4x-3y=10 x+2y=-14 solve the equation using the linear combination method
1 answer:
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Answer:
The other endpoint of the segment is .
Step-by-step explanation:
The midpoint of the points and
is given by the following formula:
where = coordinates of the midpoint.
We know that the midpoint is (-15, 2) and an endpoint is (-12, 11). Substituting the information we have gives:
To find we need to solve this equation:
and to find we need to solve this equation:
The other endpoint of the segment is .
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
Solve for x
Subtract x both sides
Adds 1 both sides
The solution is the interval -------> (3,∞)
All real numbers greater than 3
In a number line is the shaded area at right of x=3 (open circle)
see the attached figure
Answer:
a. 11/5 pi; -9/5 pi
Step-by-step explanation:
Coterminal angles are those which have a common terminal side. For example 30° is coterminal with −330° and 390° (see figure).
From the example we can see that the following expressions must be fulfilled:
positive angle - reference angle = 360°
reference angle - negative angle = 360°
where positive angle is 390°, reference angle is 30° and negative angle is -330°. In this problem reference angle is pi/5. Also, we have to change 360° for its equivalent in radians, i. e., 2 pi. So,
positive angle - pi/5 = 2 pi
positive angle = 2 pi + pi/5
positive angle = 11/5 pi
pi/5 - negative angle = 2 pi
negative angle = pi/5 - 2 pi
negative angle = -9/5 pi
