Answer:
Triangle DEF is a right, scalene triangle. It is not isosceles, obtuse, acute, or equilateral
Step-by-step explanation:
All we know about m and n are that they are not equal to each other and they are positive. This was given in the problem. See image. Once it is graphed you can see on the graph the lengths of DE and EF. Use Pythagorean theorem to calculate DF. see image.
DE is horizontal and EF is vertical, so you can see their slopes or calculate using a formula. Calculate the slope of DF. Slope is y-y on top of a fraction and x-x on the bottom of the fraction.
Lastly, use midpoint formula to find the midpoints. Average the x's and average the y's to find the x- and y-coordinates of the midpoints. See image.
Finally, DEF is a right triangle. The graph as well as the slopes show us that DE and EF form a right angle. So DEF must be a right triangle (and not obtuse nor acute) We were told that m doesNOT equal n, so the triangle cannot have two equal sides, so it cannot be isosceles (2 equal sides) nor equilateral (3 equal sides) It has 3 different lengths of sides; that is called scalene.
Answer:
It will take the police car 3.5 hours to travel a distance of 175 miles traveling at a rate of 50 miles/hour.
Step-by-step explanation:
If a car is traveling at a constant speed of 50 miles/hour and we wish to know how long it will take it to travel a distance of 175 miles, we will use this formula
d = r*t
Where d is the distance traveled in miles
r is the rate of speed in miles/ hour, and
t is the time in hours
d in this case is 175 miles and r is 50 miles/hour, plugging this in, we have
175 miles = (50 miles/hour) * t Divide both sides by 50 miles/hour
Our miles unit will cancel out, leaving us with
3.5 hours = t
Answer:
i cant really see it but i think the answer is 5
Step-by-step explanation:
when you look at the graph go to where x is 2 then keep going up and whatever point it hits thats the answer
It would be: 63 / 28 = 9 / 4
So, your answer is 9/4
Hope it helped.
Answer:
P = 20000×1.625^(n/4)
Step-by-step explanation:
An exponential equation can be written using the given data:
value = (initial value)×(growth factor in period)^(n/(period))
Here, the growth is by a factor of 32500/20000 = 1.625, and the period is 4 years. Then your exponential equation is ...
P = 20000×1.625^(n/4)
