48/60 as a fraction in its simplest form.

Complete the equation of the line through (6,-6) and (8,8). Y =

Damm [24]

Answer:

7x-48

Step-by-step explanation:

we want our equation to look something like this

y=mx+b

let's start by solving for m (the slope) using the slope formula

$\frac{y_2-y_1}{x_2-x_1}\\\\\frac{8-(-6)}{8-6}\\\\\frac{14}{2}=7$

Which means, so far, our equation looks like this

y=7x+b

now we just need to solve for B

We can do this by plugging in a set of coordinates

-6=7*6+b

-6=42+b

-48=b

which means our equation is

7x-48

6 0

3 years ago

Express the terms of the following sequence by giving a recursive formula.

emmasim [6.3K]

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

$a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\$

Step-by-step explanation:

First of all, we have to determine if the given sequence is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

$a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7$

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

$a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7$

Hence,

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

$a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\$

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

6 0

3 years ago

Write thThe bookstore is selling a series of 4 books for $97.50. What is the unit price for one book? Round your answer to the n

Sveta_85 [38]

Answer: $24.47

Step-by-step explanation: I don’t understand the kilometers.

8 0

3 years ago

Tyler’s height is 57 inches. What could be his height in centimeters? Explain your reasoning. (1 inch= 2.54 cm)

Nina [5.8K]

Answer:

144.78 cm

Step-by-step explanation:

57 times 2.54

6 0

3 years ago

Read 2 more answers

An artist used silver wire to make a square that has a perimeter of 40 inches. She then used copper wire to make the largest cir

rjkz [21]

Answer:

The artist used 8.6 inches more of silver wire

Step-by-step explanation:

Perimeter of the square

P = 4*a

P = 4*a = 40 in

a = 10 in

Each side of the square has a length of 10 in

The diameter of the circle is equal to the length of the side of the square

Diameter = 10 in

Perimeter of the circle

P_c = 2*π*radius = π*diameter

P_c = (3.14)*10 in = 31.4 in

Inches of silver wire (square) = 40 in

Inches of copper wire (circle) = 31.4 in

40- 31.4 in = 8.6 in

3 0

3 years ago