Find the distance between the x-intercept and the y-intercept of the graph of the equation 5x - 12y = 60.

Answers

Answer 1

Answer:

[tex]d = 13[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

The y-intercept is the y value when x = 0.  Another way to reword that is when the graph crosses the y-axis.

The x-intercept is the x value when y = 0.  Another way to reword that is when the graph crosses the x-axis.

Algebra II

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Equation 5x - 12y = 60

Step 2: Rewrite in slope-intercept form

Isolate y term:                   -12y = 60 - 5xIsolate y:                            y = -5 + 5/12xRewrite:                             y = 5/12x - 5

Step 3: Find x and y intercept

x-intercept

Set y = 0:                    0 = 5/12x - 5Isolate x term:            5 = 5/12xIsolate x:                     12 = xRewrite:                      x = 12

y-intercept

Define:                    y = 5/12x - 5Break:                     y = -5

Step 4: Write coordinates

x-int (12, 0)

y-int (0, -5)

Step 5: Find distance d

Substitute:                    [tex]d = \sqrt{(0-12)^2+(-5-0)^2}[/tex]Subtract:                       [tex]d = \sqrt{(-12)^2+(-5)^2}[/tex]Evaluate:                       [tex]d = \sqrt{144+25}[/tex]Add:                              [tex]d = \sqrt{169}[/tex]Evaluate:                      [tex]d = 13[/tex]

Related Questions

Please help!! Please??

Answers

Answer:

Renaissance Cooling

Step-by-step explanation:

15200/5=30140

Keep change flip so that mean keep the frost part Chan the second and fill the third

Simplify each expression involving signed numbers. -7 – 2 = 12 + (-4) = -8(-6) = StartFraction 18 over negative 3 EndFraction =

Answers

Answer:

–9

8

48

–6

Step-by-step explanation:

it is correct (on edge)✔✔✔

Answer:

-9

8

48

-6

Step-by-step explanation:

hope it helps :]

Minute Math 14 (MM14) 7th Grade Math, Please Help!
I'll give brainliest to anyone who answers all questions.

Answers

So I saw someone only gave one of the answers. Here is mine. (Not sure why there are periods everywhere, so please ignore, none have periods)

Question 3
7, 14,21,28,35,42,49.

Question 4
42
/. \
7. 6.
/\
2. 3

Question 5 .
572, 752, 527, 725

Question 6. D
Question 7. E
Question 8. A
Question 9. B
Question 10. C

Please mark it brainliest!
If you have questions feel free to hit me up :)

Using the appropriate arithmetic principle, the solutions to the problems posed are as follows ;

1.)

[tex] 24 = 3 \times 2^{x} [/tex]

Divide both sides by 3

[tex] \frac{24}{3}= 2^{x} [/tex]

[tex] 8 = 2^{x} [/tex]

[tex] 2^{3} = 2^{x} [/tex]

x = 3

2.)

[tex] \frac{3}{5} = \frac{x}{15}[/tex]

Cross multiply

5x = 15 × 3

5x = 45

x = 9

3.)

Multiples of 7:

7 × 1 = 7

7 × 2 = 14

7 × 3 = 21

7 × 4 = 28

7 × 5 = 35

7 × 6 = 42

7 × 7 = 49

The missing multiples are : 14, 35, 42

4.)

42 = 7 × 6

6 = 2 × 3

Missing values are 7 and 3 respectively

5.)

5, 7 and 2

572, 725, 527, 752

6.)

[tex] a \div 2 = \frac{a}{2}[/tex]

[tex] a \cdot 2 = 2a[/tex]

[tex] a^{2} = a \cdot a [/tex]

[tex] a+a+a = 3a[/tex]

[tex] 0a = 0[/tex]

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The town of Paxton has a population of 4.81 × 104 residents. The town of Oakville has twice the number of residents than Paxton. Which values represent the number of residents for the town of Oakville? Select all the values that apply.

