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2 years ago

Solve 3x + y = 1 for y*

Mathematics

1 answer:

guapka [62]2 years ago

4 0

Answer:

y = 1 - 3x

Step-by-step explanation:

hopes this helps

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Find x Thanks for the help in advance!

Marina86 [1]

I'm not sure if this is the easiest way of doing this, but it surely work.

Let the base of the triangle be AB, and let CH be the height. Just for reference, we have

$AH=2,\quad HB=6,\quad AC=x$

Moreover, let CH=y and BC=z

Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system

$\begin{cases}4+y^2=x^2\\36+y^2=z^2\\x^2+z^2=64\end{cases}$

If we solve the first two equations for y squared, we have

$y^2=x^2-4\\y^2=z^2-36$

And we can deduce

$z^2 = x^2+32$

So that the third equation becomes

$x^2+x^2+32=64 \iff 2x^2 = 32 \iff x^2=16 \iff x=4$

(we can't accept the negative root because negative lengths make no sense)

7 0

2 years ago

What is the median number for the numbers 4, 8, 10, 5, 9

AVprozaik [17]

the answer is 10.

place your index fingers on the 4 & the 9 then move in toward the 10 the number in the middle is 10.

4 0

2 years ago

Consider the function.

Licemer1 [7]

Answer:

Option 4

Step-by-step explanation:

Given function is,

$f(x)=2\frac{1}{2}-3\frac{1}{3}x$

Steps to get the inverse of the given function,

Step 1,

Convert the function into equation,

$y=2\frac{1}{2}-3\frac{1}{3}x$

Step 2,

Interchange the variables 'x' and 'y',

$x=2\frac{1}{2}-3\frac{1}{3}y$

Step 3,

Solve the equation for the value of y,

$x-2\frac{1}{2}=-3\frac{1}{3}y$

$x-\frac{5}{2}=-\frac{10}{3}y$

$-x+\frac{5}{2}=\frac{10}{3}y$

$-3x+\frac{15}{2}=10y$

$-\frac{3}{10}x+\frac{15}{20}=y$

$y=-\frac{3}{10}x+\frac{3}{4}$

Step 4,

Convert the equation into inverse function,

$f^{-1}x=-\frac{3}{10}x+\frac{3}{4}$

For x-intercepts,

Substitute y = 0,

$0=-\frac{3}{10}x+\frac{3}{4}$

$\frac{3}{10}x=\frac{3}{4}$

$x=\frac{10}{4}$

$x=\frac{5}{2}$

$x=2\frac{1}{2}$

Therefore, x-intercept of the inverse function is $(2\frac{1}{2},0)$ .

Option 4 will be the answer.

8 0

2 years ago

Karen buys a stereo for the sale price

Degger [83]

Answer:

50%

Step-by-step explanation:

you divide 81.90 by 163.80 and get .5 so then you move the decimal over 2 times to get a percent which is 50%

4 0

2 years ago

What is the productof(-3/5)and (-15)

mafiozo [28]

Answer: ok i kown

Step-by-step explanation:

i kown

5 0

2 years ago

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