The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
<h3>What is a quadratic equation?</h3>
Any equation of the form 
where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
We have an equation:
x(x + 4) = 6
By distributive property:
x² + 4x = 6
x² + 4x - 6 = 0
a = 1, b = 4, c = -6
Plugging all the values in the formula:
After calculating:
Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
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Answer:
any coordinate outside the parabola is a reasonable answer.
Step-by-step explanation:
test the solution (0, 0) and if if that number is greater than 0 then the rest of the points outside on the inside are.
x = 0
y = 0
(0)^2 - 2(0) - 3 = -3
-3 is less than 0 so (0, 0) is not a possibility so any coordinate outside the parabola is a reasonable answer.
In order to find which one is or isn't, you need to solve for the value of 'x'.
2x + 15 = 35
2x = 20
x = 10
Substitute x =10, into equation. If each side are not the same (i.e. 0=2), then that's the equation that is not equivalent,
Answer is B
Double check this. Chur! :)
Hope this makes sense.
9514 1404 393
Answer:
10) C 4/9
11) B 24
Step-by-step explanation:
10) The area ratio is the square of the ratio of side lengths. The ratio of side lengths is ...
RS/LM = 6/9 = 2/3
Then the area ratio is ...
(2/3)² = 4/9
__
11) Using the result of question 10, the area of ∆RST is ...
(4/9)(54 in²) = 24 in²
There are 4 As and 3 Bs, so the ratio of Bs to the total number of As and Bs is ...
... (count of Bs) : (count of As + count of Bs)
... = 3 : (4 + 3)
... = 3 : 7
Expressed as a fraction, this is
... 3/7
