Answer:
16 feet
Step-by-step explanation: if 1 inch on the drawing is 4 feet. seeing as the air hockey table is 4 inches the equation would be 4 x 4 which equals 16
Answer:
Step-by-step explanation:
if a and b are complementary angles,then a + b =90
44+b=90
∠b=90-44=46°
Number 2:
To solve the quadratic equation by using the factorization method;
![x^2-6x+8=0](https://tex.z-dn.net/?f=x%5E2-6x%2B8%3D0)
We note here that the factors of 8 that can also add up to -6 are -4 and -2.
Therefore we'll have;
![\begin{gathered} x^2-4x-2x+8=0 \\ (x^2-4x)-(2x+8)=0_{} \\ x(x-4)-2(x-4)=0 \\ \text{Collect like terms and we'll have;} \\ (x-4)(x-2)=0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2-4x-2x%2B8%3D0%20%5C%5C%20%28x%5E2-4x%29-%282x%2B8%29%3D0_%7B%7D%20%5C%5C%20x%28x-4%29-2%28x-4%29%3D0%20%5C%5C%20%5Ctext%7BCollect%20like%20terms%20and%20we%27ll%20have%3B%7D%20%5C%5C%20%28x-4%29%28x-2%29%3D0%20%5Cend%7Bgathered%7D)
Therefore, we now have;
![\begin{gathered} x-4=0,x-2=0 \\ x=4,x=2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x-4%3D0%2Cx-2%3D0%20%5C%5C%20x%3D4%2Cx%3D2%20%5Cend%7Bgathered%7D)
To solve the quadratic equation by using the quadratic equation formula, we would have;
![\begin{gathered} x^2-6x+8=0 \\ \text{The formula is;} \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{Where;} \\ a=1,b=-6,c=8 \\ x=\frac{-\lbrack-6\rbrack\pm\sqrt[]{(-6^2)-4(1)(8)}}{2(1)} \\ x=\frac{6\pm\sqrt[]{36-32}}{2} \\ x=\frac{6\pm\sqrt[]{4}}{2} \\ x=\frac{6\pm2}{2} \\ \text{Hence, we now have;} \\ x=\frac{6+2}{2},x=\frac{6-2}{2} \\ x=\frac{8}{2},x=\frac{4}{2} \\ x=4,x=2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2-6x%2B8%3D0%20%5C%5C%20%5Ctext%7BThe%20formula%20is%3B%7D%20%5C%5C%20x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D%20%5C%5C%20%5Ctext%7BWhere%3B%7D%20%5C%5C%20a%3D1%2Cb%3D-6%2Cc%3D8%20%5C%5C%20x%3D%5Cfrac%7B-%5Clbrack-6%5Crbrack%5Cpm%5Csqrt%5B%5D%7B%28-6%5E2%29-4%281%29%288%29%7D%7D%7B2%281%29%7D%20%5C%5C%20x%3D%5Cfrac%7B6%5Cpm%5Csqrt%5B%5D%7B36-32%7D%7D%7B2%7D%20%5C%5C%20x%3D%5Cfrac%7B6%5Cpm%5Csqrt%5B%5D%7B4%7D%7D%7B2%7D%20%5C%5C%20x%3D%5Cfrac%7B6%5Cpm2%7D%7B2%7D%20%5C%5C%20%5Ctext%7BHence%2C%20we%20now%20have%3B%7D%20%5C%5C%20x%3D%5Cfrac%7B6%2B2%7D%7B2%7D%2Cx%3D%5Cfrac%7B6-2%7D%7B2%7D%20%5C%5C%20x%3D%5Cfrac%7B8%7D%7B2%7D%2Cx%3D%5Cfrac%7B4%7D%7B2%7D%20%5C%5C%20x%3D4%2Cx%3D2%20%5Cend%7Bgathered%7D)
Therefore, using the quadratic equation formula, we also have;
Answer:
here you go
Step-by-step explanation:
42.87*0.15= $6.43 rounded