Step-by-step explanation:
Answer:
a. 10√2
Step-by-step explanation:
hey, just use Pythagoras theorem
h²=p²+b²=10²+10²=100+100=200
h²=200, h= √200 =√(100×2)=√100×√2=10√2
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If you have a number x then the consecutive number is x+1
the multiplication of two consecutive numbers can then be written as x*(x+1)=...
if you find an integer solution for this equation you can write the number as two consecutive integers multiplied with each other, if not you found the exception you are looking for
E)
x(x+1)=9900
x²+x=9900
-> complete square
x²+x+(1/2)²=9900+(1/2)²
(x+(1/2))²=9900+(1/4)
x+(1/2)=sqrt(9900+(1/4))
x=sqrt(9900+(1/4))-(1/2)
x=99
->9900=99*(99+1)=99*100
if we replace 9900 in the last lines with the other numbers we can check them quickly too:
F)
x=sqrt(15750+(1/4))-(1/2)
x=125
->15750=125*(125+1)=125*126
G)
x=sqrt(20448+(1/4))-(1/2)
x=142.497...
->not an integer
->can not be written as two consecutive numbers multiplied
H)
x=sqrt(38612+(1/4))-(1/2)
x=196
->38612=196*(196+1)=196*197
so G is the only number which can not be written as two consecutive integers
Answer:
-1 to 1
Step-by-step explanation:
The correlation Coefficient gives the degree of relationship between two variables while also giving an hint about the type of relationship between them, (positive or negative). Correlation Coefficient could take any value bwuqwen - 1 and 1. With values closer to - 1 or 1 indicating a strong relationship between the variables, Coefficient of 0 means no relationship and a negative value means negative relationship while a positive value plies a positive relationship.
