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3 years ago

7

Which of the following could be an equation of the line that is perpendicular to= 2x + 5

2 answers:

nataly862011 [7]3 years ago

8 0

Alright, I don't know what your choices are, but here's my input:
For a line to be perpendicular to another line, the slope needs to be the opposite reciprocal of the slope of the given line. Now, by opposite, I mean if your slope is positive, this one needs to be negative (or vice versa). For reciprocal, I mean flip the fraction over. In this case, we have a slope of 2, so its opposite is -2 & the reciprocal is -1/2. So, whatever line has a slope of -1/2 is your answer.

Hope this helps!

vaieri [72.5K]3 years ago

3 0

I say that it is line x+3

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If sin ⁡x=725, and 0 ∠ x ∠ pi/2, what is the tan (x - pi/4)

krok68 [10]

$Tan(x-\frac{\pi }{4}) = \frac{-17}{31}$

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

Here we have , sin ⁡x=7/25( given sin x = 725 which is not possible ) , $0$ . Let's find tan (x - pi/4):

⇒ $Tanx = \frac{sinx}{cosx}$

⇒ $Tanx = \frac{sinx}{\sqrt{1-(sinx)^{2}}}$

⇒ $Tanx = \frac{\frac{7}{25}}{\sqrt{1-(\frac{7}{25})^{2}}}$

⇒ $Tanx = {\frac{7}{25}}{\sqrt{(\frac{625}{625-49})^{}}}$

⇒ $Tanx = {\frac{7}{25}}(\frac{25}{24} )$

⇒ $Tanx = {\frac{7}{24}}$

Now , $Tan(x-\frac{\pi }{4}) = \frac{Tanx - Tan(\frac{\pi }{4} )}{1+ Tanx(Tan(\frac{\pi }{4} )}$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{Tanx -1}{1+ Tanx(1)}$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{\frac{7}{24} -1}{1+\frac{7}{24} }$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{\frac{7-24}{24} }{\frac{7+24}{24} }$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{-17}{24} (\frac{24}{31} )$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{-17}{31}$

7 0

3 years ago

Mitch has 50 pieces of licorice. He shares them equally with his sister.

leonid [27]

50/2=L is the a expression

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lesya692 [45]

Answer:

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2. Divide the Opposite of A and B

3. Doesn't make sense the y-intercept is C/By sry I can't help that one

Step-by-step explanation:

1. Ax + By = C

By = -Ax + C

y = $\frac{-A}{By}$ x + $\frac{C}{By}$

2. No explanation

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2 years ago

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Yakvenalex [24]

Answer:

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if the model is 63. 5 cm, and 2.54 cm is equivalent to 1 in

you can do 63.5 / 2.54 to get 25 in

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Answer:

A (0,5)

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Look where both lines intersect.

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