Answer:
21 man
Step-by-step explanation:
u have to do the work and get the answer
Comment
The point is how to remove the brackets when a minus sign is on the left hand side. A second problem is how to get all the terms on one side over to the other.
Step One
Remove the brackets on the left side. This is an absolutely necessary step in the rest of your mathematical studies. What was done in this step affects all three terms on the inside of the brackets. Minus signs are real bad things to misuse. Study carefully how to change the signs when multiplying by a minus.
Rule a minus sign outside the brackets, when multiplied by anything inside the brackets, change the <span>sign to the opposite of what it was</span>.
-20 + 4x + 5x^2 = 20 - 7x^2
Comment
Before doing the last step, look at the answers. Two of them are 40. That is the answer for 20 and -20 when transferred. It's 40 which is a plus. So you should be transferring from left to right.
Step Two
Transfer from left to right.
-20 + 4x + 5x^2 = 20 - 7x^2 Add 20 to both sides.
4x + 5x^2 = 20 + 20 - 7x^2 Subtract 4x from both sides.
5x^2 = 40 - 7x^2 - 4x Subtract 5x^2 from both sides
0 = 40 - 7x^2 - 5x^2 - 4x
0 = 40 - 12x^2 - 4x Now you have to put them in the right order.
0 = 40 - 4x - 12x^2 <<<<< Answer
Answer:
x^2-2x+3
Step-by-step explanation:
Answer: 402.124 inches²
Step-by-step explanation:
What is a cylinder?
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.
The surface area of a cylinder is the sum of the area of the base and the lateral area of the curved cylinder.
Given that the diameter of the cylinder is 8 inches, while the height of the cylinder is 12 inches. Since the radius is half the length of the diameter. Therefore, the radius of the given cylinder is 4 inches.
Now, the surface area of the cylinder is,
Surface area of the cylinder = Area of the bases + Area of the curved surface
= 2(πr²) + 2πrh
= 2(π × 4²) + (2 × π × 4 × 12)
= 2(50.265) + 301.5928
= 100.5309 + 301.5928
= 402.124 inches²
Hence, the surface area of the cylinder is 402.124 inches².
Learn more about Cylinder here:
brainly.com/question/12248187
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Answer:
Step-by-step explanation:
Give the equation 5x² + 27x = 14 − 13x, we are to write the steps needed to solve for x using the completing the square method.
Step 1: Rewrite the equation in a quadratic form by first adding 13x to both sides of the equation.
5x² + 27x +13x= 14 − 13x+13x
5x² + 40x = 14
Step 2: factor out the common constant in the left hand side of the equation.
5(x²+8x) = 14
Step3: The next step to take is to divide through by the the value of 5 to have;
5(x²+8x)/5 = 14/5
x²+8x = 14/5
Step 4: complete the square of the equation at the left hand side by adding the square of half of the coefficient of x to both sides i.e {1/2(8)}² which is 4²
x²+8x +4² = 14/5+4²
x²+8x +16 = 14/5+16
(x+4)² = 94/5
Step 5: Taking the square root of both sides
√(x+4)² = ±√94/5
x+4 = ±√94/5
Step 6: subtract 4 from both sides
x+4-4 = ±√94/5 - 4
x = ±√94/5 - 4
Hence the solution to the equation using completing the square method is x = -4±√94/5
