Answer:
x = √(10) - 2, -√(10) - 2
Step-by-step explanation:
x² + 4x + 4 = 10
factor:
(x + 2)² = 10
take square root of both sides:
x + 2 = ±√(10)
split into 2 equations:
x + 2 = √(10) x + 2 = -√(10)
solve both equations and collect solutions:
x = √(10) - 2, -√(10) - 2
1) is because 13+3 =16 and 2*13=26 add that together u get 42
Answer: the length is 6 feet. The width is 2 feet
Step-by-step explanation:
The garden pool is rectangular in shape.
Let L represent the length of the rectangular garden.
Let W represent the width of the rectangular garden.
The area of a rectangle is expressed as L× W. The area of the rectangular garden pond is 12ft^2. It means that
L× W = 12 - - - - - - - - - - 1
The length of the pool needs to be 2ft more than twice that width. This means that
L = 2W + 2 - - - - - - - - - - - 2
Substituting equation 2 into equation 1, it becomes
W(2W + 2) = 12
2W^2 + 2W = 12
2W^2 + 2W - 12 = 0
W^2 + W - 6 = 0
W^2 + 3W - 2W - 6 = 0
W(W + 3) - 2(W + 3) = 0
W - 2 = 0 or W + 3 = 0
W = 2 or W = - 3
Since the Width cannot be negative, then the width is 2 feet
Substituting W = 2 into equation 2. It becomes
L = 2×2 + 2 = 6 feet
<span>Write
an algebraic expression for three fourths the square of b
=> Algebraic expression is the expression that shows both integers,
variables, symbols and operations like addition, subtraction, division, and
multiplication.
=> three fourth is a fraction which is equals to 3/4
=> square of b is an exponent which is equals to b<span>2
</span>=> thus, the algebraic expression of three fourths the square of b is
equals to:
=> ¾ x b2 or 3b2 / 4</span>
Answer:
x intercepts at (-3,0), and (1,0)
there is a minimum at (-1,-4)
Step-by-step explanation:
Please see attached image for the requested graph of the function , and observe that the crossings of the x-axis are at the points (-3,0), and (1,0) , marked in red in the image.
We can also see that there is no maximum, but a minimum value, and located at the point (-1,-4) [marked in green in the image]