6-4 because the equation for slope is m=y2-y1/x2-x1
Answer:
![x=-\frac{7}{6}\\x=\frac{1}{6}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B7%7D%7B6%7D%5C%5Cx%3D%5Cfrac%7B1%7D%7B6%7D)
Step-by-step explanation:
The equation to solve is:
![(x+\frac{1}{2})^2=\frac{4}{9}](https://tex.z-dn.net/?f=%28x%2B%5Cfrac%7B1%7D%7B2%7D%29%5E2%3D%5Cfrac%7B4%7D%7B9%7D)
To get rid of the "square", we need to take square root of both sides:
![\sqrt{(x+\frac{1}{2})^2}=\sqrt{\frac{4}{9}}\\x+\frac{1}{2}=\frac{\sqrt{4}}{\sqrt{9}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x%2B%5Cfrac%7B1%7D%7B2%7D%29%5E2%7D%3D%5Csqrt%7B%5Cfrac%7B4%7D%7B9%7D%7D%5C%5Cx%2B%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B%5Csqrt%7B4%7D%7D%7B%5Csqrt%7B9%7D%7D)
Then we use algebra to find the value(s) of x. Remember, when we take square root, we have to add up a "+-" (on the right side). Shown below:
![x+\frac{1}{2}=+-\frac{\sqrt{4}}{\sqrt{9}}\\x+\frac{1}{2}=+-\frac{2}{3}\\x=\frac{2}{3}-\frac{1}{2}=\frac{1}{6}\\x=-\frac{2}{3}-\frac{1}{2}=-\frac{7}{6}](https://tex.z-dn.net/?f=x%2B%5Cfrac%7B1%7D%7B2%7D%3D%2B-%5Cfrac%7B%5Csqrt%7B4%7D%7D%7B%5Csqrt%7B9%7D%7D%5C%5Cx%2B%5Cfrac%7B1%7D%7B2%7D%3D%2B-%5Cfrac%7B2%7D%7B3%7D%5C%5Cx%3D%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B6%7D%5C%5Cx%3D-%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B1%7D%7B2%7D%3D-%5Cfrac%7B7%7D%7B6%7D)
So these are 2 answers for x.
Answer:
no
Step-by-step explanation:
The given lengths do not satisfy the Pythagorean theorem:
34² ≠ 33² +16²
1156 ≠ 1089 +256
The given sides do not form a right triangle.
_____
<em>Alternate solution</em>
You can also compute 34² -33² = (34+33)(34-33) = 67·1 = 67 ≠ 16².
Even simpler, a Pythagorean triple will never have zero or two even numbers. The numbers (16, 33, 34) cannot be a Pythagorean triple.
Answer:
Angles in ascending order:
Q, R, S
Step-by-step explanation:
The side with the biggest number also has the biggest angle degree. The side with the smallest number also has the smallest angle degree.
Answer:
Energy consumed = 1.73× 10⁵ J
Step-by-step explanation:
Given:
Power P = 48.1 W, Time = 1 Hrs= 3600 S
Formula of Power = Energy / Time
⇒ Energy = Power × Time
Energy = 48.1 W × 3600 S = 173,160 Joule = 1.73× 10⁵ J