notice the first term is -10, and the common difference is 3, so we add 3 to get the next term.

check the picture below.
Answer:
The right answer is Option 2:

Step-by-step explanation:
Point-slope form of equation of a line is given by:

Here m is slope of the line and (x1,y1) is the point from which the line passes.
Given
Slope = m = -3/4
Point = (x1,y1) = (2,-6)
We simply have to put these value into the general form of equation of line in point-slope form

Hence,
The right answer is Option 2:

Answer:
Number of apartment = 9
Step-by-step explanation:
Given the ANOVA result :
ANOVA ____ df ____ SS
Regression __ 1 ___ 41587.1
Residual ____ 7 ___
Total _______ 8 __ 51984.5
Number of apartment building in sample (n) :
Degree of freedom (df) = n - 1
The degree of freedom = total = 8
Hence,
8 = n - 1
8 + 1 = n - 1 + 1
9 = n
Hence, number of apartment building in sample = 9

Since ∆AFB is similar to ∆ABC.
- < F = < B (corresponding angle)
- < G = < C (corresponding angle)
- < A = common.
<u>In </u><u>∆</u><u>A</u><u>BC,</u>
⇛< A + < B + < C = 180°
⇛37° + 65° + < C = 180°
⇛102° + < C = 180°
⇛< C = 78°
We know that, < AGF / < G = < C
So, Measure of angle < AGF = <u>7</u><u>8</u><u>°</u><u> </u><u>(</u><u>ans)</u>
9514 1404 393
Answer:
y = 4/5x +13/5
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (5 -1)/(3 -(-2)) = 4/5
The y-intercept is given by the formula ...
b = y -mx . . . . for any point (x, y)
b = 1 -(4/5)(-2) = 1 +8/5 = 13/5 . . . . using the first point
So, the equation is ...
y = mx +b
y = 4/5x +13/5
_____
<em>Additional comment</em>
If you have a bunch of these to do, you may want to make a spreadsheet with the formulas built in. Then you can type in the two points and have it spit out the m and b for your equation. Even if you don't use it to <em>do</em> the work, you can use it to <em>check</em> the work.