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Aneli [31]
3 years ago
12

Y=-4x-41 that passes through (-2,7)

Mathematics
2 answers:
Westkost [7]3 years ago
5 0

Answer:

Parallel: y=-4x-1

Perpendicular: y=-4x+13/2

Step-by-step explanation:

For the equation y=-4x-41, the slope is -4. Writing a line related to this equation has two options:

  • If the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y-7)=-4(x--2)


y-7=-4x-8


y=-4x-1

  • If the line will be perpendicular to it then the slope is the negative reciprocal of the previous slope. It is 1/4.

(y-7)=1/4(x--2)


y-7=1/4x-1/2


y=-4x+13/2


mafiozo [28]3 years ago
3 0

Hello there,

Answer: y=-4x+13/2


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Find the unknown side:<br> V<br> u<br> 2.5<br> 85<br> 26
tia_tia [17]

Answer:

u ≈ 5.7

Step-by-step explanation:

Using the Sine rule in Δ TUV, that is

\frac{t}{sinT} = \frac{u}{sinU} , substitute values

\frac{2.5}{sin26} = \frac{u}{sin85} ( cross- multiply )

u × sin26° = 2.5 × sin85° ( divide both sides by sin26° )

u = \frac{2.5sin85}{sin26} ≈ 5.7 ( to 1 dec. place )

5 0
3 years ago
Will GIVE 50 POINTS AND MARK BRAINLIEST
34kurt
-2f(x) means it is reflected and has a negative slope.
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4 0
4 years ago
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DIA [1.3K]

Answer:

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Step-by-step explanation: hope this help

5 0
3 years ago
If a substance decays at a rate of 25% every 10 years, how long will it take 512 grams of the substance to decay to 121.5 grams
Juliette [100K]

Answer:

It will take 50 years to decay from 512 grams to 121.5 grams.

Step-by-step explanation:

The decay formula :

N=N_0e^{-\lambda t}

where

N= amount of substance after t time

N₀= initial of substance

t= time.

A substance decays at a rate 25% every 10 years.

So, remaining amount of the substance is = (100%-25%)= 75%

\frac{N}{N_0}=\frac{75\%}{100\%}=\frac{75}{100}=\frac34, t= 10

N=N_0e^{-\lambda t}

\Rightarrow \frac {N}{N_0}=e^{-\lambda t}

\Rightarrow \frac34 =e^{-\lambda .10}

Taking ln both sides

\Rightarrow ln|\frac34| =ln|e^{-\lambda .10}|

\Rightarrow ln|\frac34|=-10\lambda

\Rightarrow \lambda=\frac{ ln|\frac34|}{-10}

Now , N₀= 512 grams, N= 121.5 grams, t=?

N=N_0e^{-\lambda t}

\therefore 121.5=512e^{-\frac{ln|\frac34|}{-10}.t}

\Rightarrow 121.5=512e^{\frac{ln|\frac34|}{10}.t}

\Rightarrow \frac{121.5}{512}=e^{\frac{ln|\frac34|}{10}.t}

Taking ln both sides

\Rightarrow ln|\frac{121.5}{512}|=ln|e^{\frac{ln|\frac34|}{10}.t}|

\Rightarrow ln|\frac{121.5}{512}|={\frac{ln|\frac34|}{10}.t}

\Rightarrow t=\frac{ln|\frac{121.5}{512}|}{\frac{ln|\frac34|}{10}}

\Rightarrow t=\frac{10.ln|\frac{121.5}{512}|}{{ln|\frac34|}}

⇒t=50 years

It will take 50 years to decay from 512 grams to 121.5 grams.

8 0
4 years ago
Nina wants to put color tiles on a square 3 color tiles fit across the top of the square.How many rows and columns of tiles will
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How many tiles are put vertically?  Just multiply the number by three.
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3 years ago
Read 2 more answers
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