Answer:
a
Step-by-step explanation:
Answer:
![\large \boxed{9.22}](https://tex.z-dn.net/?f=%5Clarge%20%5Cboxed%7B9.22%7D)
Step-by-step explanation:
The formula for the distance between two points is
![d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_%7B2%7D%20-%20x_%7B1%7D%29%5E%7B2%7D%20%2B%20%28y_%7B2%7D%20-%20y_%7B1%7D%29%5E%7B2%7D%7D)
x₂ - x₁ = 4 - (-2) = 9
y₂ - y₁ = 3 - (-4) = 7
The formula, in effect, creates a right triangle, so we can use the Pythagorean theorem to calculate the distance.
![\begin{array}{rcl}AB & = & \sqrt{6^{2} + 7^{2}}\\& = & \sqrt{36 + 49}\\& = & \sqrt{85}\\& \approx & \mathbf{9.220} \end{array}\\\text{The approximate distance between the points is $\large \boxed{\mathbf{9.220}}$}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7DAB%20%26%20%3D%20%26%20%20%5Csqrt%7B6%5E%7B2%7D%20%2B%207%5E%7B2%7D%7D%5C%5C%26%20%3D%20%26%20%5Csqrt%7B36%20%2B%2049%7D%5C%5C%26%20%3D%20%26%20%5Csqrt%7B85%7D%5C%5C%26%20%5Capprox%20%26%20%5Cmathbf%7B9.220%7D%20%5Cend%7Barray%7D%5C%5C%5Ctext%7BThe%20approximate%20distance%20between%20the%20points%20is%20%24%5Clarge%20%5Cboxed%7B%5Cmathbf%7B9.220%7D%7D%24%7D)
To simplify this fraction you would divide by the fraction 3/3 and this fraction would then reduce to 1/12
Answer:
-2
Step-by-step explanation:
The correct answer is D because the z cancels each other out
think of it this way: -1z +1z=0
place a number in front to help you remeber there is a 1 in front of the variable