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Ivenika [448]
3 years ago
15

The product of the slopes of two non-vertical perpendicular lines is always -1. It is NOT possible for two perpendicular lines t

o both have a positive slope because the product of two positives is positive. So for the product of the slopes to be -1, one of the slopes must be positive and the other negative.
Is this true or false?
Mathematics
2 answers:
soldi70 [24.7K]3 years ago
8 0

Answer: It is true.

Step-by-step explanation:

For example:

If the slope of a line "A" is 3/4 and it is perpendicular to a line "B", then the slope of the line B must be -4/3, because the slope of perpendicular lines are opposite reciprocal.

If you multiply this slopes, you obtain:

(\frac{3}{4})(-\frac{4}{3})=-1

Therefore, keeping the explanation above on mind, the answer is: True.

disa [49]3 years ago
7 0
<h2>Answer:</h2>

<u>The statement is</u><u> True</u>

<h2>Step-by-step explanation:</h2>

If there are two non-vertical lines in the same plane and they intersect at a right angle then they are said to be perpendicular to each other. Horizontal and vertical lines are perpendicular to each other which means that the axes of the coordinate plane is perpendicular. The slopes of two perpendicular lines are negative reciprocals which simply means that for the product of the slopes to be -1, one of the slopes must be positive and the other negative.

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A rectangle has vertices A(1, 6), B(6, 6), C(6, 3) and D(1, 3). What is the perimeter of the rectangle?. Single choice.
DerKrebs [107]

Answer:

16 units

Step-by-step explanation:

graph each point on a graph and it will form a rectangle and then count the units around the rectangle and add them up and you get 16 units

8 0
3 years ago
The area of a circle is 16pi cm2. What is the circle's circumstance?
gavmur [86]
I think you mean circumference...Area is A= \pi  r^{2}. We have the area so we need to use it to solve for the radius which we will then use in the circumference formula.  16 \pi = \pi  r^{2}.  Divide both sides by pi to get \frac{16 \pi }{ \pi } = r^{2}.  Of course the simplification of the left side gives us 16= r^{2} and r = 4.  Now fill that in to the circumference formula, which is C=2 \pi r, to get CC=2 \pi (4) which is a circumference of 8 \pi
4 0
3 years ago
A library is open til' 5:00 P.M. On Wednesdays, the library closes 2 hours early. How many hours for a month is the library open
svet-max [94.6K]
So
if you assume that the month has 30 days and that the library opens at midnight, then
24 hours in a day
5 pm=12+5=17 hours
on wednessday=17-2=15 hours
wednessday=1/7 of week
so we find 1/7 of 30 which is 30/7=4 and 2/7
then subtract that from 30
30-4 and 2/7=25 and 5/7

ok so then we have
25 and 5/7 days is 17 hours and
4 and 2/7 days is 15 hours
so just multipy them and add

25 and 5/7 times 17=437.143 hours
4 and 2/7 days times 15 =64.2857
add

437.143+64.2856=501.429
so aprox 501.429

the real equation is  [(\frac{1}{7})(n)(15)]+[ (\frac{6}{7}) (n)(17)]=hours where n represents the number of days in the month

apros 501.429
8 0
3 years ago
Identify a pattern in each list of numbers. Then use this pattern to find the next number.
Galina-37 [17]

\begin{array}{cccccccc}\\ \underline{-3}&,&12&,&-33&,&102\\ \cline{1-7} &&(-3)(\underline{-3})+3&&(-3)(12)+3&&(-3)(-33)+3 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccc} -303&,&912\\ \cline{1-3} (-3)(102)+3&&(-3)(-303)+3 \end{array}

4 0
2 years ago
Each letter of the word "thunderstorm" has been written on a separate slip of paper and put into a box. Find the probability of
xxTIMURxx [149]

SOLUTION

From the question, we want to find the probability of selecting a slip of paper with the letter t on it, then selecting the letter r, with replacement.

This means the probability of selecting t and r.

That is

P(t)\times P(r)

There are 12 letters (total outcomes). And there are 2r and 2t.

So probability becomes

\begin{gathered} \frac{possible\text{ outcome}}{\text{total outcome }} \\ P(t)=\frac{2}{12} \\ P(r)=\frac{2}{12} \\ P(t)\times P(r)=\frac{2}{12}\times\frac{2}{12} \\ =\frac{1}{6}\times\frac{1}{6} \\ =\frac{1}{36} \end{gathered}

Hence the answer is

\frac{1}{36}

7 0
1 year ago
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