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brilliants [131]
3 years ago
10

Line A is perpendicular to line B. The slope of line A is -1/9 what is the slope of line b?

Mathematics
2 answers:
fredd [130]3 years ago
8 0
The slope of the line is 9
Pani-rosa [81]3 years ago
4 0
\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}
{\stackrel{slope}{-\cfrac{1}{9}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{9}{1}}\qquad \stackrel{negative~reciprocal}{+\cfrac{9}{1}}\implies 9}
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8 0
3 years ago
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The legs of a right triangle are 12 cm and 16 cm. What is the length of the hypotenuse? 15 cm 17 cm 20 cm 28 cm
GalinKa [24]
Answer: 20 cm

To solve this, use the Pythagorean Theorem, a² + b² = c², where a and b are the legs of the right triangle, and c is the hypotenuse of the right triangle.
**The Pythagorean Theorem only works for right triangles.**

Substitute in the values.
a² +  b² = c²
12² + 16² = c²

Solve for c, the hypotenuse.
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7 0
3 years ago
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Suppose you have 18 objects (10 of type A, 5 of type B, and 3 of type C). Objects of type A are indistinguishable from each othe
Paladinen [302]

Answer:

\binom{18}{5}= 8568

Step-by-step explanation:

Note that we have in total 18 items. Even though we are given information regarding the amounts of items per type, the general question asks the total number of ways in which you can pick 5 out of the 18 objects, without any restriction on the type of chosen items. Therefore, the information regarding the type is unnecessary to solve the problem.

Recall that given n elements, the different ways of choosing k elements out of n is given by the binomial coefficient \binom{n}{k}).

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Step-by-step explanation:

6 0
3 years ago
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Alex777 [14]
In order to eliminate the y term, you need to find what y is equal to in the equation.
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Y=6/5x+4/5
You then sub in 6/5x+4/5 in for y in the equation
2. 4x+2y=28
2y=-4x+28
Y=-2x+14
Hope this helps!
5 0
3 years ago
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