Answer:
Step-by-step explanation:6/5
Answer:
The 26th term of an arithmetic sequence is:
Hence, option A is true.
Step-by-step explanation:
Given
An arithmetic sequence has a constant difference 'd' and is defined by
substituting a₁ = -33 and d = 4 in the nth term of the sequence
Thus, the nth term of the sequence is:
now substituting n = 26 in the nth term to determine the 26th term of the sequence
Therefore, the 26th term of an arithmetic sequence is:
Hence, option A is true.
Answer: .0142%
Step-by-step explanation:
Answer:
B. No solutions
Step-by-step explanation:
y= -3x + 9
3y = -9x + 9
Rewrite the first equation below. Then, divide both sides of the second equation by 3 and write it below the first equation.
y = -3x + 9
y = -3x + 3
Now look at the two equations. They are both written in the slope-intercept form, y = mx + b, where m = slope, and b = y-intercept. They have the same slope (m = -3) and different y-intercepts (9 and 3), so they are equations of two different lines, but since the slopes are the same, the lines are parallel. Since the lines never intersect, there is no solution.
Answer: No solutions
Answer:
Step-by-step explanation:
The triangles CED and CGF are similar since two sides are on same line and one side is parallel.
<u>Corresponding sides have equal ratios:</u>
- CG/CE = CF/CD
- CG/CE = (CD - 1.8)/CD
- 6/(6 + 2.4) = (CD - 1.8)/CD
- 6/8.4 = (CD - 1.8)/CD
- 1/1.4 = (CD - 1.8)/CD
- 1*CD = 1.4CD - 1.4*1.8
- 0.4CD = 2.52
- CD = 2.52/0.4
- CD = 6.3
