Answer:
The resultant expression is 
.
Step-by-step explanation:
The distributive property of multiplication is:
The two polynomials provided are:
Determine the final expression by multiplying the two polynomials as follows:
![(2x+3)\times (x^{2}+x-2)=[2x\times(x^{2}+x-2)]+[3\times(x^{2}+x-2)]](https://tex.z-dn.net/?f=%282x%2B3%29%5Ctimes%20%28x%5E%7B2%7D%2Bx-2%29%3D%5B2x%5Ctimes%28x%5E%7B2%7D%2Bx-2%29%5D%2B%5B3%5Ctimes%28x%5E%7B2%7D%2Bx-2%29%5D)
![=[(2x\times x^{2})+(2x\times x)-(2x\times 2)]+[(3\times x^{2})+(3\times x)-(3\times 2)]\\\\=[2x^{3}+2x^{2}-4x]+[3x^{2}+3x-6]\\\\=2x^{3}+2x^{2}+3x^{2}-4x+3x-6\\\\=2x^{3}+5x^{2}-x-6](https://tex.z-dn.net/?f=%3D%5B%282x%5Ctimes%20x%5E%7B2%7D%29%2B%282x%5Ctimes%20x%29-%282x%5Ctimes%202%29%5D%2B%5B%283%5Ctimes%20x%5E%7B2%7D%29%2B%283%5Ctimes%20x%29-%283%5Ctimes%202%29%5D%5C%5C%5C%5C%3D%5B2x%5E%7B3%7D%2B2x%5E%7B2%7D-4x%5D%2B%5B3x%5E%7B2%7D%2B3x-6%5D%5C%5C%5C%5C%3D2x%5E%7B3%7D%2B2x%5E%7B2%7D%2B3x%5E%7B2%7D-4x%2B3x-6%5C%5C%5C%5C%3D2x%5E%7B3%7D%2B5x%5E%7B2%7D-x-6)
Thus, the resultant expression is .
Answer:
1 cause its going to be one sometimes
Let s represent the short side of the triangle. The long sides of the triangle are each s+1, and the triangle's perimeter is
... s + (s+1) + (s+1) = 3s+2
The length of one side of the square is s-2, and its perimeter is 4 times that, 4(s-2) = 4s-8. The square and triangle have the same perimeter, so
... 3s+2 = 4s-8
... 10 = s . . . . . . . . add 8-3s to both sides
The length of the shorter side of the triange is 10 units.
Answer:
The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs. When the absolute value of the scale factor is less than one, a compression occurs.
Step-by-step explanation:
Answer:
40.2
Step-by-step explanation:
law of cosines
x^2=40^2+28^2-2*28*40*cos(70)
put in calculator and square root the answer
40.222.... is approximately 40.2
