ebook
2.3.49
Write an equation in standard form of the line passing through the points (1,5) and (3, 13).

Answers

Answer 1

Answer:

[tex]y - 4x = 1[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (1,5)[/tex]

[tex](x_2,y_2) = (3,13)[/tex]

Required

The equation of the line

Back up:

First, calculate the slope(m)

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{13-5}{3-1}[/tex]

[tex]m = \frac{8}{2}[/tex]

[tex]m = 4[/tex]

Calculate the area using:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y- 5 = 4(x - 1)[/tex]

[tex]y- 5 = 4x - 4[/tex]

Collect Like Terms

[tex]y - 4x = 5 - 4[/tex]

[tex]y - 4x = 1[/tex]


Related Questions

Mai biked 5 1/4 miles today, and Noah biked 2 1/2 miles. How many times the length of Noah’s bike ride was Mai’s bike ride?

Answers

Answer:

The length of Mai's bike ride was 2.1 times the length of Noah's ride.

Step-by-step explanation:

Mai biked 5 1/4 miles today

So he biked, in miles:

[tex]5 + \frac{1}{4} = \frac{5*4 + 1}{4} = \frac{20+1}{4} = \frac{21}{4}[/tex]

Noah biked 2 1/2 miles.

So, in miles, he biked:

[tex]2 + \frac{1}{2} = \frac{2*2 + 1}{2} = \frac{4+1}{2} = \frac{5}{2}[/tex]

How many times the length of Noah’s bike ride was Mai’s bike ride?

We divide the Mai distance by Noah's distance. In a division of fractions, we multiply the numerator by the inverse of the denominator. So

[tex]\frac{\frac{21}{4}}{\frac{5}{2}} = \frac{21}{4} \times {2}{5} = \frac{21*1}{2*5} = \frac{21}{10} = 2.1[/tex]

The length of Mai's bike ride was 2.1 times the length of Noah's ride.

Is this expression equivalent to 1.5?

1.5 / 10

(1.5 divided by 100)

Answers

Answer:

Very False

Step-by-step explanation:

1.5 divided by 100 I can tell you is not equivalent to 1.5

A juice company currently sells juice in gallon-size containers but wants to diversify to provide quart-size containers. If the company produces the number of gallons of juice every quarter given in the table, how many quarts will be produced in the first quarter?

The company will produce quarts of juice in first quarter.

Answers

Answer:

Depends on how many gallojs but 4 quarts per gallon

Step-by-step explanation:

Answer:

it is 24

Step-by-step explanation:

I just know it cuz I did it. hope it helps u :)

expand and simplify {3x+2}{x-1}

Answers

Answer:

{3x+2}{x-1} = 3x²-x-2

Step-by-step explanation:

The given expression is :

{3x+2}{x-1}

We can solve it as follows :

{3x+2}{x-1} = 3x(x)+3x(-1) +2(x) +2(-1)

= 3x²-3x+2x-2

= 3x²-x-2

So, the expand form of the given expression is 3x²-x-2.

5x + 3x = 5x + 6 What value of 3x makes the equation true?

Answers

Answer:

-45 (9x-20) - 3x = 45x-6

-405x+900-3x = 45x-6

-408x+900 = 45x-6 (combine like terms)

906=453x (add 6 to 900 and - 408x to 45x)

2=x (divided )

X=2

Step-by-step explanation: I  hope this helps.

Surface Area of 20,70,90 Will give brainliest to correct answer

Answers

Answer:

19,000 cm

Step-by-step explanation:

Hope this helps

Answer:

19000 square units

Step-by-step explanation:

It is assumed the rectangular prism with dimensions of 20, 70 and 90

Surface are is calculated by the formula:

SA = 2(lw + lh + wh)

Substitute values and find the value:

SA = 2(20*70 + 20*90 + 70*90) = 19000 square units

5/6x+2/3x+4=7

What is x and I REALLY REALLY NEED AN EXPLANATION

Answers

5/6x + 2/3x + 4 = 7

5/6x + 2/3x = 9/6x

9/6x + 4 = 7

9/6x + 4 - 4 = 7 - 4

9/6x = 3

9/6 in decimal form is 1.5 thus

1.5x / 1.5 = 3/1.5

x = 2

the ratio of doors to windows is 1:5 . There are 186 doors and windows in a building . HOw many doors and windows are there?

Answers

Answer:

a. Doors = 31 doors

b. Windows =155 windows

Step-by-step explanation:

Given the following data;

Ratio D:W = 1:5 = 1 + 5 = 6

Total number of doors and windows = 186

Ratio of doors to windows = 1/6

Ratio of windows to doors = 5/6

To find the ratio of the doors;

Doors = 1/6 * 186

Doors = 186/6

Doors =31 doors

To find the ratio of windows;

Windows = 5/6 * 186

Windows = 930/6

Windows =155 windows

what is 20:10 in its simplest

form

Answers

Answer:

2/1

Step-by-step explanation:

20/10 devided by 10 to both numbers

What is the slope of the line that goes through points (2.9) and (5.3)?

Answers

Answer:

0 ZER0

Step-by-step explanation:

There is no slope it would be a straight line across the x axis

Answer:

-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-9)/(5-2)

m=-6/3

simplify

m=-2

Find the output, g, when the input, r, is 4.

g=25−3r

plzzzzzz help me i need to finish

Answers

Answer: g = 13 / Thats the output

Step-by-step explanation:

g = 25 - 3r

Its telling you the r is 4 since its the input.

g = 25 - 3 ( 4 )   see!! just plug in the number

Now Solve

g = 25 - 12

g = 13

Answer:

g = 13

Step-by-step explanation:

since r = 4, you make the equation :

g=25-3(4)

first you multiply 3 and 4 and you get 12

g=25-12

and 25 - 12 is 13 which equals :

g = 13

Which statement about the simplified binomial expansion of (a – b)n, where n is a positive integer, is true?

Answers

Answer:

A on Edge 2021 ;))

Step-by-step explanation:

All terms of the expansion are positive.

The true statement is all terms of the expansion are positive.

What are binomial expansions?

Binomial expansions are expansions of expressions that have two terms

The expression is given as:

[tex](a - b)^n[/tex]

This means that the expression (a - b) is to be multiplied by itself, n times.

Hence, all terms of the expansion are positive.

Read more about binomial expansions at:

https://brainly.com/question/11014243


Please help I will put Brainliest!!!!

Answers

Answer:

Ill tell you the bases and exponents, 2 is the base and 2 is the exponent. 3 is your base and 2 is your exponent. 5 is your base and 3 is your exponent. 10 is your base and 3 is your exponent. 4 is your base and 2 is your exponent. 5 is your base and 2 is your exponent. 6 is your base and 2 is your exponent.

2^2
base: 2
exponent: 2
expanded notation: 2*2
standard notation: 4

3^2
base: 3
exponent: 2
expanded notation: 3*3
standard notation: 9

5^3
base: 5
exponent: 3
expanded notation: 5*5*5
standard notation: 125

10^3
base: 10
exponent: 3
expanded notation: 10*10*10
standard notation: 1000

4^2
base: 4
exponent: 2
expanded notation: 4*4
standard notation: 16

5^2
base: 5
exponent: 2
expanded notation: 5*5
standard notation: 25

6^2
base: 6
exponent: 2
expanded notation: 6*6
standard notation: 36

Answers would be appreciated :)

Answers

Answer:

a) 39cm, b) 7.5cm, c) 40m, d) 35 ft

Step-by-step explanation:

a) 13(3)=39, b) (5x3)/2=7.5, c) (8x10)/2=40, d) (10x7)/2=35

Answer:

a. 39 cm

b. you cant see b that clearly :(

c. 40

d. 34.99 = 35

so sorry if these arent right

Brainiest for the right answers...

Answers

Answer:

9. B 10. C 11. B 12. B

Step-by-step explanation:

determine the slope on the graph

Answers

Answer:

3

Step-by-step explanation:

look at where the points at

The answer is 3 I think

Explain answer !!

( WILL GIVE BRAINLEST)

Answers

After four weeks, they both have the same amount of money. Larissa’s amount of money is constantly decreasing and Chuco’s is constantly increasing. At the four week mark on the graph, their two line intersect, representing that at that point they had the same amount of money.

Answer:

Step-by-step explanation:

Larissa: y = 250 - 25x

Chucho: y = 30 +30x

4 weeks

wright 2/5:1/20 as a unit rate

Answers

Answer:

2 miles per hour

Step-by-step explanation:

Mona needs to photocopy a 14.5 centimeters wide by 15 centimeters long picture. She wants to enlarge the picture so that its length will be
37.5 centimeters. How wide will the enlarged picture be?
O a
38.8 cm
Ob
37 cm
ос
93.75 cm
Od
36.25 cm

Answers

Answer:

The enlarged picture will have a width of 35.8 cm

Step-by-step explanation:

We can solve this question by proportions, using rule of three.

When the length is of 15 centimeters, the width will be of 14.5 centimeters. What is the width when the length is 37 centimeters?

15 cm - 14.5 cm

37 cm - x

Applying cross multiplication

[tex]15x = 14.5*37[/tex]

[tex]x = \frac{14.5*37}{15}[/tex]

[tex]x = 35.8[/tex]

The enlarged picture will have a width of 35.8 cm

Answer:

36.25 cm

Step-by-step explanation:

37.5 divided by 15 is 2.5 then multiply 14.5 by 2.5 and your answer will be 36.25 cm.

I hope this helps the last answer you got was close but incorrect. I really hope I get brainlyiest. :)

Use the Pythagorean Theorem to find the missing side.
Round to the nearest tenth
10 m
7.5 m

Answers

The fourth one 12.5!

It's self-explanatory, hope this helps!

PLEASE HELP —>50 POINTS

What are the linear factors of 2x^4 +13x^3+27x^2+13x-15 if the remainder upon division with x^2 +4x +5 is zero?

Answers

Step by step solution :

STEP

1

:

Equation at the end of step 1

 ((((2•(x4))-(13•(x3)))+33x2)-13x)-15  = 0  

STEP  

2

:

Equation at the end of step

2

:

 ((((2•(x4))-13x3)+33x2)-13x)-15  = 0  

STEP  

3

:

Equation at the end of step

3

:

 (((2x4 -  13x3) +  33x2) -  13x) -  15  = 0  

STEP

4

:

Polynomial Roots Calculator :

4.1    Find roots (zeroes) of :       F(x) = 2x4-13x3+27x2-13x-15

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

The linear factors of the given polynomial are (2x+3)(x+1)(x+2+i)(x+2-i)

What is linear factor?

The linear factors of polynomials are the first-degree equations that act as the building block for the simple or complex higher-order polynomials.

Given that, a polynomial 2x⁴+13³+27x²+13x-15, the remainder upon division with x²+4x +5 is zero,

That means, x²+4x +5 is a factor of the given polynomial,

On diving 2x⁴+13³+27x²+13x-15 by x²+4x +5 we get 2x²+5x+3 as quotient that means,  x²+4x +5 and 2x²+5x+3 are the factors of the polynomial,

On factorizing both the factors we get,

(2x+3)(x+1)(x+2+i)(x+2-i)

Hence, the linear factors of the given polynomial are (2x+3)(x+1)(x+2+i)(x+2-i)

For more references on linear factors, click;

https://brainly.com/question/2510777

#SPJ2

13. Given f(x) = X – 3 and g(x) = 4x, find f(g(x)).
A. 4x - 3
B. 4x - 12
C. 5x - 3
D. 3x - 3

Answers

Step-by-step explanation:

f(g(x))

= f(4x)

= (4x) - 3. (A)

Step-by-step explanation:

option A is the correct answer according to my opinion .

plz mark my answer as brainlist if you find it useful.

Find The square root of -25 that graphs on the positive Y axis , please help

Answers

Answer:

5 and 5 because the squre root of 5 is 25

5 and 5 I think dnenenenenenwn

Sonia saves
3
11 of her monthly income for retirement. If Sonia earned ​$2200 last​ month, how much did she save for​ retirement?

Answers

Answer:

Sonia saved 1889 from her last month's pay

Step-by-step explanation:

Sonia saved $594 for retirement

Question 2 answers (just put this in to hit character limit ;-;)
21


6


9


15

Answers

Answer: I think it is 21  just helping out people sorry if wrong.

Step-by-step explanation:

On the first day of a social media ad campaign, a website had 15 unique visitors. Over the following several days, the website received two times the number of unique visitors as the previous day.

Which equation can be used to determine the number of unique visitors, v, that the website would have on day d of the ad campaign?
Please only reply if you know the answer not just to get points I really need help
A) v= 15x2^d
B) v=2x15^d
C) v=2x15^(d-1)
D) v=15x2^(d-1)

Answers

Answer:

the correct answer is d :)

Step-by-step explanation:

Intercepts from a graph
Determine the intercepts of the line.
y-intercept:
x-intercept:
y
0.4+
0.2
-1.4-1.2
0,2
-0.8 -0.6 -0.4-0.2
-0.21
0.6+
-0.81
1.2

Answers

Answer:

Y-intercept: (0,-0.7)

X-intercept: (-1.2,0)

Explanation:

The Y-intercept is the spot where the line crosses the Y axis (the vertical axis). This always occurs where X=0. For this problem the Y value at this point is -0.7. So, for the coordinates (X,Y) X is 0 and Y is -0.7 so it is (0,-0.7)

The X-intercept is the spot where the line crosses the X axis (the horizontal axis). This always occurs where Y=0. For this problem the X value at this point is -1.2. So, for the coordinates (X,Y) X is -1.2 and Y is 0 so it is (0,-0.7)

please answer :) will give brainlst

Answers

Answer:

Your answer would be B. A metal railing rusting in damp weather because anything that contains any sort of rust whats so ever is always considered a chemical change.

Please hurry; Rajiv bought a rare stamp for $125. A function that models the value of Rajiv’s after t years is v(t) = 125 (1.05)t . What is the value of Rajiv’s stamp after 20 years?

a $131.25
b $331.66
c $2,625.00
d $3316.62

Answers

Answer:

C.

Step-by-step explanation:

The answer is C !!! :)

The triangle below lie on the same line. Find the horizontal distance of the smaller triangle.

Answers

Answer: The answer is 2

Step-by-step explanation: I had the same question and I got the answer right

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