Your visually impaired friend asked you to enlarge your notes from class so he can study. You took notes on 8.5-inch by 11-inch
1 answer:
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We know that perpendicular lines have slopes which are negative inverses of each other. This means that the slope of the line we are going to need to find is 3.
Now, we can use the point-slope formula to find the actual equation of the line we are trying to find. The point-slope formula is
, where 
and 
are the coordinates of a point on the line and m is the slope.
Thus, the equation of the line we are trying to find is:
(y - 7) = 3(x - 2)
y - 7 = 3x - 6
y = 3x + 1
However, this is not an answer choice. The answers given have the constant on the right side of the equation. Thus, we will make our answer have the constant on the right side:
y - 3x = 1
-3x + y = 1
3x - y = -1
This is an answer choice. B, or 3x - y = -1 is the correct answer.
Now, we can use the point-slope formula to find the actual equation of the line we are trying to find. The point-slope formula is
Thus, the equation of the line we are trying to find is:
(y - 7) = 3(x - 2)
y - 7 = 3x - 6
y = 3x + 1
However, this is not an answer choice. The answers given have the constant on the right side of the equation. Thus, we will make our answer have the constant on the right side:
y - 3x = 1
-3x + y = 1
3x - y = -1
This is an answer choice. B, or 3x - y = -1 is the correct answer.
Answer:
The measure of angle N is 55°
Step-by-step explanation:
we know that
the law of cosines established
a² = b² + c² – 2*b*c*cos(A)
so
In this problem we have
a=ML=5.74 units
b=LN=4 units
c=MN=7 units
∠A=∠N=?
see the attached figure to better understand the problem
a² = b² + c² – 2*b*c*cos(A)------> cos (A)=[b²+c²-a²]/[2*b*c]
cos (A)=[4²+7²-5.74²]/[2*4*7]------> 0.57236
A=arc cos (0.57236)--------> A= 55°
therefore
The measure of angle N is 55°
Answer:
The value of the given expression is -878.08.
Step-by-step explanation:
Here, the given question is INCOMPLETE.
The complete question is:
Evaluate the expression for a = 4, b = -5, and c = -7.
Here, substitute the vale of a = 4, b = -5 and c = -7, we get:
Hence, the value of the given expression is -878.08.