Answer:
Step-by-step explanation:
an equation perpendicular to the equation given will have a slope of -1, because a perpendicular slope is opposite and reciprical. if it goes through the point 4,-1 and has a slope of -1, the y intercept has to be 3. y = -x + 3
parallel lines have to have the same slope of 3.
Answer:
B
Step-by-step explanation:
To complete the question, here are the answer choices:
<em>A) =A1*A2*A3*A4
</em>
<em>B) =A1*A2+A3+A1*A4
</em>
<em>C) =A1*(A2+A3+A1)*A4
</em>
<em>D) =A1*A2+(A3+A1)*A4</em>
<em />
We first need to multiply A1 and A2, this will give weight of passengers.
To get weight of luggage, we multiply A1 and A4.
We also need the checked weight to add to that, which is in A3. So then we add up A3 with those 2.
So we will get
A1*A2 + A1*A4 + A3
This is given in a different order in Option B. Hence, option B is right.
Answer:
12.1 cm
Step-by-step explanation:
Using the law of sines, we can find angle C. Then from the sum of angles, we can find angle B. The law of sines again will tell us the length AC.
sin(C)/c = sin(A)/a
C = arcsin((c/a)sin(A)) = arcsin(8.2/13.5·sin(81°)) ≈ 36.86°
Then angle B is ...
B = 180° -A -C = 180° -81° -36.86° = 62.14°
and side b is ...
b/sin(B) = a/sin(A)
b = a·sin(B)/sin(A) = 13.5·sin(62.14°)/sin(81°) ≈ 12.0835
The length of AC is about 12.1 cm.
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<em>Comment on the solution</em>
The problem can also be solved using the law of cosines. The equation is ...
13.5² = 8.2² +b² -2·8.2·b·cos(81°)
This is a quadratic in b. Its solution can be found using the quadratic formula or by completing the square.
b = 8.2·cos(81°) +√(13.5² -8.2² +(8.2·cos(81°))²)
b = 8.2·cos(81°) +√(13.5² -(8.2·sin(81°))²) . . . . . simplified a bit
Answer:
3.2
Step-by-step explanation:
