Answer:
10 010 10 10 10 10 101 01 mo1
Step-by-step explanation:
Answer:
![y - 7 = \frac{1}{4}(x + 2)](https://tex.z-dn.net/?f=y%20-%207%20%3D%20%5Cfrac%7B1%7D%7B4%7D%28x%20%2B%202%29)
Step-by-step explanation:
Insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, <em>y</em><em> </em><em>-</em><em> </em><em>y</em><em>₁</em><em> </em><em>=</em><em> </em><em>m</em><em>(</em><em>x</em><em> </em><em>-</em><em> </em><em>x</em><em>₁</em><em>)</em><em>,</em><em> </em>all the negative symbols give the OPPOSITE terms of what they really are. Plus, perpendicular lines have OPPOSITE MULTIPLICATIVE INVERSE <em>RATE OF CHANGES</em> [<em>SLOPES</em>] so −4 becomes ¼.
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Answer:
504
Step-by-step explanation:
She can pick from 9 first, 8 second, and 7 third so multiple all numbers together.
9*8*7
No they are not, 6/8 could also be represented as 3/4. Therefore they are not equivalent. You would divide each side by the factor they have in common such as 2.
Answer:
m∠DEF = 90°
Step-by-step explanation:
As we know to determine the angle between two lines with the given equations or vertices we use the formula
![tan\theta =\frac{m_{2}-m_{1}}{1+m_{2}m_{1}}](https://tex.z-dn.net/?f=tan%5Ctheta%20%3D%5Cfrac%7Bm_%7B2%7D-m_%7B1%7D%7D%7B1%2Bm_%7B2%7Dm_%7B1%7D%7D)
Now we have been given the vertices of a triangle as D(5, 7) E(4, 3) F(8, 2)
To measure m∠ DEF will use the formula
Since slope of DE ![m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=m_%7B1%7D%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
![m_{1}=\frac{7-3}{5-4}=\frac{4}{1}=4](https://tex.z-dn.net/?f=m_%7B1%7D%3D%5Cfrac%7B7-3%7D%7B5-4%7D%3D%5Cfrac%7B4%7D%7B1%7D%3D4)
Slope of EF ![m_{2}=\frac{3-2}{4-8}=\frac{1}{-4}=-\frac{1}{4}](https://tex.z-dn.net/?f=m_%7B2%7D%3D%5Cfrac%7B3-2%7D%7B4-8%7D%3D%5Cfrac%7B1%7D%7B-4%7D%3D-%5Cfrac%7B1%7D%7B4%7D)
Now m∠DEF = ![tan\theta = \frac{\frac{17}{4}}{1-1}=\infty](https://tex.z-dn.net/?f=tan%5Ctheta%20%3D%20%5Cfrac%7B%5Cfrac%7B17%7D%7B4%7D%7D%7B1-1%7D%3D%5Cinfty)
Therefore ![\theta =90](https://tex.z-dn.net/?f=%5Ctheta%20%3D90)
Answer is ∠DEF = 90°