Answer:
the constant of proportionality is 3. thank me later : )
Step-by-step explanation:
Answer:
tn = 7 + (n - 1)*(-2) or
tn = 9 - 2n
Step-by-step explanation:
You are (beginning with 7) subtracting 2 from the term to the left.
a = 7
d = -2
tn = a1 + (n - 1)*d
tn = 7 + (n - 1)*(-2)
Try this out on n = 4
t4 = 7 + (4 - 1)*-2
t4 = 7 + (3) (-2)
t4 = 7 - 6
t4 = 1 just as it says.
More generally
tn = 7 + (n - 1)*-2
tn = 7 + (-2n) + 2
tn = 9 - 2n
Answer:
Linear
I think the visual can be described as linear
Answer:
C
Step-by-step explanation:
Given
2x² + x - 1 = 2 ( subtract 2 from both sides )
2x² + x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 3 = - 6 and sum = + 1
The factors are - 2 and + 3
Use these factors to split the x- term
2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x + 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = -
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