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axleon11
06.01.2021 •
Mathematics
Hello! Please help me with this question. I’ll mark Thank you :)
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Ответ:
Step-by-step explanation:
In order to find how much credit is left after 92 minutes, we need to
1. Figure out the equation that describes this graph (since we don't know the y-intercept)
2. Find the credit remaining after 92 minutes using the equation formed.
Figuring out the equation of this graph:First things first is to figure out the slope of this graph. Since this is a linear function, the slope will remain constant, and we can note something about slope here.
The slope of a line will be it's change in x divided by its change in y, often referred to with a formula.
Since we know two points on this graph, we can find the changes in the x and y then divide for the slope.
Since minutes used is the x, and credit left is the y, we have two points.
(41, 19.26) and (68, 15.48).
The change in y is -3.78, asThe slope will then be
which comes out to be -0.14.
Now that we know the slope, that means our equation will look something like
- however, we still have b to solve for!
To solve for it, we can substitute one of our points in - let's do (41, 19.26) - to the equation and solve for b.
Now that we know that b = 25, we can plug it into our equation, making the final equation that represents this scenario
![y = -0.14x+25](/tpl/images/1017/2133/5ed1d.png)
Solving for 92 minutesNow that we know the equation to our graph, we can substitute in 92 minutes as the x value to find our y value (credit left).
Therefore, after 92 minutes, the amount of credit left is $12.12
Hope this helped!
Ответ:
Answer
5 and -4
Explanation
If the two triangle are congruent then they have the same area.
20 = x² - x
x² - x - 20 = 0
x² - x + (1/2)² = 20 + (1/2)²
(x - 1/2)² = 20.25
x - 1/2 = √20.25
x - 1/2 = 4.5 or x - 1/2 = - 4.5
x = 4 1/2 + 1/2 x = -4 1/2 + 1/2
= 5 = -4
The values of x are 5 and -4.