4 years ago

How do you solve these type of problems

Mathematics

1 answer:

Yuri [45]4 years ago

6 0

Y- intercept is (0,8) you can’t solve it, it’s already in a expression

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A pound of chocolate cost six dollars . Donna buys P pound. Write an equation to represent the total cost c that Donna pays

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Answer:

c = 6P

Step-by-step explanation:

equation format: c = mP

c = the total cost Donna pays

m = the cost per pound of chocolate(6)

P = the amount of pounds Donna buys

Since we know the cost per pound is $6, we can input it into the equation format:

c = 6P

Now we have an equation that represents the total cost (c) that Donna pays for P pounds.

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Answer:

Step-by-step explanation:

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3 years ago

Sum and difference tan(135+30)

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$\tan(x+y)=\dfrac{\sin(x+y)}{\cos(x+y)}=\dfrac{\sin x\cos y+\sin y\cos x}{\cos x\cos y-\sin x\sin y}=\dfrac{\tan x+\tan y}{1-\tan x\tan y}$

So,

$\tan(135^\circ+30^\circ)=\dfrac{\tan135^\circ+\tan30^\circ}{1-\tan135^\circ\tan30^\circ}$

You should know that $\tan135^\circ=-1$ and $\tan30^\circ=\dfrac1{\sqrt3}$

Putting everything together,

$\tan(135^\circ+30^\circ)=\dfrac{-1+\dfrac1{\sqrt3}}{1-(-1)\left(\dfrac1{\sqrt3}\right)}=\dfrac{1-\sqrt3}{\sqrt3+1}=\sqrt3-2$

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