Answer: y-3=4(x+1) in point-slope form and y=4x+7 in slope intercept form
Step-by-step explanation:
You can find the point-slope form by plugging the numbers into the following: y-y₁=m(x-x₁).
You will end up with y-(3)=(4)(x-(-1)) which when simplified equals y-3=4(x+1).
To find slope intercept form you know need to isolate y and simplify.
Adding 3 to both sides results in y=4(x+1)+3.
If you then distribute you get y=4x+4+3 which simplifies to y=4x+7.
<h3>
Answer: 4/3</h3>
Work Shown:
Slope = rise/run
Slope = (change in y)/(change in x)
Slope = (2-p)/(-10-(-6))
Slope = (2-p)/(-10+6)
Slope = (2-p)/(-4)
Set this equal to the stated slope -1/6 and solve for p
(2-p)/(-4) = -1/6
6(2-p) = -4(-1)
12-6p = 4
-6p = 4-12
-6p = -8
p = -8/(-6)
p = 4/3
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9514 1404 393
Answer:
14.9 cm
Step-by-step explanation:
To find c using the Law of Sines, you must know angle C. That is found from ...
C = 180° -A -B = 180° -150° -12° = 18°
Then the law of sines tells you ...
c/sin(C) = b/sin(B)
c = b·sin(C)/sin(B) = (10 cm)·sin(18°)/sin(12°)
c ≈ 14.9 cm
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