Answer:
{-15, -5}
Step-by-step explanation:
The constant on the left needs to be the square of half the x-coefficient:
(20/2)^2 = 100
To get it to that value, we can add 18 to both sides of the equation:
x^2 +20x +100 = 25 . . . add 18 to both sides of the equation
(x +10)^2 = 25 . . . . . . . . write the left side as a square
x +10 = ±√25 = ±5 . . . . . take the square root
x = -10 ±5 = {-15, -5}
The solutions are x = -15 and x = -5.
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The attached graph shows the solutions to ...
x^2 +20x +82 -7 = 0 . . . . . the result of subtracting 7 from both sides
Answer:
37in.^2
Step-by-step explanation:
So if the triangles at the top have a hypotenuse of 5, and a length of 4, then doing reverse Pythagorean theorem, you find out that the width is 3.. so reverse of that for this problem would be and if we plug it in, we get 25 -16=9 and the square root of 9 is 3. so if we find the are of the triangle, 3*4*1/2=6 and there are 2 triangles so 12 for both triangles. The square is 5*4=20. and the smaller triangles on the side are 1*5*1/2=2.5, and there are 2 traingles so 2.5*2= 5. So 5+20+12=37. You can do this on most calculators, and please put my answer as the brainliest.✌
Answer:
x = e^12/100
Step-by-step explanation:
Solve for x over the real numbers:
10 ln(100 x) - 3 = 117
Add 3 to both sides:
10 ln(100 x) = 120
Divide both sides by 10:
ln(100 x) = 12
Cancel logarithms by taking exp of both sides:
100 x = e^12
Divide both sides by 100:
Answer: x = e^12/100
Yes x = 1 is a function.
Hope this helps :(
So firstly, we are going to complete the square for each polynomial. To do this, we need to split the middle term of each polynomial into two terms that add up to the middle term and multiply to the product of the first and third term.
Starting with 3x^2+26x+16, the two terms that fit are 24x and 2x since they add up to 26x and multiply to 48x^2. Now replace 26x with 24x + 2x:
Next, you are going to factor 3x^2 + 24x and 2x + 16 separately. Make sure they have the same quantity in the parentheses:
Next, thanks to distributive property, we can rewrite this as (3x + 2)(x + 8).
The process is going to be the same with the other 3 polynomials, so I'll brush through them real quickly:
So right now, just for reminder our fraction looks like this:
Next, cancel out (x+5), (x-3), and (3x+2) and your answer will be: