Answer:
Therefore the Equation and missing value is
.............Equation for the Diagram

Step-by-step explanation:
Given:
Let Label the Diagram such that



To Find:
Equation =?
x = ?
Solution:
Here Total Length is given in Two Parts



For a Line A-B-C
..............Line Addition Property
Substituting the values we get
...Equation for the Diagram

Therefore the Equation and missing value is
...Equation for the Diagram

For a line in the form:

In this case, for the line 2x + 10y = 20 with a=2 and b=10 the slope is:

Now, two lines are perpendiculars if the slopes satisfy the following equation:

So, for the line we want the slope is:

Finally, the line pass througth the point (2, 3) with slope m=5, so the equation is:

The equation of the line is y = 5x - 7
-11
Hope this answer helped :)
Answer:
ez
Step-by-step explanation:
The answer is: x = 7 - √53 or x = 7 + √53
The general quadratic equation is: ax² + bx + c =
0.
But, by completing the square we turn it into: a(x + d)² + e = 0, where:<span>
d = b/2a
e = c - b²/4a
Our quadratic equation is x² - 14x -4 = 0, which is
after rearrangement:
So, a = 1, b = -14, c = -4
Let's first calculate d and e:
d = b/2a = -14/2*1 = -14/2 = -7
e = c - b²/4a = -4 - (-14)</span>²/4*1 = -4 - 196/4 = -4 - 49 = -53<span>
By completing the square we have:
a(x + d)² + e = 0
1(x + (-7))</span>² + (-53) = 0
(x - 7)² - 53 = 0
(x - 7)² = 53
x - 7 = +/-√53
x = 7 +/- √53
Therefore, the solutions are:
x = 7 - √53
or
x = 7 + √53