All categories

1 year ago

Please solve this for me and show your work

Mathematics

1 answer:

Katyanochek1 [597]1 year ago

4 0

Use your calculator ........................

You might be interested in

Write the equation of a line through points (5,5) and 1,0) in point slope form.

Sloan [31]

<h2>Hello!</h2>

The answer is:

The correct option is the first option,

$y=\frac{5}{4} (x-1)$

To solve this problem, we need to remember that the point-slope form of a line is given by the following equation:

$y-y_{1}=m(x-x_{1})\\\\y-0=\frac{5}{4}(x-1)$

We are given two points of the line,

$(5,5)\\(1,0)$

Where,

$x=5\\x_{1}=1\\y=5\\y_{1}=0\\$

Then, substituting the given points into the equation ,to calculate m (slope), we have:

$m=\frac{y-y_{1}}{x-x_{1}}$

$m=\frac{5-0}{5-1}=\frac{5}{4}$

The slope of the function is $\frac{5}{4}$

Now, substituting "x1" and "y1" and the slope in the point-slope equation, we have:

$(y-0)=\frac{5}{4} (x-1)$

$y=\frac{5}{4} (x-1)$

Hence, the correct option is the first option,

$y=\frac{5}{4} (x-1)$

Have a nice day!

7 0

4 years ago

Read 2 more answers

A ______ is a set of two or more equations that have the same variables

Zepler [3.9K]

Answer:

system of equations

3 0

4 years ago

Read 2 more answers

Help!!!

Lelu [443]

In the order you have it from least to greatest is 1 3 2

4 0

3 years ago

Write a congruence statement for the angles and/or sides that are given. State what additional information is required in order

alexgriva [62]

Step-by-step explanation:

Required information to prove the triangles are congruent:

AB=FE

Then you can say they are congruent by SAS

6 0

3 years ago

Please answer soon I need this answer very quickly for math. Thank you!

Kazeer [188]

a. First five terms: 9,13,17,21,25

b. Sum of first 25 terms = 1425

c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

Further explanation:

Given

Formula of sequence

$a_n=4n+5$

<u>1. First 5 terms:</u>

For first 5 terms, we have to put n=1,2,...5,

So,

$For\ n=1\\a_1=4(1)+5\\=4+5\\=9\\For\ n=2\\a_2=4(2)+5\\=8+5\\=13\\For n=3\\a_3=4(3)+5\\=12+5\\=17\\For\ n=4\\a_4= 4(4)+5\\=16+5\\=21\\For\ n=5\\a_5=4(5)+5\\=20+5\\=25\\First\ 5\ terms\ are: 9,13,17,21,25$

<u>2. Sum of first 25 terms:</u>

For that we have to find 25th term first

$a_{25} = 4(25)+5\\=100+5\\=105$

The formula for sum is:

$S_n=\frac{n}{2}(a_1+a_n)}\\Putting\ the\ values\\S_n=\frac{25}{2}(9+105)\\=12.5(114)\\=1425$

<u>3. Type of sequence</u>

The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

i.e.

$d=4$

Keywords: Arithmetic sequence, Sum of arithmetic sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

4 years ago