First, let's look at the formulas for the area of square and area of the rectangle.
And what this exercise states is that the areas are the same. So:
Now put in the data.
Solve for 
:
The side of the square garden plot is 4 meters.
Hope this helps.
r3t40
Answer:
If the roots of any equation are equal then it means that their Discriminant = 0
So, b²-4ac = 0
We have given the equation 2x² + kx + 2, where,
a = 2
b = k (we have to find the value)
c = 2
Then, b²-4ac=0
b² - 4(2)(2) = 0
b² - 16 = 0
b² = 16
√16 = 4
Hence the vue of k is 4.
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Step-by-step explanation:
hope it helps you ( ◠‿◠ )
Step-by-step explanation:
we have y intercept -10
and slope 3
we know the equation of line in slope -intercept form
y=mx+b
where m is slope and b is y-intercept
so the final equation would be
y=3x-10
Answer: {(x + 2), (x - 1), (x - 3)}
Step-by-step explanation:
Presented symbolically, we have:
x^3 - 2x^2 - 5x + 6
Synthetic division is very useful for determining roots of polynomials. Once we have roots, we can easily write the corresponding factors.
Write out possible factors of 6: {±1, ±2, ±3, ±6}
Let's determine whether or not -2 is a root. Set up synthetic division as follows:
-2 / 1 -2 -5 6
-2 8 -6
-----------------------
1 -4 3 0
since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial. The coefficients of the product of the remaining two factors are {1, -4, 3}. This trinomial factors easily into {(x -1), (x - 3)}.
Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}
Since some number added to -11 is 37, we must do 37- (-11), which is 48. Then we check our work and find that 48+-11 is indeed 37. Now we divide 48 by -12, which is -4, multiply by -8 and get a final answer of 32.
