Answer:
B & C
Step-by-step explanation:
2:9 can also be written as 2/9
A. 9:2 is just the reciprocal of 2:9 so it is not equivalent to it
B. 18:81 is 2×9:9×9 meaning that is equivalent to 2:9
C: 12:54 is 2×6: 9×6 so it is equivalent to 2:9
Since the two correct answers have already been found, I don't need to explain more.
Hope this helped!!!
Given:
The equation of a line is

A perpendicular line on the given line passes through the point (4,-6).
To find:
The equation of the perpendicular line.
Solution:
We have,

On comparing this equation with slope intercept form
, we get

So, the slope of the given line is -4.
We know that the product of slopes of two perpendicular lines is always -1.




The slope of the required line is
and it passes through the point (4,-6). So, the equation of the line is





Therefore, the correct option is B.
Answer:
<h2>y = -3x - 1</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:

<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
The formula of a slope:

We have two points (1, -4) and (-2, 5).
Substitute:

Substitute the value of a slope and the coordinates of the point (1, -4) to the equation of a line:

<em>add 3 to both sides</em>


Finally:

Answer:
15) 3(4+r)=-18
3x4+3xr
12+3r= -18
-12 -12
3r= -30
/3 /3
r= -10
Step-by-step explanation:
distribute the 3 to the 4 and the r you should then have 12+3r=-18 and so subtract from both sides 12 and you should have 3r=-30 divide both sides by 3 and you get your answer r=-10