A construction worker tosses a brick from a tall building. The brick's height (in meters above the ground) t tt seconds after be
2 answers:
Answer:
Step-by-step explanation:
You have to put this into vertex form in order to find the time it was at its highest. To do this you have to complete the square. First rule is to set the equation equal to 0, then move the constant over to the other side of the equals sign. Let's do that:
The next rule is that the leading coefficient HAS to be a positive 1, and right now ours is a -5. So we have to factor out the -5, leaving us:
The next step is to take half the linear term, square it, and add it to both sides. Our linear term is a -4; half of that is -2, and squaring -2 gives you a 4. So adding in the 4 to the parenthesis on the left is a given; however, don't forget about the -5 hanging out in front as a multiplier. We didn't just add in a 4, we added in -5 times 4 which is -20. Putting all that together:
The reason we do this is apparent on the left side. We create a perfect square binomial of the form
Notice that I also added the 2 negatives on the right at the same time. Now the last step is to move the -135 back over with the other guys and set it equal to y again:
Now it's in the form
where (h, k) are the vertex, or the highest point of the parabola: (2, 135). This means that at 2 seconds the object was at its highest point in its path of 135 m.
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Step-by-step explanation:
Please find the attachment.
We have been given a table that shows the record low temperatures for several states. We are asked to graph the temperatures on a number line.
First of all we will draw a number line going to infinity into both directions.
To graph the given temperatures on number line let us arrange temperatures in less negative order.
-34, -32, -30, -29, -27.
Since we know that numbers with large negative values lie on the left at number line. Let us graph our large negative temperature on the left at our number line.
We can see that -34 is the most negative temperature, therefore, it will be on the left most side of our number line.
-27 is greatest of our given negative temperatures. -27 is less negative temperature than our other given low temperatures, therefore, it will lie on the right most side of our number line.
Other temperatures will lie between these two values according to their temperatures.
-32 is second large negative temperature after -34, therefore, it will lie on the right side of -34.
-30 will lie on the right side of -32 and -29 will lie on the right of -32.
