Answer:
A
Step-by-step explanation:
Find the slope of the perpendicular line.
The slopes are related by the formula
m1 * m2 = - 1
Since m1 is 1/2, m2 must be -2
So far what you have is y = -2x + b
Find the y intercept (b).
The new line goes through (4,1)
x = 4
y = 1
1 = -2(4) + b
1 = - 8 + b
b = 1 + 8
b = 9
The answer is
y = - 2x + 9
Answer:
6. 135°
7. 135°
Step-by-step explanation:
You have to assume that the figure is a regular octagon, so has central angles equal to exterior angles equal to 45°.
6. A regular anything is circumscribed by a circle, so the measure of any inscribed angle is half the measure of the corresponding central angle. That is, ∠BET =∠TBA = (45°)/2, so their sum is 45°. ∠BOT is the supplement of that, 180° - 45° = 135°.
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7. ∠GIT + ∠ITS is the same measure as one internal angle of the octagon. That is the supplement of the exterior angle we identified above as being 45°.
∠GIT + ∠ITS = 135°
Y = 4x - 9 and y = x-3 so the two right sides (4x-9 and x-3) must be equal
4x-9 = x-3
Let's solve for x
4x-9 = x-3
4x-9+9 = x-3+9 ... add 9 to both sides
4x = x+6
4x-x = x+6-x ... subtract x from both sides
3x = 6
3x/3 = 6/3 ... divide both sides by 3
x = 2
If x = 2, then y is...
y = 4*x - 9 = 4*2-9 = 8-9 = -1
which can also be found by
y = x-3 = 2-3 = -1
So overall x = 2 and y = -1
We have the ordered pair (x,y) = (2,-1)
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