Answer:
x = 14 2/3
Step-by-step explanation:
it is a parallelogram.
that means AB is parallel to CD, and AD to BC.
it also means that the total angles at B and D must be equal. and the total angles at A and C.
and the sum of all angles in a parallelogram is 360 degrees.
so, we have
360 = 2×(4x + 4x + 8) + 2×(x + 10 + 2x + 8) =
= 8x + 7x + 16 + 2x + 20 + 4x + 16 =
= 21x + 52
308 = 21x
x = 14.666666666.... = 14 2/3
The value of constant a is -5
Further explanation:
We will use the comparison of co-efficient method for finding the value of a
So,
Given
As it is given that
(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28
In this case, co-efficient of variables will be equal, so we can compare the coefficients of x^3, x^2 or x
Comparing coefficient of x^3
So the value of constant a is -5
Keywords: Polynomials, factorization
Learn more about factorization at:
#LearnwithBrainly
Using the process of elimination, we will be able to determine the answer. So, 5x+3y=-10 multiply it by *3 to change the equation into 15x+9y=-30. Then to change 3x+5y=-6 multiply it by *5, to change it into 15x+25y=-30. So now with these two equations 15x+9y=-30 and 15x+25y=-30, use subtraction to get rid of the variable x.
Thus,
15x+9y=-30
-
15x+25y=-30
which will leave you with
-16y=0
thus, y=0
Then, plug y back into the original equation to find x
5x+3(0)=-10
5x=-10
x=-2
Thus the point of intersection is (-2,0)
-2 being the x, and y being 0.
Answer:
13
Step-by-step explanation:
13 come after 12 in the number sequence
I'm guessing the repeating part is 89 at the end, so that
Then
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An arguably quicker way without using geometric series: