3 years ago

What is the reason for Statement 4 of the two-column proof?

Mathematics

1 answer:

patriot [66]3 years ago

4 0

Answer:

Step-by-step explanation:

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23. Critical Thinking Lucia knows the fourth term in a sequence is 55 and the ninth term in the same sequence is 90. Explain how

Anarel [89]

Let's call <em>a</em> the first term and <em>d</em> the common difference.

$a_n = a+(n-1)d$

The fourth term is 55:

$a_4 = 55 = a + 3d$

The ninth term is 90

$a_9 = 90 = a + 8d$

Subtracting,

$90 - 55 = 8d - 3d$

$35 = 5d$

$d = 7$

Answer: common difference of 7

We found the common difference. Substituting,

$a = 55 - 3d = 55 - 21 = 34$

Second term

$a_2 = a + d = 34 + 7 = 41$

Answer: second term of 41

4 0

4 years ago

Use the equation below to answer the following questions.

Masteriza [31]

the answer is

2d=64

d=32

8 0

3 years ago

15 : The world population in 2010 was approximately 6.92 billion.

Viefleur [7K]

A number that can be written

7 0

3 years ago

Given that

Mekhanik [1.2K]

Step-by-step explanation:

R = 3x + 9y

When y = 6 and R = 7

7 = 3x + 9.6

7 = 3x + 54

7 - 54 = 3x

-47 = 3x

x = -47/3

8 0

2 years ago

Derive the equation of the line that goes through (−3, 1) and (0, −5).

Oksanka [162]

Answer:

C) y = -2x - 5

Step-by-step explanation:

$\sf let \ (x_1,y_1)=(-3,1)\\\\let \ (x_2,y_2)=(0,-5)$

$\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-1}{0-(-3)}=-2$

Point-slope formula: $\sf y-y_1=m(x-x_1)$

$\sf \implies y-1=-2(x-(-3))$

$\sf \implies y=-2x-5$

5 0

2 years ago

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