Answer:
Ques 1 - 
Ques 2 - 
Step-by-step explanation:
Ques 1: From the table, we see the relation,
5 = 2 × 2 + 1
9 = 2 × 4 + 1
13 = 2 × 6 + 1
17 = 2 × 8 + 1
21 = 2 × 10 + 1
That is, the relation from the table is given by,
, where x is the input and y is the output.
Hence, the required equation is
.
Ques 2: From the table, we see that,
2 = 12 × 0 + 2
14 = 12 × 1 + 2
26 = 12 × 2 + 2
38 = 12 × 3 + 2
50= 12 × 4 + 2
That is, the relation from the table is given by,
, where x is the input and y is the output.
Hence, the required equation is
.
Answer:
6(4 + 3t)
Step-by-step explanation:
The greatest common factor of 24 and 18 is 6
Take out 6 from each term
24 + 18t
= 6(4 + 3t)
Answer:
The standard form of the line is 10x + 3y = 10
Step-by-step explanation:
First we need to find the slope of the equation, which we can do using the slope equation and the two points given: (3, 0) and (0, 10)
m(slope) = (y2 - y1)/(x2 - x1)
m = (10 - 0)/(0 -3)
m = 10/-3
Now we can write the equation in slope intercept form since we have the slope and the intercept.
y = mx + b
y = -10/3x + 10
Now we can manipulate the equation to get the standard form.
y = -10/3x + 10
10/3x + y = 10
10x + 3y = 30
Answer: First Option -90° and 630°
Solution:
1) In clockwise the angle is negative, then is -90°
2) Counterclockwise the angle is positive and it could be:
270°
270°+360°=630°
Then, the answer is -90° and 630°