Answer: 20790
Step-by-step explanation:
Given:
The equation is

To find:
The slope intercept form of the given equation.
Solution:
The slope intercept form of a linear equation is

Where, m is slope and b is the y-intercept.
We have,

We need to isolate y. Add 10x on both sides.


Divide both sides by 20.




Therefore, the slope intercept form of the given equation is
.
4. The point Z is the orthocenter of the triangle.
5. The length of GZ is of 9 units.
6. The length of OT is of 9.6 units.
<h3>What is the orthocenter of a triangle?</h3>
The orthocenter of a triangle is the point of intersection of the three altitude lines of the triangle.
Hence, from the triangle given in the end of the answer, point Z is the orthocenter of the triangle.
For the midpoints connected through the orthocenter, the orthocenter is the midpoint of these segments, hence:
- The length of segment GZ is obtained as follows: GZ = 0.5 GU = 9 units. -> As z is the midpoint of the segment.
- The length of segment OT is obtained as follows: OT = 2ZT = 2 x 4.8 = 9.6 units.
<h3>Missing Information</h3>
The complete problem is given by the image at the end of the answer.
More can be learned about the orthocenter of a triangle at brainly.com/question/1597286
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2^n - 3 = 83
<span>2^n = 86 </span>
<span>ln(2^n) = ln(86) </span>
<span>n*ln(2) = ln(86) </span>
<span>n= ln(86)/[ln(2)] (which is the same as "log base 2 of 86") </span>
<span>n= 6.426264755</span>