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Zarrin [17]
3 years ago
7

If the product of the two slopes of two lines equals -1, then the lines are ?

Mathematics
1 answer:
VladimirAG [237]3 years ago
7 0

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{a}{b}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{b}{a}}\qquad \stackrel{negative~reciprocal}{-\cfrac{b}{a}}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \left( \cfrac{a}{b} \right)\left( -\cfrac{b}{a} \right)=-1~\hfill

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What is 33 1/2 of 24 and 37 1/2 of 80 and finally, what is 66 2/3 of 45
igor_vitrenko [27]
33 1/2 of 24= 67/2(into mixed number)*(of means times)24
67/2*24=1608/2=804

37 1/2 of 80=75/2*80=6000/2=3000

66 2/3 of 45=200/3*45=9000/3=3000
4 0
3 years ago
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The local drugstore is offering 15% off the normal price for a 16-pack of AAA batteries. If a 16-pack of AAA batteries is normal
BigorU [14]
Multiply 15%*9.99=1.4985 this is the discount.
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6 0
3 years ago
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Are these triangles congruent?
mylen [45]
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8 0
3 years ago
Convert the angle \theta=260^\circθ=260
mel-nik [20]

Question:

Convert the angle θ=260° to radians.

Express your answer exactly.

θ = ___ radians

Answer:

260° = 13π/9 or 4.54 rad

Step-by-step explanation:

Given

θ=260°

Required

Convert from degree to radians

To convert an angle in degrees to radians, we simply follow the steps below.

1° = 1 * π/180 rad

Replace the 1° with x

So,

x° = x * π/180 rad.

Now, we assume that x = 260

This means that we substitute 260 for x. This gives

260° = 260 * π/180

260° = 260π/180

Divide numerator and denominator by 20

260° = 13π/9

We can leave the answer in this form or solve further.

Take π as 22/7. This gives

260° = 13/9 * 22/7

260° = 286/63

260° = 4.5396825397

260° = 4.54 rad (Approximated)

3 0
3 years ago
A boat travels N 31° E for 65 miles and then N 59° W for 102 miles. Find the distance of the boat from its starting point.
ra1l [238]

The directions of travel are at right angles to each other, so the Pythagorean theorem can be used to find the straight-line distance to the starting point. That distance (d) satisfies ...

d² = 65² +102²

d = √(4225 +10404) = √14629 ≈ 120.95

The appropriate choice is ...

... c. 121 miles

4 0
3 years ago
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