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3 years ago

If two lines are parrallel do they have the same slope

Mathematics

2 answers:

victus00 [196]3 years ago

6 0

Answer:

no i dont think so becuse they can still be angeled in all diffrent directions

Step-by-step explanation:

zvonat [6]3 years ago

3 0

Yes, any two parallel lines have the same slope.

For example, graphing out y = 2x+5 and y = 2x+7 will produce parallel lines (both lines have a slope of 2). The two lines will never cross. Algebraically we can solve this system of equations as follows:

y = 2x+5 ... start with the first equation

2x+7 = 2x+5 ... replace y with 2x+7

2x+7-2x = 2x+5-2x .... subtract 2x from both sides

2x-2x+7 = 2x-2x+5

0x+7 = 0x+5

0+7 = 0+5

7 = 5 ... we have a contradiction and false statement here

Because of the false equation in the last line, the original system mentioned above does not have any solutions. A solution to a system is one where the two lines cross.

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Step-by-step explanation:

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3 years ago

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3 years ago

If csc x = −5, find csc(−x) find the period and horizontal shift

ella [17]

Answer:

$\csc (-x) = - \csc x = - ( - 5) = 5$

Period is 2π

Horizontal shift = 0

Step-by-step explanation:

We know that $\sin (-x) = - \sin x$ and as $\csc x = \frac{1}{\sin x}$ , so, we can write $\csc (-x) = - \csc x$

Therefore, the if $\csc x = - 5$ then $\csc (-x) = - \csc x = - ( - 5) = 5$ (Answer)

Now, the period of $\csc x$ is 2π, hence the period of $\csc (- x)$ is also 2π. (Answer)

Again. $\csc ( - x) = \csc (-x + 0)$ , hence, the horizontal shift of $\csc (- x)$ is 0. (Answer)

6 0

3 years ago

What is the unit rate if the candy is $7.80 for 2 pounds?

shutvik [7]

Answer:

= 3.9 candy per pound

Step-by-step explanation:

This is a fraction equal to

7.8 candy ÷ 2 pounds

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

7.8 candy ÷ 2

________

2 pounds ÷ 2

3.9 candy

_______

1 pound

3.9 candy

_______

pound

= 3.9 candy per pound

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3 years ago

A koala weighs 20 pounds. In her pouch she carries her joy that weighs 20 ounces. What is the combined weigth of the adult koala

sdas [7]

Answer: The answer is 21.25 pounds.

Step-by-step explanation: Given that the weight of Akoala is 20 pounds. Also, she is carrying her joey with her having weight 20 ounces. We need to find the combined weight of the adult Akoala and her joey in ounces.

For that, first we need to conver ounces to pounds.

We know

$1~\textup{pound}=16~\textup{ounces}\\\\\Rightarrow 1~\textup{ounce}=\dfrac{1}{16}~\textup{pounds}\\\\\Rightarrow 20~\textup{ounces}=\dfrac{1}{16}\times 20=\dfrac{5}{4}=1.25~\textup{pounds.}$

Therefore, the combined weight is given by

$W=20+1.25=21.25~\textup{pounds.}$

Thus, the answer is 21.25 pounds.

8 0

3 years ago