A glacier in Alaska moves about 29.9 meters a day. About how much farther will mobe in 1,000 days than it will move in 100 days
1 answer:
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Please find the question attached below.
The equation that models the decrease in water (in gallons) of the fish tank over time (in hours) is y = - 20x + 180.
We know that a linear equation with one variable is one that contains just one variable.
Here we have to find the appropriate equation that models the given chart.
For option A. :
y = - 40x + 140
At x = 2, y = - 40*2 + 140 = - 80 + 140 = 60 =/ 140
So this option is incorrect.
For option B.:
y = - 40x + 180
At x = 2, y = - 40*2 + 180 = - 80 + 180 = 100 =/ 140
So this option is incorrect.
For option C.:
y = - 20x + 140
At x = 2, y = - 20*2 + 140 = - 40 + 140 = 100 =/ 140
So this option is incorrect.
For option D.:
y = - 20x + 180
At x = 2, y = - 20*2 + 180 = - 40 + 180 = 140
So this option is correct.
Therefore, the equation that models the decrease in water (in gallons) of the fish tank over time (in hours) is y = - 20x + 180. So, the last option is correct.
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Answer:
- B. Yes, because ED is perpendicular to DT which makes a right angle.
Step-by-step explanation:
Plot the given points and connect in pairs to get a triangle.
Visually we can say it is a right triangle as legs TD and ED seem perpendicular.
Let's confirm this by finding the slopes.
<u>Slope of TD:</u>
- m = (-1 - 4)/(1 -(-2)) = -5/3
<u>Slope of ED:</u>
- (-1 - 2)/ (1 - 6) = -3/-5 = 3/5
<u>Product of the slopes is:</u>
- -5/3*3/5 = -1
This confirms DT⊥ED
Correct choice is B
