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3 years ago

Determine the equation of the line that has a slope of 8 and has a y-intercept of -9

Mathematics

1 answer:

Xelga [282]3 years ago

6 0

Answer:

starting point is -9

y = 8x + -9

Step-by-step explanation:

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The first term of an arithmetic sequence is equal to four and the common difference is three. find the formula for the value of

hichkok12 [17]

The formula for the value of nth term is $a_{n}$ = 3n + 1

Step-by-step explanation:

The formula of the nth term in the arithmetic sequence is

$a_{n}=a+(n-1)d$ , where

a is the first term of the sequence
d is the common difference between each two consecutive terms

∵ The first term of an arithmetic sequence is equal to four

∴ a = 4

∵ The common difference is equal to three

∴ d = 3

- Substitute these values in the rule of the nth term

∵ $a_{n}=a+(n-1)d$

∴ $a_{n}=4+(n-1)3$

- Simplify it

∴ $a_{n}=4+3n-3$

∴ $a_{n}=1+3n$

The formula for the value of nth term is $a_{n}$ = 3n + 1

Learn more:

You can learn more about the sequence in brainly.com/question/7221312

#LearnwithBrainly

7 0

2 years ago

There are 24 pens in a desk drawer. The pens are either red or blue. The ratio of red pens to blue pens is 5:1. How many pens ar

Flura [38]

Answer:

The number of red pens is 20.

The number of blue pens is 4.

Step-by-step explanation:

We are given that, the ratio of number of red pens to the number of blue pens is 5 : 1.

∴ Let us assume that the number of red pens be 5x and number of blue pens be x.

Total number of pens in the desk drawer = 24

Now, according to question :

Number of red pens + Number of blue pens = 24

⇒5x + x = 24

⇒6x = 24

⇒ $x=\frac{24}{6}=4$

So, number of red pens in the drawer = 5x = 5 × 4 = 20

Number of blue pens in the drawer = x = 4

6 0

3 years ago

Find the median of the following data set. 0.48, 0.66, 1.02, 0.82, 0.7, 0.94

kari74 [83]

Answer:

0.76

Step-by-step explanation:

0.48, 0.66, 1.02, 0.82, 0.7, 0.94

Organize the numbers from least to greatest.

0.48, 0.66, 0.7, 0.82, 0.94, 1.02

Then find the middle (Median is the middle).

0.48, 0.66, 0.7, |?| 0.82, 0.94, 1.02

Take the two numbers closest to the middle. Add them.

0.7 + 0.82

= 1.52

Divide that with 2.

= 0.76

8 0

3 years ago

A single-elimination basketball tournament starts with 64 teams. The teams compete in pairings until there is 1 winner. Which re

notka56 [123]

Answer:

a(n-1)(0.5)

Step-by-step explanation:

3 0

3 years ago

A triangle has sides of length 5, 8, and 10. What is the measure of its largest angle?

masha68 [24]

We'll use the Law of Cosines
We'll call
side a = length 5
side b = length 8
side c = length 10
and their corresponding angles as A, B and C
"C" would be the largest angle
cos (C) = (a^2 + b^2 - c^2) / 2 * a * b
cos (C) = (5^2 + 8^2 - 10^2) / 2 * 5 * 8
cos (C) = 25 + 64 -100 / 80
cos (C) = -11 / 80
cos (C) = -0.1375 
arc cosine ( -0.1375 ) = 97.903 Degrees
The largest angle is 97.903 Degrees

8 0

3 years ago