Answer:

Step-by-step explanation:
Q2:
The point-slope form of an equation of a line:

m - slope
The formula of a slope:

We have the points (4, 6) and (6, 10). Substitute:

<em>use distributive property</em>
<em>add 6 to both sides</em>
<em>subteact 2 from both sides</em>

Q4:
The slope-intercept form of an equation of a line:

m - slope
b - y-intercept
Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:

<em>use distributive property</em>
<em>add 6 to both sides</em>

14 can go into 61 only 4 times!
Try this solution:
1. Note, that 9*0.1=0.9; 0.9*0.1=0.09; 0.09*0.1=0.009, etc.
It means, the gives series is geometric sequence, where a₁=9, q=0.1.
2. Using a₁=9 and q=0,1 it is possible to calculate the sum of this sequence:

answer: 10
Step-by-step explanation:
An = -2 * An-1
What this means is that you multiply -2 to the term to get the next term.
Since our 1st term (A1) is -2, we have:
A2 = -2 * A1 = -2 * (-2) = 4,
A3 = -2 * A2 = -2 * (4) = -8,
A4 = -2 * A3 = -2 * (-8) = 16,
A5 = -2 * A4 = -2 * (16) = -32,
A6 = -2 * A5 = -2 * (-32) = 64.
Hence our first 6 terms in the GP are
-2, 4, -8, 16, -32 and 64.
Answer:
The answer is 2/5.
Step-by-step explanation: