%7B16%7D%20%3D-2-4%3D-6%20)
therefore
the answer is the option
A. –6 or x = 2
Answer:
C. ![1\frac{1}{4}](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B4%7D)
Step-by-step explanation:
-This question tests our knowledge on subtraction.
-Given that the Math club had 1/8 left and the Latin club had 2 3/8 left.
#We subtract Math's leftover from Latin's left over to get how much more pizza did the Latin club have leftover than the math club:
![\bigtriangleup Pizza=Latin -Math\\\\=2\frac{3}{8}-1\frac{1}{8}\\\\=(2-1)+(\frac{3}{8}-\frac{1}{8})\\\\=1+\frac{2}{8}\\\\=1\frac{2}{8}\\\\=1\frac{1}{4}](https://tex.z-dn.net/?f=%5Cbigtriangleup%20Pizza%3DLatin%20-Math%5C%5C%5C%5C%3D2%5Cfrac%7B3%7D%7B8%7D-1%5Cfrac%7B1%7D%7B8%7D%5C%5C%5C%5C%3D%282-1%29%2B%28%5Cfrac%7B3%7D%7B8%7D-%5Cfrac%7B1%7D%7B8%7D%29%5C%5C%5C%5C%3D1%2B%5Cfrac%7B2%7D%7B8%7D%5C%5C%5C%5C%3D1%5Cfrac%7B2%7D%7B8%7D%5C%5C%5C%5C%3D1%5Cfrac%7B1%7D%7B4%7D)
Hence, Latin club has
more left than Math club.
Answer:
x is 100 and y is 40
Step-by-step explanation:
First make 500 into a number where it can be divisable by 3. 5x40=200
500-200=300, 300 divided by 3 equals 100
x=100
y=40
4 of her fruits were peaches, this is because 16 * ¹/₄ = 4.
Answer:
a
Step-by-step explanation: