Answer:
y + 1 = -2/1 (x - 6)
Step-by-step explanation:
The above equation is written in point slope from. To find the slope of a line perpendicular to another line all you have to do is find the opposite reciprocal to the slope of the original line. The original line's slope is 1/2, the reciprocal is 2/1 and to create the opposite reciprocal you have to change the sign of the slope, so the new slope is -2/1. To finish the rest of the equation you plug in the points given to you in the question.
Answer:
Step-by-step explanation:
1. true
2. true
3. true
4. true
5. true
Answer:
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Step-by-step explanation:
Answer:
a)
b)
c)
d)
Step-by-step explanation:
We will use the following trigonometric identities
.
Recall that given a right triangle, the sin(theta) is defined by opposite side/hypotenuse. Since we know that the angle is in quadrant 2, we know that x should be a negative number. We will use pythagoras theorem to find out the value of x. We have that
which implies that . Recall that cos(theta) is defined by adjacent side/hypotenuse. So, we know that the hypotenuse is 7, then
b)Recall that , then using the identity from above, we have that
c) Recall that . Then,
d) Recall that and . Then
Answer:a
Step-by-step explanation: move c 6 to the right and then up 6