The solution of the given equation is -6 and 1.
<h3>What is Quadratic Equation?</h3>
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Here, given equation:
(x+2)(x+3) = 12
x(x+3)+2(x+3) = 12
x² + 3x + 2x + 6 = 12
x² + 5x + 6 - 12 = 0
x² + 5x - 6 = 0
x² + 6x - x - 6 = 0
x(x+6) -1(x+6) = 0
(x+6)(x-1) = 0
Now, x + 6 = 0 or x - 1 = 0
x = -6 or x = 1
Thus, the solution of the given equation is -6 and 1.
Learn more about Quadratic Equation from:
brainly.com/question/17177510
#SPJ1
Answer:
15 5/8 ft^3
Step-by-step explanation:
Volume of a cube = l x b x h
Given the Length of sides is
2 1/2
Change 2 1/2 to an improper fraction.
It becomes 5/2
Volume = 5/2 x 5/2 x 5/2
Multiply through
= 125/8
= 15 5/8 ft^3
Answer:
x^2+y^2=9^2
Step-by-step explanation:
The standard equation of a circle is:
Where the center of a circle is (h,k) and r is the radius of the circle. In this case because a circle is equidistant from the center and we have a point where it passes through 9 that means that the radius is 9. However, since the standard equation states that we must write r in the form of this means that . Therefore by plugging in the values we have:
Answer:
-8,-10,-12,-14,-16
Step-by-step explanation:
Just take -8 and add -2 to find each term
Answer:
$138
Step-by-step explanation:
We can first turn the words into a mathematical equation by substituting words with the information we have:
Total earning - ( Price of three books)
$180 - (Price of one book x 3)
$180 - ($14 x 3)
Finally, after we have created the mathematical equation, we solve it!
$180 - ($14 x 3)
$180 - $42
$138