$y = \frac{x + 2}{x - 4} \\ xy - 4y = x + 2 \\ xy - x = 4y + 2 \\ x(y - 1) = 4y + 2 \\ x = \frac{4y + 2}{y - 1} \\ \boxed{x = \frac{2(2y + 1)}{y - 1} }$

hope this helps.

3 0

2 years ago

Abbot is paid weekly for every hour he works. He worked 6 hours each day for 5 days last week. He earned $408, before taxes. Wri

Contact [7]

Answer:

p=13.6h

Step-by-step explanation:

if he works 6 hours a day for five days that's 30 hours. $408 divided by 30 hours is $13.6 per hour.

3 0

2 years ago

Find the value of each variable. If you give the decimal value, round to the nearest tenth.

DiKsa [7]

u = 10.4 and v = 12

Solution:

In the given 2 sides of a triangle are 60°, 60°.

Sum of all the angles of a triangle = 180°

60° + 60° + third angle = 180°

⇒ third angle = 180° – 60° – 60°

⇒ third angle = 60°

All angles are equal, therefore the given triangle is an equilateral triangle.

⇒ All sides are equal in length.

⇒ v = 12

The line drawn from the top angle divides the triangle into two equal parts

and the line is perpendicular.

12 ÷ 2 = 6

Using Pythagoras theorem,

$\text{Base}^2+\text{Opposite}^2=\text{Hypotenuse}^2$

⇒ $6^2+\text{opposite}^2=12^2$

⇒ $36+\text{opposite}^2=144$

⇒ $\text{opposite}^2=108$

⇒ $\text{opposite}=6\sqrt3=10.4$

⇒ u = 10.4

Hence, u = 10.4 and v = 12.

7 0

3 years ago