Answer:
yay! :D
Step-by-step explanation:
Answer:
Let's solve for f.
4
r
+
8
f
=
5
g
Step 1: Multiply both sides by fr.
4f+8r=
5fr
g
Step 2: Multiply both sides by g.
4fg+8gr=5fr
Step 3: Add -5fr to both sides.
4fg+8gr+−5fr=5fr+−5fr
4fg−5fr+8gr=0
Step 4: Add -8gr to both sides.
4fg−5fr+8gr+−8gr=0+−8gr
4fg−5fr=−8gr
Step 5: Factor out variable f.
f(4g−5r)=−8gr
Step 6: Divide both sides by 4g-5r.
f(4g−5r)
4g−5r
=
−8gr
4g−5r
f=
−8gr
4g−5r
Answer:
f=−8gr4g−5r
Answer:
$1200
Step-by-step explanation:
S + C = 1200
S = C + 900
C + 900 + C = 1200
2C + 900 = 1200
2C = 300
C = 150
The chair costs $150. The sofa is $1050.
Together they cost $1200.
Answer:
EAC LINE TO~triangle BDC
Step-by-step explanation:
B AND D IS NOT UQAUL
AEC IS THE FIRST GIVEN
SO YOU FINE THE ALL RIGHT ANGLES RIGHT
as you already know, the slope of the tangent line is simply the derivative of the function, so
![r=2cos(3\theta )\implies \cfrac{dr}{d\theta }=2\stackrel{chain~rule}{\left[ -sin(3\theta )\cdot 3 \right]} \\\\\\ \left. \cfrac{dr}{d\theta }=-6sin(3\theta ) \right|_{\theta =\frac{\pi }{6}}\implies -6sin\left( 3\cdot \frac{\pi }{6} \right)\implies -6sin\left( \frac{\pi }{2} \right)\implies -6](https://tex.z-dn.net/?f=r%3D2cos%283%5Ctheta%20%29%5Cimplies%20%5Ccfrac%7Bdr%7D%7Bd%5Ctheta%20%7D%3D2%5Cstackrel%7Bchain~rule%7D%7B%5Cleft%5B%20-sin%283%5Ctheta%20%29%5Ccdot%203%20%5Cright%5D%7D%20%5C%5C%5C%5C%5C%5C%20%5Cleft.%20%5Ccfrac%7Bdr%7D%7Bd%5Ctheta%20%7D%3D-6sin%283%5Ctheta%20%29%20%5Cright%7C_%7B%5Ctheta%20%3D%5Cfrac%7B%5Cpi%20%7D%7B6%7D%7D%5Cimplies%20-6sin%5Cleft%28%203%5Ccdot%20%5Cfrac%7B%5Cpi%20%7D%7B6%7D%20%5Cright%29%5Cimplies%20-6sin%5Cleft%28%20%5Cfrac%7B%5Cpi%20%7D%7B2%7D%20%5Cright%29%5Cimplies%20-6)
