Answer:
c = 26
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem.
a^2 + b^2 = c^2
where a and b are the legs and c is the hypotenuse
10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
Take the square root of each side
sqrt(676) = sqrt(c^2)
26 = c
The equation of the plane that goes through these points is:
6x + 2y + z = 10.
<h3>How to find the equation of a plane given three points?</h3>
The equation of the plane is found replacing the points into the following equation:
ax + by + c = z.
For point A, we have that:
3b + c = 4.
For point B, we have that:
a + 2b + c = 0.
For point C, we have that:
-a + 6b + c = 4.
Hence the system is:
From the first equation, we have that:
c = 4 - 3b.
Replacing in the second, we have that:
a + 2b + 4 - 3b = 0
a - b = -4.
Replacing in the third, we have that:
-a + 6b + 4 - 3b = 4.
-a + 3b = 0.
a = 3b.
We have that a - b = -4, hence:
3b - b = -4
2b = -4
b = -2.
a = 3b, hence a = -6.
c = 4 - 3b -> c = 10.
Hence the equation is:
ax + by + c = z.
z = -6x - 2y + 10
6x + 2y + z = 10.
More can be learned about the equation of a plane at brainly.com/question/13854649
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-3 is one of them hope this helps
Answer:
x=-2
Step-by-step explanation:
If x always = -2, it is a straight vertical line which means it is parallel to the y axis
Answer: $446.25
Step-by-step explanation: If Kevin earns $95 per day after taxes and spends $5.75 for a subway ticket he has $95.00 - $5.75 = $89.25 left per day.
The calculate the amount for 5 days you need to multiply $89.25 by 5 = 5 x $89.25 = $446.25.