A.9.62 x 10^8
B.4.81 x 10^6
C. 9.62 x 10^4
D. 4.81 x 10^8
E.4,810,000
F 96,200

Answers

Answer:

C. 9.62 times 104

Step-by-step explanation:

Because 4.81 times 2 then multiply by 104

On a coordinate plane, segment A B goes from (1, 1) to (4, 3) and segment A prime B prime goes from (1, negative 1) to (4, negative 3).
Determine the line of reflection that maps the pre-image segment AB to the image segment A’B’.
A: x=0
B: y=0
C: y=x
D: It cannot be determined.

Answers

Answer:

It's B, I did it on edge and got it right

Step-by-step explanation:

Use the numbers shown to complete the table for each value of m. Numbers may be used once, more than once, or not at all.

Answers

Answer:

20 ,24 go on mailboxes closest to the right

Step-by-step explanation:

In which of the number lines does the plotted point represent a number greater than Negative 1 and one-half? Check all that apply.
A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is half-way between negative 2 and negative 1.
A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is half-way between negative 1 and 0.
A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is half-way between negative 3 and negative 2.
A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is at 2.
A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is at 0.
A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is 1 mark to the right of negative 3.

Answers

Answer:

A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is halfway between negative 1 and 0, A number line going from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is at 2, and A number line goes from negative 3 to positive 3 in increments of 1. There are 4 equal spaces between each number. A point is at 0.

Step-by-step explanation:

Because if you draw all of these out you'll find that these are greater than -1.5

A set of values is shown below.
12.7, 22, 23.5, 24, 11, 22
What is the mean absolute deviation of the set of values?
F 0
G 3.96
H 4.9
J 19.2

Answers

The answer is H- 4.9

Answer:

the answer is f0

Step-by-step explanation:

PLEASE SOMEONE HELP MEEEEE
Graph this on a coordinate plane:
f(x)= {x+1 if x≤1
2 if 0≤x≤1
x if x>1

thanks! will mark brainliest if correct

Answers

Answer:

8,5

Step-by-step explanation:

Which of these graphs represents no solution, one solution, and infinitely many solutions? Justify each of your choices.​

Answers

Answer:

a= one soulution

b= no soulution

c= infinate

Step-by-step explanation:

hope this helped! :)

the sum of two factors of 48 is nineteen. the larger factor, x, is one more than five times the smaller factor, y. which system of equations can be used to find the numbers

a. x = 19 - y
x = 5y +1
b. x = 19 + y
y = 5x + 1
c. x = y + 19
y = 5x -1
d. x = y - 19
x = 5y +1

Answers

Hmm b x=19 I think this because it is more than 5 times

The equations that can be used to find the numbers are:

x = 19 - y and x = 5y +1.

Option A is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We know that the sum of two factors of 48 is nineteen, so we can write an equation:

x + y = 19

We also know that the larger factor, x, is one more than five times the smaller factor, y, so we can write another equation:

x = 5y + 1

Now we can substitute the second equation into the first equation to eliminate x and solve for y:

(5y + 1) + y = 19

6y + 1 = 19

6y = 18

y = 3

Now we can substitute y = 3 into the second equation to find x:

x = 5y + 1

x = 5(3) + 1

x = 16

So the two factors of 48 that add up to 19 are 3 and 16.

