Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
The picture of the question in the attached figure
Part 1
Find the length side AB
we know that
----> by SOH (opposite side divided by the hypotenuse)
substitute the given values

solve for AB

Part 2
Find the length side AC
we know that
----> by TOA (opposite side divided by the adjacent side)
substitute the given values

solve for AC

Recall that

where
is the angle between the vectors
whose magnitudes are
, respectively.
We have


Answer:
(x, y) = (-3, 2)
Step-by-step explanation:
Put the given value of y into the equation and solve for x.
... 7·2 +3x = 5
... 3x = -9 . . . . . . subtract 14
... x = -3 . . . . . . . divide by the x-coefficient
The solution (x, y) is (-3, 2).
Answer:

Step-by-step explanation:
Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE <em>RATE OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], so 1⅕ becomes −⅚, and we move forward with plugging the information into the Slope-Intercept formula:
![\displaystyle -8 = -\frac{5}{6}[24] + b \hookrightarrow -8 = -20 + b; 12 = b \\ \\ \boxed{y = -\frac{5}{6}x + 12}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-8%20%3D%20-%5Cfrac%7B5%7D%7B6%7D%5B24%5D%20%2B%20b%20%5Chookrightarrow%20-8%20%3D%20-20%20%2B%20b%3B%2012%20%3D%20b%20%5C%5C%20%5C%5C%20%5Cboxed%7By%20%3D%20-%5Cfrac%7B5%7D%7B6%7Dx%20%2B%2012%7D)
To write this in Linear Standard Form, perfourm he following:
y = −⅚x + 12
+ ⅚x + ⅚x
___________
⅚x + y = 12 [We cannot leave the equation this way, so multiply the equation by the denominatour to eradicate the fraction.]
6[⅚x + y = 12]

I am joyous to assist you at any time.