Answer:
y = -5x +5
Step-by-step explanation:
slope = (15 - -5)/(-2 - 2) = 20/-4 = <u>-5</u>
y int = 5
Answer:
Option 2.
Step-by-step explanation:
You are bisecting angle BAC with pencil and compass.
Answer:
![DC=\frac{8}{3}\ units](https://tex.z-dn.net/?f=DC%3D%5Cfrac%7B8%7D%7B3%7D%5C%20units)
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The triangle ABD is an isosceles triangle
because
AB=BD
The segment BM is a perpendicular bisector segment AD
so
<em>In the right triangle ABM</em>
Applying the Pythagorean Theorem
![BM^2=AB^2-AM^2](https://tex.z-dn.net/?f=BM%5E2%3DAB%5E2-AM%5E2)
we have
![AB=5\ units\\AM=x\ units](https://tex.z-dn.net/?f=AB%3D5%5C%20units%5C%5CAM%3Dx%5C%20units)
substitute
![BM^2=5^2-x^2](https://tex.z-dn.net/?f=BM%5E2%3D5%5E2-x%5E2)
-----> equation A
<em>In the right triangle BMC</em>
Applying the Pythagorean Theorem
![BM^2=BC^2-MC^2](https://tex.z-dn.net/?f=BM%5E2%3DBC%5E2-MC%5E2)
we have
![BC=7\ units\\MC=AC-AM=(9-x)\ units](https://tex.z-dn.net/?f=BC%3D7%5C%20units%5C%5CMC%3DAC-AM%3D%289-x%29%5C%20units)
substitute
![BM^2=7^2-(9-x)^2](https://tex.z-dn.net/?f=BM%5E2%3D7%5E2-%289-x%29%5E2)
![BM^2=49-81+18x-x^2](https://tex.z-dn.net/?f=BM%5E2%3D49-81%2B18x-x%5E2)
----> equation B
equate equation A and equation B
![-x^2+18x-32=25-x^2](https://tex.z-dn.net/?f=-x%5E2%2B18x-32%3D25-x%5E2)
solve for x
![18x=25+32\\18x=57\\\\x=\frac{57}{18}](https://tex.z-dn.net/?f=18x%3D25%2B32%5C%5C18x%3D57%5C%5C%5C%5Cx%3D%5Cfrac%7B57%7D%7B18%7D)
Simplify
![x=\frac{19}{6}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B19%7D%7B6%7D)
<em>Find the length of DC</em>
![DC=AC-2x](https://tex.z-dn.net/?f=DC%3DAC-2x)
substitute the given values
![DC=9-2(\frac{19}{6})](https://tex.z-dn.net/?f=DC%3D9-2%28%5Cfrac%7B19%7D%7B6%7D%29)
![DC=9-\frac{19}{3}\\\\DC=\frac{8}{3}\ units](https://tex.z-dn.net/?f=DC%3D9-%5Cfrac%7B19%7D%7B3%7D%5C%5C%5C%5CDC%3D%5Cfrac%7B8%7D%7B3%7D%5C%20units)
Answer:
40
Step-by-step explanation:
IT has doubled in size twice 75 =20 +75 =40 = 150 minutes.