Now let's check which system of equations can be used to find the numbers.

a.

x = 19 - y

x = 5y +1

Substituting the first equation into the second equation, we get:

19 - y = 5y + 1

18 = 6y

y = 3

Substituting y = 3 into the first equation, we get:

x = 19 - y

x = 16

So this system of equations can be used to find the numbers.

b.

x = 19 + y

y = 5x + 1

Substituting the first equation into the second equation, we get:

y = 5(19 + y) + 1

y = 96 + 5y

4y = 96

y = 24

Substituting y = 24 into the first equation, we get:

x = 19 + y

x = 43

So this system of equations does not give us the correct solution.

c.

x = y + 19

y = 5x -1

Substituting the first equation into the second equation, we get:

y = 5(y + 19) - 1

y = 94

Substituting y = 94 into the first equation, we get:

x = y + 19

x = 113

So this system of equations does not give us the correct solution.

d.

x = y - 19

x = 5y +1

Substituting the first equation into the second equation, we get:

y - 19 = 5y + 1

-4y = 20

y = -5

Substituting y = -5 into the first equation, we get:

x = y - 19

x = -24

So this system of equations does not give us the correct solution.

Therefore,

The equations are x = 19 - y and x = 5y +1.

Learn more about expressions here:

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Ella was out at a restaurant for dinner when the bill came. Her dinner came to $9. After adding in a tip, before tax, she paid $10.44. Find the percent tip.

Answers

Answer:

1.44 is the answer to the question

Answer:

16%

Step-by-step explanation:

So first we find the tip

$10.44 - $9 = $1.44

Express the tip as a percentage of the bill before tip:

$1.44 divide by  $9 =0.16

0.16 *100= 16%

:)

will give brainliest
Part A
Including the SD cards, how many combined bits of storage do Theresa and Ruben have on their phones? Type your answer in scientific notation.

Answers

Answer:

scientific notation ------> 2.56*10^11 bits

(10 to the power of 11 (10^11)

standard notation -----> 256,000,000,000 bits

Step-by-step explanation:

hope this helped

2.56• 10 to the power of 11

4 + (-8) If you switched the problem to -8 + 4 would you still get the same answers? Does it matter what order you add integers?

Answers

Answer:

You would still get the same answer. It does not matter what order you add integers.

Step-by-step explanation:

Commutative Law of Addition meaning you can add them in any order.

Answer:

You would get the same answer

Step-by-step explanation:

In terms of adding integers, it does not matter what order you put them in

The length across the middle of a spider's web is 3.25 cm.

Which pattern shows the lengths of a web 10 times as great, 100 times as great, and 1,000 times as great as 3.25 cm?

A 325 cm; 32.5 cm; .325 cm
B 3.25 cm; .325 cm; 0.325 cm
C 32.5 cm; 325 cm; 3,250 cm
D .0325 cm; 0.325 cm; 32.5 cm

Answers

The answer is D. It lists smallest to largest.
I think C (I’m pretty confident you just have the multiply 3.25 by 10, 100, and 1,000)

A stamp collector has some 15¢ stamps and some 20¢ stamps. The number of 15¢ stamps is eight less
than three times the number of 20¢ stamps. The total value is $4.

Find the number of each type of stamp in the collection.

Answers

Answer:

37

Step-by-step explanation:

at least that's what I think I dont really know lol

Answer: 15c are 16, 20c are 8

Step-by-step explanation:

explain why 0.3 x 0.9 doesn't equal 2.7

Answers

Answer:

equals 0.27

because of the 0

Step-by-step explanation:

When multiplying decimals 0.3 x 0.9, the correct product is 0.27 not 2.7.

Due to the fact that multiplying decimals requires taking into account the place value of each decimal digit, the product of 0.3 times 0.9 does not equal 2.7.

To reach the result in the hundredth place when multiplying 0.3 by 0.9,

and, multiply the tenth place (0.3) by the tenth place (0.9).

So, 0.3 x 0.9 = 0.27

The product is 0.27, not 2.7.

When the entire numbers 3 and 9 are multiplied, gives number 27.

When the decimal places are ignored, gives 2.7.

Thus, the correct product is 0.27, not 2.7.

