First of all, let's find the slope of line L. To find the slope of a line, you write it in the explitic form $y = mx+q$ , and consider the coefficient $m$ . So, we have

$2x - 3y = 5 \iff 3y = 2x-5 \iff y = \dfrac{2}{3} x - \dfrac{5}{3}$

So, the slope of line L is 2/3.

Two lines are parallel if they have the same slope. So, line M has slope 2/3 as well, and we know that it passes through the point (3, -10).

When you are given the slope $m$ and a point $(x_0,y_0)$ of a line, its equation is given by

$y-y_0=m(x-x_0)$

So, if you plug your values, you have

$y+10 = \dfrac{2}{3}(x-3)$

which you can simplify into

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

$y = \dfrac{2}{3}x-12$

7 0

3 years ago

a green ribbon is 9 inches long. a red ribbon is 1/10 the length of the green ribbon. a purple ribbon is 10 times as long as the

pishuonlain [190]

Answer: 900 inch
There is 3 ribbon in this question, Red ribbon(R), green ribbon(G) and purple ribbon(P). The relation would be
1. R= 9 inch
2. R= 1/10 G
3. P= 10 G

If you insert equation 1 into 2 then you will get:
9inch= 1/10G
G= 90 inch

After that insert the new equation into equation 3:
P= 10x 90 inch
P= 900inch

7 0

3 years ago

Tap on photo<br><br> Answer ASAP!<br><br> Extra points!!!

sukhopar [10]

Answer:

84mm²

Step-by-step explanation:

A=Formula for area of a triangle: $\frac{1}{2\\}$ (B×H)

A= $\frac{1}{2\\}$ (14×12)

A= $\frac{1}{2\\}$ (168)

A= 84mm²

3 0

3 years ago