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2 years ago

Do all perpendicular lines have negative reciprocal slopes?

Mathematics

1 answer:

inna [77]2 years ago

6 0

Not necessarily, the more correct definition is opposite reciprocal slopes.

The example used is how horizontal and vertical lines are parallel. Horizontal lines have a slope of 0, also written as 0/1. However, vertical lines have an undefined slope, which isn't necessarily negative. It has a slope of 1/0, which is undefined. In this case, the reciprocal isn't negative.

In all other cases (1 and -1, 2 and -1/2, etc.) yes, the perpendicular pairs are negative and reciprocal.

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What is the second transformation

Oksana_A [137]

A rotation about point H

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2 years ago

Given: AC – AR <1 = <2 Prove: <3 =<4

Katena32 [7]

Answer:

ΔCTA ≅ ΔDRA

Step-by-step explanation:

Triangles CTA and DRA are congruent by ASA postulate. This is because:

∠1 ≅ ∠2 (given)

AC ≅ AR (given)

∠A is the same for both triangles (they are opposite angles)

Then, correspondent angles and sides are congruent, for example, ∠3 ≅ ∠4

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3 years ago

Roughly estimate the volume of a tennis ball in cubic cm by using 6 cm for diameter and 3 for pi. round the answer to the neares

galben [10]

The volume of ball is 113.04 cubic centimeter

Solution:

Given that we have to find the volume of tennis ball

Since the ball is of sphere shape, we can use the sphere formula

The volume of sphere is given by formula:

$V = \frac{4}{3} \times \pi \times r^3$

Where, "V" is the volume and "r" is the radius

Given that,

Diameter = 6 cm

Therefore,

$Radius = \frac{diameter}{2}\\\\Radius = \frac{6}{2}=3$

Substituting in formula, we get

$V = \frac{4}{3} \times 3.14 \times 3^3\\\\V = 4 \times 3.14 \times 3^2\\\\V = 12.56 \times 9\\\\V = 113.04$

Thus volume of ball is 113.04 cubic centimeter

3 0

3 years ago

14. Monique has 15 oranges, 9 peaches, and 18 pears. She wants to put all of the fruit into decorative baskets. Each basket must

Ksivusya [100]

Answer:

Step-by-step explanation:

15/3=5

9/3=3

18/3=6

answer is 3 I believe.

3 0

2 years ago

Sapphire and Abe are shelving books at a public library. Sapphire shelves 12 books at a time, whereas Abe shelves 18 at a time.

valkas [14]

Answer: 36

Step-by-step explanation:

Given: Sapphire shelves 12 books at a time, whereas Abe shelves 18 at a time.

If they end up shelving the same number of books, what is the smallest number of books each could have shelved = LCM (12,18)

12 = 2 x 2 x 3

18 = 2 x 3 x 3

LCM (12, 18) = 2 x 2 x 3 x 3 = 36

Hence, the smallest number of books each could have shelved = 36

8 0

2 years ago

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