Step-by-step explanation:
I really want to help but for me the picture is blurry
Here is the set up:
10,955 = x^2 -20x + 30
Solve for x to find your answer.
The equation of the line in slope-intercept form: y = (1/2)x - 7.
Explanation:
Slope-intercept form: y = mx + c
m (slope) = 1/2
Let (x1, y1) be (6, -4)
Using point-slope form,
y - y1 = m(x - x1)
y - (-4) = 1/2 * (x - 6)
y + 4 = (1/2)x - 3
y = (1/2)x - 7
Answer:
No, they are not equal
Step-by-step explanation:
3(2x + 5) - (3x – 4)
Lets simplify this expression
Distribute
6x +15 -3x +4
3x +19
This is not the same as 3x+11
They are not equivalent
The distance between two points can be calculated using the formula;
![d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%5B%5D%7B%28y_2-y_1%29%5E2%2B%28x_2-x_1%29%5E2%7D)
Given the two points;
![\begin{gathered} A(3,2) \\ B(3,5) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%283%2C2%29%20%5C%5C%20B%283%2C5%29%20%5Cend%7Bgathered%7D)
Substituting the coordinates, we have;
![\begin{gathered} AB=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2} \\ AB=\sqrt[]{(5-2_{})^2+(3_{}-3_{})^2} \\ AB=\sqrt[]{(3)^2+(0_{})^2} \\ AB=\sqrt[]{9} \\ AB=3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20AB%3D%5Csqrt%5B%5D%7B%28y_2-y_1%29%5E2%2B%28x_2-x_1%29%5E2%7D%20%5C%5C%20AB%3D%5Csqrt%5B%5D%7B%285-2_%7B%7D%29%5E2%2B%283_%7B%7D-3_%7B%7D%29%5E2%7D%20%5C%5C%20AB%3D%5Csqrt%5B%5D%7B%283%29%5E2%2B%280_%7B%7D%29%5E2%7D%20%5C%5C%20AB%3D%5Csqrt%5B%5D%7B9%7D%20%5C%5C%20AB%3D3%20%5Cend%7Bgathered%7D)
For the second point;
![\begin{gathered} A^{\prime}(3,-2) \\ B^{\prime}(3,-5) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%5E%7B%5Cprime%7D%283%2C-2%29%20%5C%5C%20B%5E%7B%5Cprime%7D%283%2C-5%29%20%5Cend%7Bgathered%7D)
Substituting the coordinateswe have;
![\begin{gathered} A^{\prime}B^{\prime}=\sqrt[]{(-5-(-2)_{})^2+(3_{}-3_{})^2} \\ A^{\prime}B^{\prime}=\sqrt[]{(-5+2_{})^2+(0_{})^2} \\ A^{\prime}B^{\prime}=\sqrt[]{(-3)^2+0} \\ A^{\prime}B^{\prime}=\sqrt[]{9} \\ A^{\prime}B^{\prime}=3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%5E%7B%5Cprime%7DB%5E%7B%5Cprime%7D%3D%5Csqrt%5B%5D%7B%28-5-%28-2%29_%7B%7D%29%5E2%2B%283_%7B%7D-3_%7B%7D%29%5E2%7D%20%5C%5C%20A%5E%7B%5Cprime%7DB%5E%7B%5Cprime%7D%3D%5Csqrt%5B%5D%7B%28-5%2B2_%7B%7D%29%5E2%2B%280_%7B%7D%29%5E2%7D%20%5C%5C%20A%5E%7B%5Cprime%7DB%5E%7B%5Cprime%7D%3D%5Csqrt%5B%5D%7B%28-3%29%5E2%2B0%7D%20%5C%5C%20A%5E%7B%5Cprime%7DB%5E%7B%5Cprime%7D%3D%5Csqrt%5B%5D%7B9%7D%20%5C%5C%20A%5E%7B%5Cprime%7DB%5E%7B%5Cprime%7D%3D3%20%5Cend%7Bgathered%7D)
Therefore;