The distance between any point (x0,y0) on the parabola and the focus (m,n) is the same as the distance between (x0,y0) and the directrix line ax+by+c. The distance between (x0,y0) and focus (a,b) is \sqrt((x-m)^2+(y-n)^2). The distance between (x0,y0) and ax+by+c is |ax0+by0+c|/\sqrt(m^2+n^2). Equalize these two expressions.
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Answer:
y = 5
Step-by-step explanation:
There are a number of ways to get there, but the short of it is that a horizontal line has the equation ...
y = constant
The constant value must be chosen to match the y-value of points on the line. Here, that is 5. The equation of the line is ...
y = 5
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<em>Another way</em>
You can write the equation in slope-intercept form if you know the slope and the y-intercept. The line crosses the y-axis at y = 5, so that is the value of the y-intercept.
The "rise" between the two points is 5 -5 = 0. The "run" between the two points is 5-0 = 5, so the slope is ...
m = rise/run = 0/5 = 0
Then the slope-intercept equation is ...
y = mx + b . . . . . where m is the slope and b is the y-intercept
y = 0x +5
Simplifying, we get ...
y = 5
They are the same measurements, because:
from 10x + 5, first do vertical angle.
then, alternate interior angle,
then vertical angle again,
and another alternate interior angle.
For each vertical and alternate interior angles, the measurements stay the same.
Set them equal to each other, isolate and solve for x.
10x + 5 = 11x - 1
First, isolate the x. Subtract 10x from both sides, and add 1 to both sides
10x (-10x) + 5 (+1) = 11x (-10x) -1 (+1)
Simplify
5 + 1 = 11x - 10x
6 = x
x = 6
6 is your answer for x.
hope this helps
Answer:could you maybe simplify the question
Step-by-step explanation:
Answer:
The error Tara made is she rewrote incorrectly 3 3/8 as 17/8 and 4 1/9 as 13/9,
the corrected number can be rewrote as 3 3/8 as 27/8 and 4 1/9 as 37/9.
Step-by-step explanation:
To find the Product of:

The Number can be rewrote as,

Tara made error here she rewrote the number incorrectly 3 3/8 as 17/8 amd 4 1/9 as 13/9.
Now multiplying the fraction we get

Because she rewrote incorrectly which led her answer to multiplication of fraction, the product too was incorrect which she wrote as 221/72.