Answer:
5 seconds
Step-by-step explanation:
In order to find the time when it landed, we will have to find the x-intercepts.
Equation given to us : -16t² + 48t + 160
Let's take the GCD, which is -16.
-16( t² - 3t - 10 )
Factoring what's inside the brackets, we get the x-intercepts.
What multiples to -10 but adds up to -3? The numbers are -5 and 2
-16 ( t - 5 ) ( t - 2 )
X-intercepts are t - 5 and t - 2
Which is 5 and 2 seconds. But one of this is an extraneous solution and that is 2.
If we substitute the value of 2 in the equation, we will not get 0.
During the x-intercept, the x has a value and y is 0. If we substitute 5 ans x. we will get y as 0.
Hence, the answer is 5 seconds.
Given the system of equations below:
The first equation is y-isolated so we can substitute in the second equation.
Use the distribution property to expand in and simplify.
The another method is to divide the second equation by 2.
Arrange in the form of y = mx+b.
When we finally arrange, compare the equation to the first equation. Both equations are the same which mean that both graphs are also same and intersect each others infinitely.
For more information, when the both sides are equal for equation - the answer would be infinitely many. If both sides aren't equal (0 = 4 for example) - the answer would be none. If the equation can be solved for a variable then it'd be one solution.
Answer
Hope this helps. Let me know if you have any doubts!
Answer:
A. 10/11
Step-by-step explanation:
Answer:
5 feet / 6 feet = 0.8333
Step-by-step explanation:
Answer: B.20
Step 1: Understand the graph
In the graph provided, each line goes up by 10 on the y-axis, with the graph marking each 50. On the x-axis, every 5 lines is equal to 1, as indicated on the graph.
Step 2: Find the unit rate
To find the unit rate, we need to find where the line hits 1 on the x-axis. To do so, go to one on the x-axis, and go up until you find where the line hits. Then we see the value on the y-axis to know the unit rate. In this case, it is on the second line above. Since we established in step 1 that each line is equal to 10 on the y-axis, we know that the two lines will be equal to 20.
This is your answer! The unit rate is 20. Hope this helps! Comment below for more questions.
