What is the equation of the line that goes through the points (5, 11) and (7,21)?
1 answer:
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Hello from MrBillDoesMath!
Answer:
4/sin(80)
which is approximately 4.06
Discussion:
From the triangle, not drawn too accurately (see attachment)
sin(80) = side opposite /hypotenuse =>
sin (80) = 4/c => multiply both sides by "c"
c sin(80) = 4/c * c =>
c sin(80) = 4 => divide both sides by sin(80)
c = 4/sin(80)
and 4/sin(80) is approximately 4.06
Thank you,
MrB
Answer:
<u><em>The length of AD is 32 feet</em></u>
Step-by-step explanation:
<u>Proportional distances </u>
When distances are proportions of others, we can express all of them as relative fractions until we reach some known distance and solve for the desired length
Let's call x the length of AD. Given C is the midpoint of AD, then
Given B is the midpoint of AC, then
If we know BC=8 feet
The length of AD is 32 feet
Answer:
Third option.
Step-by-step explanation:
For this exercise you need to remember one of the properties for exponents.
There is a property called the "Negative property of exponents" which states the following:
Where
As you can observe, is the reciprocal of
In this case you have the following expression given in the exercise:
Observe the expression. As you can notice, the base "n" has a negative exponent, which is -6.
Therefore, applying the Negative property of exponents explained at the beginning of this explanation, you can simplify the expression.
Then, the simplified form of is the one shown below: