$\frac{3}{7}+x=-\frac{3}{4}\\\\\frac{3}{7}(\frac{4}{4})+x=-\frac{3}{4}(\frac{7}{7})\\\\\frac{12}{28}+x=-\frac{21}{28}\\\\x=-\frac{21}{28}-\frac{12}{28}\\\\x=-\frac{33}{28}=1\ \frac{5}{28}$

3 0

3 years ago

Choose the equation that represents the graph below: (1 point) Graph of a line passing through points 0 comma 6 and 9 comma 0 y

aleksklad [387]

Answer:

Option C is correct.

Equation of a line $y=\frac{-2}{3}x+6$ passing through (0,6) and (9,0).

Explanation:

Given the two points (0, 6) and (9 ,0).

To find the equation for the given two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is,

$y-y_{1}=m(x-x_{1})$ ; where m is the slope and is given by:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

First find the slope m:

$m=\frac{0-6}{9-0} =\frac{-6}{9} =\frac{-2}{3}$

Substitute this value in equation of line:

$y-6=\frac{-2}{3} (x-0)$ or

$y-6=\frac{-2}{3} x$

⇒ $y=\frac{-2}{3}x+6$

Therefore, the equation for the given point is: $y=\frac{-2}{3}x+6$

7 0

3 years ago

The water in the reservoir decreases by 47% during a drop period before the drought the reservoir had 44,580 acre feet of water

Ket [755]

47 * 44,580
--------------
100

8 0

3 years ago