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When a business buys a fast food franchise, it is buying the recipes used at every restaurant with the same name. For example, all Pizzeria Specialty House Restaurants have different owners, but they must all use the same recipes for their pizza, sauce, bread, etc. You are now working at your local Pizzeria Specialty House Restaurant, and listed below are the amounts of meat used on one meat-lovers pizza.
1/4 cup of sausage 1/3 cup of pepperoni
1/6 cup of bacon 1/ 8 cup of ham
1/ 8 cup of beef
What is the total amount of toppings used on a meat-lovers pizza? _________________________ cup(s)

Answers

Answer:

1 cup

Step-by-step explanation:

1/4= 6/24

1/3= 8/24                    --------

1/6= 4/24                    --------             24/24 = 1

1/8= 3/24                    

1/8= 3/24

Libon’s new car can travel 45 miles on 1 gallon of gasoline.
a. At this rate, how far can the car travel on 7 gallons of gasoline?
b. At this rate, how many gallons of gasoline does it take to drive 1 mile?
c. Write an equation that defines the number of gallons, “g,” of gasoline that the car
would use at this rate if the car traveled “m” miles.

Answers

Answer:

a. 315 miles b. 0.022222... c. g=m45 (not so sure on c)

Step-by-step explanation:

mental math and a calculator, you'll have to look up unit rate and rate videos for a step by step

Hi hello hello hello helllo helllo

Hi can y’all please help look at the pic

Answers

Answer:

2 blues and 6 yellow snap cubes?

Step-by-step explanation:

Can someone help me please...

Answers

Answer:

B. (Graph Z)

Step-by-step explanation:

A nonlinear rate is always expressed as a curve on a graph.

The average price for used DVDs at Moe's Movies is given by the equation y = 4x. In this equation, x represents the number of DVDs purchased and y represents the cost in dollars.

Based on the equation, which of the following is a true statement

A. 40 used DVDs cost $10
B. The cost of 30 used DVDs is $120
C. 30 used DVDs cost $34
D. The cost of 60 used DVDs is $30

Answers

C it cost $34.00 in DVD the Movie?
we are given here the individual costs of DVD and CD as well as the total sales and the number of items sold on one day. To solve the number of DVDs and CDs sold each, we devise two independent linear equations:

(1) x + y = 39
(2) 4x + 7y = 204

x- number of DVDs; y - number of CDs

solving, x= 23 DVDs
y = 16 CDs

Interior and Exterior of Triangles

Answers

Answer:

1. 80°

2. 68°

Step-by-step explanation:

Hope this helps

use the triangle sum therom

Pls mark brainliest

1. 80°
2. 68°

Explaination:
because the sum of all angles of a triangle is always 180° . to find the answer of the missing angle, add the given angle and then subtract by 180. don’t forget to put degree symbol to your answer or it’ll be wrong.

( 3, 11) and (5, 17)

Answers

Answer:

y = 3x + 2 is your slope intercept equation where 3 is the slope and 2 your y intercept

Step-by-step explanation:

3x11= 33 and 5x 17= 85

Please help with this question. (Explain if you can)

Answers

Answer:

it is blurry

Step-by-step explanation:

take another picture

I really need help, i'm also giving brainliest.

Answers

Answer:

Step-by-step explanation:

6       9       12        18

12      18      24     36

for every 6 sulfur you have 12 oxygen. 6:12

In the figure above, segment AB is parallel to segment CD. If segment EF bisects ∠CLY, then what is the measure of ∠MLN?

Select one:
A. 53°
B. 59°
C. 62°
D. 66°

Answers

B.59 because thats what you get with mom measurment

7+9p= is?
Help please

Answers

the answer is 16p!!!
7 + 9 = 16
So the answer is 16p

david packed 16 bags of carrot sticks for the picnic. 7/8 of the bags were eaten. how many bags of carrots were eaten?

Answers

Answer:

14 bags are eaten

Step-by-step explanation:

7/8*2/2= 14/16

I need help with this

Answers

Answer:

10x30x6x30 is 480

Step-by-step explanation:

Answer:

10x30 x 6x30 is 480

Step-by-step explanation:

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