It is normally smart to write out a diagram of some sort to help you visualize the situation. I made one for this situation, although it might now suit you as well as it would me.
The idea behind this problem is to make you understand rates. Rates being the same thing as a slope. If you have learned about that already then that will help a lot, but if you haven't then that's fine.
So we have 4.8m and we traveled at a speed of 3 meters per 1 minute. A rate you are probably pretty familiar with is mph. Which is Miles per Hour. Or if you don't live in the U.S. Kmph. Which is Kilometers per Hour.
What you do to solve these type of problems is you take the given value and you use the rate to get the value you want.
The easiest way to do this is to make sure the signs (Meters) "cancel" out.
4.8m * (1min / 3m)
To cancel something out you need to have it over itself. Here are a few examples:
3/3 = 1
4/4 = 1
100,000/100,000 = 1
598/598 = 1
In the case of units, such as meters. They go *poof* from the problem.
So we have this problem:
(4.8m*1 minute) / 3m = ? minutes
4.8/3 = 1.6
If you want the answer in fractional form... here is how you do it: (I won't explain it because you most likely won't need to do this, but if you want to know how to do it then just ask)
4(8/10)
4(4/5)
(24/5)/3
(24/5) * (1/3)
24/15
8/5 is our final fractional answer!
Answer:
(8, -2)
Step-by-step explanation:
It is reflected over the X axis
Because 8 is an x coordinate, it will not be changed. And because 2 is not an X coordinate it will be reversed, or turned to negative
Answer:
Does not factor; domain = -∞<x<∞, range = f(x) ≤ 2.
Step-by-step explanation:
Assuming your end goal is to factor the polynomial

If we use the guess and check method we can see that there is no way to factor this polynomial.
However, if you are looking for a domain and range we can graph it on a graphing calculator. Just by looking at the graph, we can see that the domain is all real numbers, or -∞<x<∞, and the range is f(x) ≤ 2.
I hope this helped!
It's not a perfect square trinomial because it doesn't factor into one.
The square root of c-term 64 = 8
then the b-term coefficient would need to be -16 not -8.
x^2 - 16x + 64 = (x - 8)^2
you can also see this by calculating vertex. perfect squares have one solution which means the vertex of a perfect square trinomial is on the x-axis.
Answer:
<A = 75degrees
Step-by-step explanation:
From the triangle given;
arcDA + arc AD + arcBD = 360 degrees
131 + 79 + arcBD = 360
210 + arcBD = 360
arcBD = 360 -210
arcBD = 150 degrees
Since the angle at the vertex <A is half that at the arc BD, hence;
<A = 1/2 arcBD
<A = 1/2 * 150
<A = 75degrees
Hence the measure of angle A s 75degrees