Answer:
The intersection is
.
The Problem:
What is the intersection point of
and
?
Step-by-step explanation:
To find the intersection of
and
, we will need to find when they have a common point; when their
and
are the same.
Let's start with setting the
's equal to find those
's for which the
's are the same.

By power rule:

Since
implies
:

Squaring both sides to get rid of the fraction exponent:

This is a quadratic equation.
Subtract
on both sides:


Comparing this to
we see the following:



Let's plug them into the quadratic formula:




So we have the solutions to the quadratic equation are:
or
.
The second solution definitely gives at least one of the logarithm equation problems.
Example:
has problems when
and so the second solution is a problem.
So the
where the equations intersect is at
.
Let's find the
-coordinate.
You may use either equation.
I choose
.

The intersection is
.
Answer:
See Below:
Step-by-step explanation:
40,000*8/25= the diameter, because the diameter is 8/25 of the equator which is 40000
Diameter= 40,000*8/25
Diameter= 12,800 km
By applying the segment addition postulate, the <u>value of v = 7</u>
- According to the Segment Addition Postulate, it holds that if point C is between points D and E, therefore:
DC + CE = DE

- Therefore, by substitution, we will have the following equation:

- Open the bracket and solve for the value of v.



v = 10
Therefore, using the segment addition postulate, the <u>value of v = 10</u>
Learn more about the segment addition postulate here:
brainly.com/question/1721582
Answer:
The length of the model is 6 inches.
Step-by-step explanation:
The wingspan of the airplane and length of the airplane are a ratio of 4:3
The model is also supposed to be 4:3.
4:3 x 2 = 8:6
Or, 20x12=240
240/8=30
15x12=180
180/30=6.