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Answer:
The solution is the point (18,0)
Step-by-step explanation:
we have
-----> equation A
-----> equation B
Solve the system by substitution
substitute equation B in equation A

solve for x
Adds (1/3)x both sides


Adds 6 both sides



<em>Find the value of y</em>
substitute the value of x in equation A or equation B

therefore
The solution is the point (18,0)
First, we expand the equation:

Then, we combine certain terms in order to simplify them using trigonometry identities.

Note these identities:
Pythagoran relation:

Sum and Difference Formula/Identities:

Thus, if we apply these identities, the simplified equation would be:

Simplying further, the answer would be
Answer:
y = 4/5x + 3/5
Step-by-step explanation:
In the slope-intercept form, y = mx + b, we need to find the values of the slope (m) and the y-intercept.
Using points (-7, -5) and (3, 3), we can calculate for the slope of the equation given the formula:
Let (x1, y1) = (-7, -5)
and (x2, y2) = (3, 3).
Plug the given values into the slope formula:

Therefore, the slope of the line is 4/5.
Next, we need to find out the value of the y-intercept (b).
We can use one of the given points, (3, 3), along with the slope (4/5) to solve for the y-intercept:
y = mx + b
3 = 4/5(3) + b
3 = 12/5 + b
Subtract 12/5 from both sides:
3 - 12/5 = 12/5 - 12/5 + b
3/5 (or 0.6) = b
Therefore, the y-intercept is 3/5.
We can now establish our linear equation as:
y = 4/5x + 3/5
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Answer:
You would be able to go 165 miles in total
Step-by-step explanation:
You are going 60 miles per hour, so that instantly brings you up to 120 miles, because you are there for 2 hours and 45 minutes. Because you are going exactly 60 mph, and each hour is 60 minutes, you can compare that you go 1 mile per minute. If this statement is true, you'll go another 45 miles, bringing you to a grand total of 165 miles.