Answer:
360 degrees divided by that order
It's not obvious here, but you're being asked to find a linear equation for the velocity of the car, given two points on the line that represents this velocity.
Find the slope of the line segment that connects the points (3 hr, 51 km/hr) and (5 hr, 59 km/hr). Graph this line. Where does this line intersect the y-axis? Find the y-value; it's your "y-intercept," b.
Now write the equation: velocity = (slope of line)*t + b
The units of measurement of "slope of line" must be "km per hour squared," and those of the "y-intercept" must be "km per hour."
Part B: Start with the y-intercept (calculated above). Plot it on the vertical axis of your graph. Now label the horizontal axis in hours: {0, 1, 2, 3, 4, 5, 6}. Draw a vertical line through t=6 hours. It will intercept both the horiz. axis and the sloping line representing the velocity as a function of time. Show only the part of the graph that extends from t=0 hours to t=6 hours.
Answer:
The end behavior of a polynomial is determined by its grade, if it's an odd polynomial or an even polynomial. Also, another important characterstic is the leading coeffcient, because if it's positive, then the function will open to positive territory, this apply the most to even polynomials.
The given expression is
As you can notice, the polynomial function has a grade of 4, that means it's an even function, with negative leading coefficient.
Therefore, the given function open towards negative side, that means it's end behavior is downside.
The image attached shows the graph of the function, there you can observe the end behavior we determined.
Hey there!
First, you want to add together the numbers in the extended ratio. 6 + 7 + 8 = 21. This helps because you're looking to find how much greater the triangle is than the ratio.
So now, since you have the total "perimeter" of a triangle with sides of that ratio, just divide 63 by 21 to find how many times that ratio fits into this triangle.
63 / 21 = 3
So you now know that if you multiply all the parts of that ratio by 3, it'll get the side lengths of the triangle with a perimeter of 63 feet.
6 * 3 : 7 * 3 : 8 * 3
= 18:21:24
So the side lengths would be 18 feet, 21 feet, and 24 feet.
To check, I would add all the sides together to see if it equals 63 feet:
18 + 21 + 24 = 63
So your answer is 63.
