Answer:
- (9.5, 6.5) and (-4.5, -7.5)
Step-by-step explanation:
Let the extended points be A' and B' and add the point M as midpoint of AB
<u>Coordinates of M are:</u>
- ((6 - 1)/2, (3-4)/2) = (2.5, -0.5)
Now point A is midpoint of A'M and point B is midpoint of MB'
<u>Finding the coordinates using midpoint formula:</u>
- A' = ((2*6 - 2.5),(2*3 - (-0.5)) = (9.5, 6.5)
- B' = ((2*(-1) - 2.5), (2*(-4) - (-0.5)) = (-4.5, -7.5)
Answer:
y - 8 = (3/2)(x + 4)
Step-by-step explanation:
As we move from (-4, 8) to (2, -1), x increases by 6 (this is the run) and y decreases by 9 (this is the "rise"). Thus, the slope is
m = rise / run = 9/6, or 3/2.
Using the point-slope form of the equation of a straight line, we get:
y - 8 = (3/2)(x + 4)
Answer: 20 hours
Step-by-step explanation: We want to round our answer to the nearest hour, we know that the rocket can travel 200 miles per 1 minute, but we want to know first how many miles the rocket can travel per 60 minutes or 1 hour.
To find how many miles the rocket can travel at 60 minutes or 1 hour, simply multiply 200 x 60. 200 x 60 = 12,000 miles per hour.
Now, we want to find how many hours it would take for the rocket to travel from the earth to the moon.
Simply divide 239,000 by 12,000 to get the amount of hours it would take to reach the moon. 239,000/12,000 = about 20 hours.
So, it would take the rocket ship 20 hours to reach the moon from the earth.
The other two angles would also be 120 and 40 because the opposite angles of parallelograms are equal
4.b.
Answer: See below.
Step-by-step explanation:
<h2><u>
For the equation f(x) = 2x</u></h2>
3.a. f(6) means use x = 6 in the equation f(x) = 2x
so f(6) would be f(6)= 2(6)
<u>f(6) = 12</u>
3.b. f(-11) = 2(-11)
<u>f(-11) = -22</u>
3.c. f(2.75) = 2(2.75)
<u>f(2.75) = 5.5</u>
3.d. This is turned around. We are told f(x)=20, so what would x need to be for f(x) to be 20? Since f(x) = 2x, we can say 20 = 2x. Therefore x = 10
f(10) = 20
<u>The rest of (3) are solved in the same fasion.h</u>
<u></u>
<h2><u>
For the equation f(x)= 5x+50</u></h2>
4.a. f(7) = 5(7)+50
<u>f(7) = 85</u>
4.b. f(-12)
f(-12) = 5*(-12)+50
<u>f(-12) = -60</u>
<u></u>
Continue in the same fashion for these types of problems.
