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Anettt [7]
3 years ago
11

Which of the following best describes perpendicular lines?

Mathematics
2 answers:
WARRIOR [948]3 years ago
8 0
I think that your answer would be B) lines that meet at a 90 degree angle. These lines must intersect, and they have slopes that are opposite reciprocals when compared to each other.
Kryger [21]3 years ago
3 0
Lines that meet as a 90° angle.

...

For lines to be perpendicular, the slopes of the lines must be negative reciprocals of one another, mathematically:

m1*m2=-1

Note that "slope" is velocity or change in y divided by change in x.  Using any value for m1, say 3 as an example.

m1=3, then m2=-1/3

tanα=dy/dx=m so

Then if we use the arctan function we can see the angles of the lines, ie

α=arctan3, ß=arctan(-1/3)

α≈71.56°, ß≈-18.44

α-ß=90°
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6 0
3 years ago
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Which of the following equations is equivalent to log(y)= 3.994 ?
Kisachek [45]

Answer:

The correct answer is option D: y = 10^{3.994}

Step-by-step explanation:

Given:  

log(y)= 3.994

Solution:

A logarithm base b of a positive number x satisfies the following definition:

y =log_b(x) => b^y =x

For x > 0, b >0, b \neq 1

Also if no base  b  is indicated, the base of the logarithm is assumed to be  10 .

Thus, in log(y)= 3.994 base b is not indicated. so its base is assumed to be 10

now

log_{10}(y)= 3.994

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4 0
3 years ago
For every quarter he spends, Reggie receives 50 food pebbles to feed the fish. Reggie has thrown 350 food pebbles into the fish
deff fn [24]

Answer:

7 quarters are spent for throwing 350 food pebbles in pond.

Step-by-step explanation:

Given:

Reggie receives 50 food pebbles for every quarter he spends.

Number of food pebbles he has = 350

Let the number of quarters spent for 350 pebbles be 'x'.

Now, using proportion and cross multiplication method, we can find 'x'.

<u><em>1 quarter is equivalent to 50 pebbles thrown in pond.</em></u>

<u><em>So, 'x' quarters is equivalent to 350 pebbles thrown in pond.</em></u>

\frac{1}{50}=\frac{x}{350}\\\\Cross\ multiplying\\\\50x=350\\\\x=\frac{350}{50}\\\\x=7

So, 7 quarters are spent for throwing 350 food pebbles in pond.

6 0
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wlad13 [49]

Answer: It cost 8$ for the truck

Step-by-step explanation:

6 0
2 years ago
Choose the correct graph of the given systems of equations. y − 2x = −1 2y − x = 4 graph of two lines intersecting at two comma
Serjik [45]

Answer:

Unfortunately, you have not provided the graphs for us to choose from. Hence, we cannot help you. Please refine your question before posting next time.

Step-by-step explanation:

7 0
2 years ago
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