ans is b...multiply first eqn by -2
=》 -6x -4y = -48...eqn 3
add eqn 2 and 3...
=》 -2y = -18
=》 y = 9...x =2
Answer:
1) 1/4
2) 1 1/2
3) 9/5
4) 4 pounds
Step-by-step explanation:
0.25 ....decimal
3/4, 3:4....ratio
2/3 = 6/9....equivalent fractions, fractions
4/8 --> 1/2....equivalent fractions,fraction,simplest form
Answer:
Step-by-step explanation:
CD is Pole
∠CAD = 4° {Alternate interior angles}
ΔCAD,
![\dfrac{opposite \ side}{adjacent \ side}= tan 4\\\\ \dfrac{90}{AD}=tan \ 4\\\\ \dfrac{90}{AD} = 0.069\\\\90 = 0.069*AD\\\\ \dfrac{90}{0.069}=AD\\\\AD = 1304 \ ft](https://tex.z-dn.net/?f=%5Cdfrac%7Bopposite%20%5C%20side%7D%7Badjacent%20%5C%20side%7D%3D%20tan%204%5C%5C%5C%5C%20%5Cdfrac%7B90%7D%7BAD%7D%3Dtan%20%5C%204%5C%5C%5C%5C%20%5Cdfrac%7B90%7D%7BAD%7D%20%3D%200.069%5C%5C%5C%5C90%20%3D%200.069%2AAD%5C%5C%5C%5C%20%5Cdfrac%7B90%7D%7B0.069%7D%3DAD%5C%5C%5C%5CAD%20%3D%201304%20%5C%20ft)
In ΔCDB,
∠B = 5° {Alternate interior angles}
![Tan \ 5 = \dfrac{90}{BD}\\\\0.09* BD = 90\\\\BD = \dfrac{90}{0.09}\\\\BD = 1000 \ ft](https://tex.z-dn.net/?f=Tan%20%5C%205%20%3D%20%5Cdfrac%7B90%7D%7BBD%7D%5C%5C%5C%5C0.09%2A%20BD%20%3D%2090%5C%5C%5C%5CBD%20%3D%20%20%20%5Cdfrac%7B90%7D%7B0.09%7D%5C%5C%5C%5CBD%20%3D%201000%20%5C%20ft)
Answer:
1. the y-intercept is 9.5 and it means the starting length of the candle
2. the slope is -1/2 and it means that the candle burns 1/2 an inch every hour
3. it burns an inch every 2 hours, it is 9.5 inches long, so 19 hours it'll take to burn.