All categories

4 years ago

How do you solve x/3-7x/12=2/3?

1 answer:

amm18124 years ago

8 0

$\frac{x}{3}-\frac{7x}{12}=\frac{2}{3}\ \ \ |Multiply\ by\ 12\\\\
4x-7x=2*4\\\\
4x-7x=8\ \ \ \\\\
-3x=8\ \ \ |:(-3)\\\\
x=-\frac{8}{3}=-2\frac{2}{3}$

You might be interested in

Write and equation of the translated or rotated graph in general form (picture below)

Svetlanka [38]

Answer:

Option b

Step-by-step explanation:

The equation $4x ^ 2 + 5y ^ 2 = 20$ has center in (0,0).

But the transformation $T(5, -6)$ shifts the center of the equation to the point (5, -6).

Therefore, when applying $T(5, -6)$ we will have the following equation translated.

$4(x-5) ^ 2 + 5(y - (-6)) ^ 2 = 20$ .

Simplifying we have:

$4(x-5) ^ 2 + 5(y + 6) ^ 2 = 20$

Now we expand $(x-5) ^ 2$ and $(y + 6) ^ 2$

$4(x ^ 2 -10x +25) + 5(y ^ 2 + 12y +36) = 20\\\\4x ^ 2 -40x + 100 + 5y ^ 2 + 60y + 180 = 20\\\\4x ^ 2 + 5y ^ 2 -40x + 60y +260 = 0$

The equation of a circle has the form

$h(x-a) ^ 2 + q(y-b) ^ 2 = r$

For h = 1 and q = 1.

If $h \neq 1$ and $q\neq 1$ then the graph becomes an ellipse.

In this problem h = 4 and q = 5 therefore the figure is an ellipse

3 0

3 years ago

Factorize: 4m^2-y^2+4m+1

notsponge [240]

Answer:

(2m + 1 + y) (2m + 1 - y)

Step-by-step explanation:

steps are done in the above photo and i have also written the identifies

5 0

3 years ago

1. y = 2x - 3 and x = 7

V125BC [204]

Answer:y = 11

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

This is a 30-60-90 triangle. what is the measure of X? please explain

natulia [17]

$x = 10 \sin(60) \\ x = 10 \frac{ \sqrt{3} }{2} \\ x = 5 \sqrt{3}$

6 0

3 years ago

What is the solution for x in the equation?

Natalija [7]

Answer:

x=-2

Step-by-step explanation:

4 0

3 years ago