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
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Answer:
48m
Step-by-step explanation:
Four pieces are easily found,
6m, 6m, 8m, 8m
The diagonal pieces can be found using Pythagoras theorem
+ =
Where c is the length of the diagonal piece and a and b are the two sides of the triangle
+ =
64 + 36 =
100 =
= c
c = 10
Remember there are two identical diagonal pieces
Total length of the wood = 6 + 6 + 8 + 8 + 10 + 10
Total length of the wood = 48m
Answer:
Tom can dig 12 holes in 36 hours.
Step-by-step explanation:
Tom and Di ck dig 3 holes in 6 hours.
Tom works twice as fast as Di ck, so it is as if Tom is the same as 2 people at Di cks's speed and Di ck is as if it is 1 person at Di ck's speed. This means it is as if there are 3 people working at Di ck's speed.
Di ck working alone can dig 1 hole is 6 hours.
Tom can dig 2 holes in 6 hours.
Tom can dig 12 holes in 36 hours.
Answer:
The one that is not equivalent is 7x^3
Step-by-step explanation:
7x^3= 7 * x*x*x
4x+3x = 7x = 7*x
(4+3)x = (7)x = 7*x
7x= 7*x