Answer:
3y= -2x-6
Step-by-step explanation:
The two points on the line are (-3,0) and (0,-2)
so you first get the gradient;
gradient= <u>change in y</u>
change in x
= <u>-2-0</u>
0-(-3)
=<u> -2</u>
3
so the answer above is the gradient
then pick one point that you used to get the gradient with, so as for me I'll pick (-3,0) and then a general point which is always (x, y)
since you have the gradient you can easily get the equation by doing this
<u>y-0</u><u>. </u><u> </u> = <u>-2</u>
x-(-3). 3
then crossmultiply to get the equation of the line
3y= -2(x+3)
3y= -2x-6
Answer:
See below in bold.
Step-by-step explanation:
It looks like the third term should be -36.
The sequence is geometric.
The common ratio is -54/-81 = -36/-54 = -24/-36 = 2/3 .
The sum of the first 5 terms is
(-81) * (1 - (2/3)^5) / (1 - 2/3)
= -81 * 211/243 * 3
= -211.
Answer:
y = -3x -2
Step-by-step explanation:
parallel lines have same slope
line d: slope (m) = -3
y intercept (b) = -2
equation y = mx + b y = -3x -2
Answer:
Part A - Angle d is 29º
Part B - Angle e is 61º
Part C - Angle f is 95º
Part D - the box represents a 90º angle
Step-by-step explanation:
Angle d is 29º because of the vertical angles theorem
Angle e is 61º because if you take into account that it tells you one of the angles is 90º, you'll add d, which is 29º, to that in order to get 119. Then you'll subtract 119 from 180, as all the angles in a triangle must have a sum of 180º degrees. The result should be 61º
Although it looks rather acute, f should be 95 degrees because it's a supplementary angle with 85º, meaning you subtract 85 from 180
The box in the triangle is just a symbol indicating a 90º angle
Answer:
B
Step-by-step explanation:
