Answer:
Step-by-step explanation:
Remark
You are going to use the Pythagorean Theorem. The trick is to find the length of the leg making up the base of the triangle.
That base is equal to the difference between the two bases.
Solution
The base of the triangle = 2x + 1 - (x + 3) Remove the brackets.
base = 2x + 1 - x - 3
base = x - 2
Now the height of the trapezoid is also the second leg of the triangle. Apply the Pythagorean Theorem.
c^2 = a^2 + b^2
a = x - 2
b = x + 4
c = 2x
4x^2 = (x - 2)^2 + (x + 4)^2 Expand the brackets
4x^2 = x^2 - 4x + 4 + x^2 + 8x + 16 Collect like terms
4x^2 = 2x^2 + 4x + 20 Subtract the right side from the left.
4x^2 - 2x^2 - 4x - 20 = 0
2x^2 - 4x - 20 = 0 Divide by 2
2x^2/2 - 4x/2 - 20/2 = 0
x^2 - 2x - 10 = 0
x = - b +/- sqrt(b^2 - 4*a*c)/ 2a
a = 1
b = - 2
c = - 10
x = (- -2 + / - sqrt((-2)^2 - 4*(1)*(-10) ) / 2
x = (2 + / - sqrt(4 + 40 ))/2 Only the plus root has any meaning.
x = ( 2 + sqrt(44 ) )/2
x = ( 2 + 2*sqrt(11) ) / 2
x = 1 + sqrt(11)
sqrt(11) = 3.3166
x = 1 + 3.3166
x = 4.3166
<span>The mean, or average, of a data set
is calculated by summing all of the numbers in the data set and
dividing that sum by the number of data points in the set. If the mean
of a data set is known, then that mean contains information on the
missing number. Multiplying the mean by the number of data points gives
the "true" sum of all the data points, including the missing number.
The sum of the known data points is less than this true sum, because
the sum of the known points does not include the value of the missing
number. The difference between the sum of the known data points and the
true sum is exactly the value of the missing number. However, if
multiple data points are missing, this method does not work.</span>
(this is for fractions!!!!!!!!!!!!) 28/5 or 5 3/5
i think u just make it into 5.6/1 multiply by 10 which gets 56/10 and wala
but it's not simplified. 56 and 10 is divisible by 2 so u get 28/5 which is actually 5 3/5 (which is 5.6!!)
Answer:2,1
Step-by-step explanation:
Answer:
Yeah! It could definitely boost it a few pts!
Step-by-step explanation:
