Option 3 or 4 would be your correct answer
Answer:
a) -3 gallons per hour
b) y = -3x +14
Step-by-step explanation:
Rate of change is computed by dividing the amount of change by the interval over which it occurred.
<h3>a)</h3>
Here the amount of gas decreased from 14 to 2 gallons, so a decrease of 14-2 = 12 gallons. That occurred over a 4-hour period, so the rate of change is (-12 gallons)/(4 hours) = -3 gallons/hour.
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<h3>b)</h3>
The initial amount was 14 gallons, so the equation for the line describing remaining gas will be ...
y = -3x +14 . . . . gas in the tank after x hours
Answer:
y = 25.20 m
Step-by-step explanation:
By applying tangent rule in ΔABC,
tan(25)° = 
= 
BC = 
--------(1)
Now we apply tangent rule in ΔABD,
tan(15)° = 
tan(15)° = 
BC + 40 = 
BC = - 40 -------(2)
From equation (1) and (2),
![y[\frac{1}{\text{tan}(25)}-\frac{1}{\text{tan}(25)}]=-40](https://tex.z-dn.net/?f=y%5B%5Cfrac%7B1%7D%7B%5Ctext%7Btan%7D%2825%29%7D-%5Cfrac%7B1%7D%7B%5Ctext%7Btan%7D%2825%29%7D%5D%3D-40)
y(2.1445 - 3.7321) = -40
1.5876y = 40
y = 25.1953
y ≈ 25.20 m
Therefore, measure of y is 25.20 m.
I believe it’s SAS. I hope I’m right
The student added 9 1/2 instead of adding -9 1/2
