Find the area of the following rhombus: 6 cm 10 cm 8 cm
1 answer:
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The equation of the directrix is x = -3
<h3>What is Parabola?</h3>A mirror-symmetrical, roughly U-shaped plane curve known as a parabola. It corresponds to a number of mathematical models that appear to be superficially dissimilar but yet all define the exact same curves. A point and a line are one way to describe a parabola.
<h3>According to the given information: </h3>Given the general equation of a parabola expressed as
(y-y0)² = 4a(x-x0) ... 1
Equation of the directrix will be expressed as x = x0 - a
From the equation given;
y² = 12x ... 2
Comparing 1 and 2;
x - x0 = x
-x0 = x - x
-x0 = 0
x0 = 0
Similarly;
y-y0 = y
-y0 = y - y
-y0 = 0
y0 = 0
Also;
4a = 12
a = 12/4
a = 3
Substituting x0 =0, y0 = 0 and a = 3 into the equation of the directrix above, we will have;
x = x0 - a
x = 0 - 3
x = -3
Hence,
the equation of the directrix is x = -3
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Answer:
x = 7
y = 4
Step-by-step explanation:
The sum of two numbers equaling 11 can be written as
x + y = 3
The difference of the two numbers equaling 3 can be written as
x - y = 3
Where x and y represent the unknown numbers
So now we have a system of equations
We can solve for y in the 1st equation by subtracting x on both sides
x + y = 11
y = 11 - x
We can plug the expression for y into the 2nd equation and solve for x
x - (11 - x) = 3
x - 11 + x = 3
2x - 11 = 3
2x = 14
x = 7
Now we can plug 7 for x into any of the equations and solve for y
1st equation:
7 + y = 11
y = 4
2nd equation:
7 - y = 3
-y = -4
y = 4
So, x = 7 and y = 4
Hope this helped!
