Answer:
4a^2-6b^2+12
Step-by-step explanation:
(a^2 - 2b^2 + 3) - (4b^2 - 5) + (3a^2 + 4)
distribute the negative sign to each term in the 2nd expression
a^2-2b^2+3-4b^2+5+3a^2+4
combine like terms
4a^2-6b^2+12
So first what you are going to do is divide synthetically your root aka factor into your given equation. Then you are going to kind of guess ands check to find the other factor by synthetically dividing what you have left which should be
x^2 +2x +1 by -5, 5 (to make sure there is no multiplicity), 1, and -1 until you get zero in your remainder spot. The number you used to divide will be your other root.
Set equal to eachother
(2x+1) = 79
Subtract 1 from both sides
2x=78
Divide 2 from both sides
2x/2=78/2
X= 39
Answer:
the third side is 40 m long
Step-by-step explanation:
The perimeter of the triangle is the sum of its three sides, and they give you what that value in meters is (120 m)
Your are given the length of two of them: 30 m and 50 m, and need to find the third one (let's call it "x" for this unknown side)
Now set the following equation:
Perimeter = side 1 + side 2 + side 3 --> replace these with the info you know
120 m = 30 m + 50 m + x --> add 30 m and 50 m obtaining 80 m
120 m = 80 m + x --> now solve for x (isolate the x on one side) by subtracting 80 m from both sides
120 m - 80 m = x --> perform the subtraction 120 m - 80 m = 40 m
40 m = x
Which tells us that the third unknown side has a length of 40 m
Answer:
Given - Diameter of circle = 14 in
To find - Area of circle
Solution -
Diameter= 2 × Radius
14 = 2 × R
14/2 = R
7 = R
Area of circle= π r^²
22/7 × 7 × 7
22 × 7
154
