Answer: 8 and 9 or -9 and -8
Step-by-step explanation:
Let 
be the first of the two integers. Then, since the numbers are consecutive, 
is the other integer. We then know that the sum of the squares of 
and is equal to 145. So, now we have the equation
which can be expanded and simplified to
which then gives us the quadratic equation
This can then be factored into
Which can be simplified further into
So either 
or 
. This gives us two solutions: 8 and 9 or -9 and -8.
Hope this helps! CHEERS!
Answer:
18. <u>0.25</u>
19. <u>0.33</u>
Step-by-step explanation:
<u>Problem 18</u>
- Number of oranges = 2
- Number of fruits = 2 + 6 = 8
- P (orange) = 2/8 = 1/4
- P (orange) = <u>0.25</u>
<u />
<u>Problem 19</u>
- Number of 1 or 6 faces = 2
- Total faces = 6
- P (1 or 6) = 2/6 = 1/3
- P (1 or 6) = <u>0.33</u> (2 DP)
89.22
Inverse tangent of 73 is 89.22
There are 8 markers in a set
nate has 9 markers
clara has 7 markers
For nate to have a set, you need:
9 markers - 1 marker = 8 markers
For clara to have a set, you need:
7 markers + 1 marker = 8 markers
Therefore, nate should give 1 marker to clara so that both have a complete set.
