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All the information you need is in the quadratic trinomial ... Read from right to left:
Find factors of 49 which ADD (+) to give 14.
These will be 7
and
7 because:
7
×
7
=
49
and
7
+
7
=
14
The + sign shows that the signs in the brackets will be the SAME, the minus (-) shows that they will be negative:
(
x
−
7
)
(
x
−
7
)
=
(
x
−
7
)
2
<span>When order does not matter you use what is called n choose k formula
n!/(k!(n-k)!) where n is the number of things to choose from and k is the number of choices made, in this case:
20!/(4!(20-4)!)=4845</span>
9x^2y would combine with 5x^2y as they have the same exponent and variables
What is the third quartile of the following data set<br><br>
24,20,35,39,28,42,25,29,44,21,37
strojnjashka [21]
First, arrange the data:
20, 21, 24, 25, 28, 29, 35, 37, 39, 42, 44
You can use the formula 3/4 multiplied by the number of data + 1 to find the position of the 3rd quartile.
so it's going to be 3/4 x (11+1) = 9th position
the number in 9th position is 39 so that's the 3rd quartile
Step One
Find RST
The two base angles are given as equal and one of the is 28. So is the other one.
SRT = 28
STR = 28
All triangles have interior angles that add up to 180 degrees.
RST + SRT + STR = 180
28 + 28 + RST = 180
56 + RST = 180 Subtract 56 from both sides.
RST = 180 - 56
RST = 124
Step two
Find the exterior angle
The exterior angle = Sum of the two remote interior angles (RST + SRT)
The exterior angle = 28 + 124
The exterior angle = 152
Step Three
Find the value of x
2*x = 152 Divide by 2
x = 152 / 2
x = 76
There is a quicker way of finding the exterior angle. I didn't see it until I had written step two.
The exterior angle + STR = 180 degrees. They are supplementary.
The exterior angle + 28 = 180
The exterior angle = 180 - 28
The exterior angle = 152
