Answer:
A
Step-by-step explanation:
We have the expression:
And we want to find its sign given that a>0 and b<0.
Notice that the expression is already negative since we have -4.
a>0 means that a is positive. Therefore, we can ignore it since it won’t do anything.
b<0 means that b is negative. Therefore, we will have two negatives being multiplied together. Hence, this will make a positive.
Therefore, the sign of our expression will be positive.
We can see this with an example. Let a=1 (1>0) and let b=-1 (-1<0). Then:
So, the sign is positive.
Hence, the answer is A.
Answer:
The coordinates of point M' are 
.
Step-by-step explanation:
According to the statement, we have the following translation rule:
(1)
Where:
- Original point.
- Translated point.
- Translation vector.
If we know that 
, then the coordinates of the point M' are:
The coordinates of point M' are .
Answer:
9sqrt(3) in.
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
If the short leg measures 1, then the hypotenuse measures 2.
The length of the hypotenuse is twice the length of the short leg.
The length of the long leg is sqrt(3) times the length of the short leg.
If the hypotenuse measures 18 in., then the short leg measures 9 in.
Then the long leg measures 9sqrt(3) in.
Step-by-step explanation:
taking that blank as x
5/2 -x = 1/3
the x will go to the right hand side of the equation which then would make it positive ( making x the subject) and 1/3 will come to the left hand side of the equation becoming -1/3
so the equation will become 5/2-1/3=x
solving the fraction then gives 13/6 or 2.17 as the value of x
Answer:
We have 20 category Questions split into 5
Where we would assume that the 3rd question is simply 1/4 + 5/20 chance.
This is not a determiner as Robin is asked more questions.
So it is simply 1/4 and kept to factors that Robin will answer one of the 4 choices upon the 3rd question as 1/4 regardless of other questions being asked. Where Robins first answer would be the third question we subtract 4/5 = 16/20 - 5/20= 11/40. Which can only be rounded down to 2 decimal places 0.275
Step-by-step explanation:
