Answer:
Step-by-step explanation:
The straight line equation is:
y = m*x + b Where m is the slope of the line and b the intercept with y-axis, in our case y is the depth of the tank and x (time in lapsus of 3 hours).
The slope m = ( y₂ - y₁ ) / (x₂ - x₁)
We have point A ( 3 , 8 ) and point B ( 6 , 7 )
m = ( 6 - 3 ) / (7 - 8 ) m = -3
We see that each 3 hours time-depth decreases 1 in.
Then to find the depth at the beginning of x-axis
At noon 12 tank was 9 inches, three hours before at 9 in the morning the depth was 10 inches and:
9 in the morning 10
6 in the morning 11
3 in the midnight 12
12 in the night 13
Then 13 is the intercept with y-axis
then the equation is:
h = - 3*x + 13
Note x is time in lapsus of 3 hours
You divide everything by 2.
Your answer is
Y=1/2 + 3/2
Answer:
7/5
Step-by-step explanation:
To solve this problem we will use the formula to find the slope of a line given two points (x₁, y₁), (x₂, y₂)
The formula is:
So, we're going to use the points (2,5), (-3, -2) in this formula.
Therefore, the slope is 7/5
2(7/2)^x = 49/2
Divide both sides by 2:
(7/2)^x = 49/4
I notice that 49/4 can be rewritten as (7/2)^2, so we now have:
(7/2)^x = (7/2)^2
The only way for this to be true is if x = 2. Thus, we are done.
Answer:
x=69.41860973
Step-by-step explanation:
We can use the law of sines
sin x sin 55
------------- = -----------
4 3.5
Using cross products
3.5 sin x = 4 sin 55
Divide each side by 3.5
sin x = 4/3.5 sin 55
Take the inverse sin of each side
x = sin ^-1 ( 4/3.5 sin 55)
x=69.41860973
