Answer:
3 22/45
Step-by-step explanation:
Answer:
Step-by-step explanation:
The first step you want to do is get one variable by itself. We are going to start by isolating y by itself.
-3x + 9y = -27
9y = 3x - 27
y = 1/3x - 3
By isolating y by itself, you now have a function written in slope-intercept form. To graph this function, you can draw a point at (0,-3), then use rise/run to go up 1 unit and over 3 units to the next point (3,-2). You can then draw a line based on this information.
Answer:
120
Step-by-step explanation:
As x goes from 1 to 2, y increases by 4 from 4 to 8
As x goes from 2 to 3, y increases by 4 from 8 to 12
We increase by 4 each time
The formula for an arithmetic sequence is
an = a1+d(n-1)
where a1 is the first term which is 4
d is the common difference or the number we add each time which is 4
n is the term we are looking for which is 30
a30 = 4 +4 (30-1)
a30 = 4+4(29)
= 4+116
= 120
Answer:
10.8 cm
Step-by-step explanation:
Using cosine law
g² = 7.1² + 6.7² - 2(7.1)(6.7)cos(103)
g² = 116.7018433
g = 10.80286274
<h3><u>Answer:</u></h3>
<h3>
<u>Solution:</u></h3>
We are given that the arithmetic progression is defined by :
➝ 2n + 1
<em>Therefore, </em>
- <u>For </u><u>first </u><u>term</u>
➙ n = 1
➝ 2 × 1 + 1
➝ 2 + 1
➝ 3
- <u>For </u><u>second </u><u>term</u>
➙ n = 2
➝ 2 × 2 + 1
➝ 4 + 1
➝ 5
- <u>Common </u><u>difference</u>
➙ 2nd term - 1st term
➝ 5 - 3
➝ 2
<h3><u>More </u><u>information</u><u>:</u></h3>
- The difference between the successive term and the preceding term is the difference of an arithmetic progression. It is always same for the same arithmetic progression.
