Answer:
Catalina skates a total of 120 feet
Step-by-step explanation:
In order to determine how far she skates, create a right triangle. We know each legs' value with one being 30 and the other 40. Now we can find the hypotenuse by using the Pythagorean Theorem.
a^2 + b^2 = c^2
30^2 + 40^2= c^2
900 + 1600 = c^2
2500 = c^2
50 = c
Now that we have all 3 sides of the right triangle, add them together for the total distance.
30 + 40 + 50 = 120 feet
Complete question :
The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is ý = -0.36x + 94.5.
Video Games (Minutes) Time with Family (Minutes)
40 80
55 75
70 69
85 64
A) According to the line of best fit, the predicted number of minutes spent with family for someone who spent 36 minutes playing video games is 81.54.
B) Is it reasonable to use this line of best fit to make the above prediction?
Answer:
81. 54
4) The estimate, a predicted time of 81.54 minutes, is both reliable and reasonable.
Step-by-step explanation:
Given that :
The equation of best fit is defined as :
ý = -0.36x + 94.5.
A.) Predicted number of minutes spent with family (y) for someone who spends 36 minutes playing games (x) will be :
x = 36
From the model :
ý = -0.36(36) + 94.5
y = - 12.96 + 94.5
y = 81.54
Hence.nunber of minutes spent with family = 81.54 minutes.
B.) The correlation Coefficient for the model is - 0.9993, which indicates a very strong negative relationship between both variables. Hence, using this fact, we can conclude that the prediction is reliable. From the data also, spending 36 minutes playing games means such individual will have more time than someone who plays games for 40 minutes, hence, the prediction is also reasonable.
If it has only one solution that means that there is only one value of x that will fulfill this equation
35 - 5x + 6x - 36 = -24 - 17x + 17x + 24
-5x + 6x - 36 = -24 -17x + 17x + 24 - 35
x - 36 = -24 + 24 - 35 (I just canceled out the 17x because it would have justy made the process longer if I moved them over)
x = -24 + 24 - 35 + 36
x = -35 + 36
x = 1
Answer:
Step-by-step explanation:
assuming it is 
Using Quadratic formular -
a - 1
b - 8
c - 4
Answer:
- 15
Step-by-step explanation:
