Identify the point that is not on the line 15x + 60y = 180
a (4,2) c (12, 1)
b (0,3) d (8, 1)

Answers

Answer 1

Answer:

c

Step-by-step explanation:

Substitute the coordinates of the points into the left side of the equation and if equal to the right side then the point lies on the line.

(4, 2 ) → 15(4) + 60(2) = 60 + 120 = 180 ← point on line

(12, 1 ) → 15(12) + 60(1) = 180 + 60 = 240 ← point not on line

(0, 3 ) → 15(0) + 60(3) = 0 + 180 = 180 ← point on line

(8, 1 ) → 15(8) + 60(1) = 120 + 60 = 180 ← point on line

The point (12, 1 ) is not on the line → c


Related Questions

What is slope ? Help me please

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

First, let's pick two points on the line.

    I am going to pick (10, 10) and (40, 20) as they are easier to read.

Slope is rise over run, or in other words, change in y over change in x.

    Let's do the math:

[tex]\frac{change.in.y}{change.in.x} =\frac{20-10}{40-10} =\frac{10}{30} =\frac{1}{3}[/tex]

    So, the slope is [tex]\frac{1}{3}[/tex] which we can also check by looking at the graph, find a point then move up and over three!

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Slope is the m in y=Mx+b

Solve for the unknown angle

Answers

Answer:

would you mind uploading a pic? I would be glad to help you with this problem!!!!!!!! <3

Step-by-step explanation:

simplify the ratio 4 : 0.5​

Answers

Answer:

8:1

Step-by-step explanation:


helpppp me pleaseee

Answers

Answer:

C

Step-by-step explanation:

Yellow is the answer I think

A right triangle has legs that are 10. 1 inches and 12. 2 inches long. What is the approximate length of the hypotenuse? 6. 8 inches 15. 8 inches 22. 3 inches 125. 5 inches.

Answers

Answer:

A^2 + B^2 = C^2        for a right triangle

C^2 = (10.1^2 + 12.2^2)^1/2 = 250.85^1/2 = 15.8 in

Solve the system by substitution. x=-y-9 6x-5y=1

Answers

Answer:

x= -64, y= 55

Step-by-step explanation:

x=-y-9

6(y-9)-5y=1

6y-54-5y=1

y=55

x=-55-9

x=-64

Answer:

{x=-4

{x= -5

Step-by-step explanation:

Substitute into one of the equations:6(- y -9) - 5y=1

Apply Multiplicative Distribution Law:- 6y-54-5y=1

Rearrange unknown terms to the left side of the equation:-6y -5y = 1+54

Combine like terms:- 11y= 1+54

Calculate the sum or difference:-11y=55

Divide both sides of the equation by the coefficient of variable:y= 55÷(-11)

Remove the parentheses:y = -55÷11

Calculate the product or quotient:y=-5

Substitute into one of the equations:x=-(-5)-9

Remove the parentheses:x=5-9

Calculate the sum or difference:x=-4

The solution of the system is:{x=-4

{x=-5.

State if the triangles are similar. If so, how do you know they are similar and complete the similarity
statement
STU ~

Answers

Answer:

  b.  not similar

Step-by-step explanation:

Side SC of the smaller triangle is ...

  96 -57 = 39

So, the side lengths of the small triangle, shortest to longest, are ...

  39, 40, 44

Side ST of the larger triangle is ...

 44 +64 = 108

So, the side lengths of the large triangle, shortest to longest, are ...

  96, 96, 108

These lengths do not have the same ratios as the lengths of the sides in the smaller triangle, so the triangles are not similar.

_____

Additional comment

The larger triangle is isosceles. The smaller triangle is not.

Pleaseeee help please

Answers

Answer:

109 degrees

Step-by-step explanation:

Since AB is a straight line, we know the line is 180 degrees in total. So, with this information, subtract 180 with 29 and 42.

I think it might be 109°. AB is a straight line so it would have a degrees of 180, so I think all you have to do is add the two other degrees (42+29) which would give you 71, and then subtract 71 from 180.

Hopefully this answer is right but sorry if it isn't.

The length of a cell phone is 1.4 inches and the width is 4.6 inches. The company making the cell phone wants to make a new version whose length will be 1.68 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?

Answers

Answer:

5.52

Step-by-step explanation:

1.68/1.4=1.2*4.6=5.52

How do you solve the following equation: n+2*0.5n+1

Answers

Answer:

[tex]n=-\frac{1}{2}[/tex]

Step-by-step explanation:

The order of operators is the next:

ParenthesisExponentsMultiplication and divisionAddition Subtraction

So the first step is multiply and later add up the rest terms ([tex]0.5 = \frac{1}{2}[/tex]).

[tex]n+\frac{2}{2}n + 1 = 0\\n + n + 1 = 0\\2n = -1\\n = -\frac{1}{2}[/tex]

answer: n = -1/2
multiply first, add n terms
(2n + 1 = 0)
2n = -1
n = -1/2

4. Given the following equation, find the following: 3x – 2y = 12
A. x-intercept

B. y-intercept

C. Slope

Answers

Answer:

[tex] \sqrt[6]{729} [/tex]

Use the simple interest formula 1=prt find the amount that needs to be invested at 7%per year for 12 years in order to earn 2500$in interest

Answers

the answer is 1358.70

what is rt5 x rt3
yeah do that plz

Answers

Answer:

3(2r+1)

Step-by-step explanation:

5r+1 is 6

Then you factor out 3 and get 3(2r+1)

Please help i attached a link below to the graph

Write the linear inequality shown in the graph. The gray area represents the shaded region.

y ≥ –x – 4
y ≥ –x + 4
y ≤ –x – 4
y ≤ –x + 4

Answers

Answer: y ≤ -y+4

Step-by-step explanation:

The line in the graph:

Taking two points, we can calculate the slope of the line.  I'll pick (0,4) and (4,0)

Rise/Run (slope):  Rise (0-4) = -4, Run = (4-0) = 4.  Slope is -4/4 or -1.

The y-intercept is 4 (the value of y when x is zero).

The equation for the line is y = -x + 4.  The shades area includes all points on and under this line, so y ≤ -y+4.

Find the area of the triangle.
8 in.
12 in.
in
?
The area of the triangle is

Answers

Answer:

48 in²

Step-by-step explanation:

Hello!

Area of a Triangle: [tex]A = \frac12 b*h[/tex]

Given that the base and height are 8 and 12, we can plug it into the formula to solve for the area.

Find the area[tex]A = \frac12 b*h[/tex][tex]A = \frac12 (8*12)[/tex][tex]A = \frac12 (96)[/tex][tex]A = 48[/tex]

The area of the triangle is 48 in².

[tex]\huge\text{Hey there!}[/tex]


[tex]\huge\textbf{Formula for finding area of triangle:}[/tex]

[tex]\mathsf{\dfrac{1}{2}\times \bold{b}ase\times \bold{h}eight}[/tex]


[tex]\huge\textbf{Your equation should look like:}[/tex]
[tex]\mathsf{\dfrac{1}{2}\times 8 \times 12}[/tex]


[tex]\huge\textbf{Making it easier to solve:}[/tex]

[tex]\mathsf{\dfrac{1}{2}\times 8 \times 12}[/tex]

[tex]\mathsf{= \dfrac{1}{2}\times \dfrac{8}{1} \times \dfrac{12}{1}}[/tex]

[tex]\mathsf{= \dfrac{1\times8\times 12}{2\times1\times1}}[/tex]

[tex]\mathsf{= \dfrac{8\times 12}{2\times1}}[/tex]

[tex]\mathsf{= \dfrac{96}{2}}[/tex]

[tex]\mathsf{= \dfrac{96\div 2}{2\div 2}}[/tex]

[tex]\mathsf{= \dfrac{48}{1}}[/tex]

[tex]\mathsf{= 48\div1}[/tex]

[tex]\mathsf{= 48}[/tex]


[tex]\huge\textbf{Therefore, your \boxed{answer} should be:}[/tex]

[tex]\huge\boxed{\frak{48\ in^2}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

6x=42


A: 7
B: 6
C: -7
D: 2


Help

Answers

A.7
Because 6x7=42
So the x is replaced by the 7

What is the
leasure of Z?
x
У
4.
9
Z=
=
= [?]V
Give your answer in simplest form.

Answers

Answer:

  z = 3√13

Step-by-step explanation:

The length of z is the geometric mean of the segments of the longest side that share a common point with z. The shorter of those is 9; the longer one is 4+9 = 13. Then ...

  z = √(9(13))

  z = 3√13

__

Additional comment

In like fashion, ...

x = √(4(13)) = 2√13y = √(4·9) = 6.

__

These relations come about because all of these right triangles are similar. That means their side lengths are proportional.

  long side/hypotenuse = z/13 = 9/z   ⇒   z = √(9·13)

  short side/hypotenuse = x/13 = 4/x   ⇒   x = √(4·13)

  short side/long side = 4/y = y/9   ⇒   y = √(4·9)

Please man, I need this answer as fast as possible. Thank You!!!!

Answers

Answer:

-5f

and

2g

Step-by-step explanation:

Solve pls brainliest

Answers

Answer:

Hi, the answer should be 8.1 dollars

$2.70

I multiplied 90x.03

.03 is 3% is decimal form

Hope this helps

You bought for hamburgers you gave the cashier $50 bill and get $22 change how much was each hamburger

!!!!!!!!5 step plan please!!!!!!!!

Answers

If you have the cashier 50 and got 22 back, each burger would be 7
$50-$22= $28
$28/4hamburgers=$7

Olivia works at a travel agency. She earns 7% commission her sales of airline tickets. How much does she earn when she sells 4 airline tickets, each costing $359.50

Answers

Answer:

$100.66

Step-by-step explanation:

First you have to figure out how much she is making from all four tickets, so 4 x 359.50 is $1,438

She makes 7% commission. In decimal form, that is .07. In order to find what she made, multiply .07 by $1,438.

Olivia makes $100.66

what is 3x-4y= -24 answer

Answers

Answer:

The answer will be ( [tex]x=\frac{-24+4y}{3}[/tex] )

a) Solve the system by substitution.
y = 5x – 3
-X – 5y = -11

Answers

Answer:

Step-by-step explanation:

the answer 4x-5y +2 = 0. 5y =-4x-2. y = -4x/5 -2/5 slope = -4/5

Answer:

{y,x} = {2,1}

Step-by-step explanation:

// Solve equation [1] for the variable  y  

 

 [1]    y = 5x - 3

// Plug this in for variable  y  in equation [2]

  [2]    -5•(5x-3) - x = -11

  [2]     - 26x = -26

// Solve equation [2] for the variable  x  

  [2]    26x = 26  

  [2]    x = 1  

// By now we know this much :

   y = 5x-3

   x = 1

// Use the  x  value to solve for  y  

   y = 5(1)-3 = 2

Farmer Bob is planting a garden this spring. He wants to plant squash, pumpkins, corn, beans, and
potatoes. His plan for the field layout in feet is shown in the figure below. Use the figure and your
knowledge of polynomials, perimeter and area to solve the following questions.


1. Write a polynomial expression that represents the area of the potato field.
2. Simplify a polynomial expression that represents the area of the potato field.
3. Explain why the calculated area would be useful to Farmer Bob.

Answers

The simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72

From the diagram shown, we can see that the area of the potato field can be represented as a scaled factor of the area of the farm because they are both rectangular in nature.

Area of the potato field = length * width

Length = x^2 + 7x + 12

Width = x + 6

Substitute into the formula to get the required polynomial

Area of the potato field = (x^2 + 7x + 12)(x+6)

Area of the potato field = x^3+6x^2+7x^2+42x+12x+72

Area of the potato field = x^3 + 13x^2 + 54x + 72

Hence the simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72

Learn more on polynomial expression here: https://brainly.com/question/21534285

A line goes through the points (5, -1) and (7, -5). What is a possible equation to a new line that is perpendicular?

Answers

Ok, so you are given an equation in standard form, 5x+4y=2, and a point, (7, 5). You are being asked to write the equation for a line that is parallel to the equation in standard from, and that includes the point (7, 5).  

First, let's start by finding the slope of your new line. We know that it needs to have the same slope as 5x+4y=2, because parallel lines have the same slopes. To do that, we need to put the equation into slope-intercept form (y=mx+b), which means we need to isolate the "y."  

 5x+4y=2

-5x     -5x  (subtract 5x from both sides to move it to the right side of your equation)

4y = 2 - 5x

/4  /4  /4 (divide all the terms by 4 to get "y" by itself)

y = (1/2) - (5/4)x  ... I suggest leaving your slope as a fraction.

Now, we know that our slope, m , is going to be -(5/4).  

Next, we are going to use our slope, -(5/4), and point, (7, 5), to find the b-value (y-intercept) of your new line. Let's plug in what we know:

y = 5

m = -(5/4)

x = 7

y=mx+b

5=(-5/4)(7) + b  -> I plugged in what we knew for y, m, and x.  

5 = -(35/4) + b  -> I multiplied the numbers in the numerator (5 x 7) to get 35/4

20/4 = -(35/4) + b -> I converted 5 into a faction with a denominator of 4 by multiplying by (4/4)

+(35/4) +(35/4)  -> I add (35/4) to both sides to isolate b

55/4 = b ... or b = 13.74

Answer:  

m = -(5/4)

b = 13.75

The equation perpendicular to the line going through the points (5, -1) and (7, -5) is [tex]y=\frac{1}{2} x-\frac{7}{2}[/tex]

The line passes through the points (5, -1) and (7, -5)

That is [tex]x_1=5, y_1=-1, x_2=7, y_2=-5[/tex]

Calculate the slope(m) using the formula below:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-5-(-1)}{7-5} \\\\m=\frac{-4}{2}\\\\m=-2[/tex]

The equation of the new line perpendicular to the line above will be given as:

[tex]y-y_1=\frac{-1}{m} (x-x_1)\\\\y-(-1)=\frac{-1}{-2} (x-5)\\\\y+1=\frac{1}{2}(x-5)\\\\y=\frac{1}{2} x-\frac{5}{2} -1\\\\y=\frac{1}{2} x-\frac{7}{2}[/tex]

The equation perpendicular to the line going through the points (5, -1) and (7, -5) is [tex]y=\frac{1}{2} x-\frac{7}{2}[/tex]

Learn more here: https://brainly.com/question/17684243

A packet of Hobnobs claims to be 24% bigger!!
It now contains 31 biscuits. How many did it have before?

Answers

Answer:

25

Step-by-step explanation:

124% = 31

1% = 0.25

100% = 25 biscuits

...YUMMY!

Answer:

24

Step-by-step explanation:

7.802 divided by 2.1

Answers

Answer:

3.715

Step-by-step explanation:

7.802/2.1 = 3.715

7.802 divided by 2.1
=
3.71

Find the 66th term of the arithmetic sequence 3, 13, 23, ...3,13,23,...

Answers

Answer:

[tex]a_{66}[/tex] = 653

Explanation:

General formula: [tex]a_{n}[/tex] = ([tex]a_{1}[/tex] + ((term) - 1) · (common difference)

[tex]a_{66}[/tex] = 3 + (66 - 1) · (10)

[tex]a_{66}[/tex] = 653

it costs $20 per day to board a dog and $16 per day to board a cat. The kennel needs to make at least $800 per day to cover expenses, but can hold no more than 80 total animals. Write a systems of inequalities, graph , and give two possible solutions to the number of dogs and cats they can board each day

Answers

Answer:

Step-by-step explanation:

the anwer  is r=dog y=cat  20r+16y>800-->y>-5/4 r+50 20r-16y<r+80 40 dogs+20 cats 15+55 cats  

If a number is multiplied by 2/5, the product is (great than, less than, or equal to,) the number

Answers

Answer:

less than

Step-by-step explanation:

it's a fraction, so it will be a fraction of the original number.

Other Questions
Nights and DragonsFrom the memoir of author Abigail Prynne1I sit at my desk listening to thunder growl outside my window. Flashes of light burst through the darkness, and wind races past my window. The thrilling combination of sight and sound conjures up visions of dragons roaring proudly, breathing fire, and soaring across the midnight sky. Dragons first fascinated me when I was a little girl. They have followed me ever since. The magnificent creatures appeared in storybooks I read in the library, paintings I saw in museums, movies I watched in the theater, and the dreams I had in my sleep. By the time I was thirteen, one question consumed me. I wanted to know if dragons ever existed, so I set out on a quest for facts.2As I started my research, I discovered many skeptics. Scientists presented evidence to show why dragons could notand did notexist. They explained that it would be impossible for dragons to fly because they would be too big. They laughed at the idea of dragons breathing fire. They pointed out that no other animal has ever done this. They said that if dragons had lived, someone would have found remains somewhere in the world. No bones about it, there were plenty of logical explanations. It would have been easy for me to accept that the only place dragons ever existed was in the imaginations of those who believed.3I could have given up, but I thought about my grandmother. She always told me that "people who believe that science is the answer to everything are missing out on everything else." With her words in mind, I searched some more. There were many facts that hinted that dragons may not be fictional. I noticed that cultures across the world all described dragons in similar ways. This was odd because they had no way to communicate with each other. I found dragons mentioned in more than just stories. They appeared in old legal papers, in the travel logs of Marco Polo, and in the Bible. I saw that the Chinese calendar uses a different animal each year. Dragons are included along with eleven real animals. I began to believe it was a real possibility that all of these people were talking about a creature that actually existed.4With renewed hope that there was some truth to the legends, I looked for new research. I found that some experts disagreed with popular arguments against dragons. They suggested that a dragon could have four stomachs like a cow. If it created stomach gases like birds, it might create enough to lift itself off the ground. This would give it the ability to fly. If it forced out air when diving toward the earth, it might release gases which could ignite into flame. When the animal died, the stomachs would release strong acids that would dissolve its dead body over time. Biologists backed up these ideas with sketches and models based on known animals. Not everyone agreed with these ideas, but many of the things we accept about dinosaurs and other extinct species started the same way.5I doubt we will ever truly know whether dragons existed. There may always be two sides to the fiery debate. Some will say the stories come from active imaginations. Some will believe with all their hearts that the legendary creatures roamed our ancient world. I don't know for certain which side to believe, but the sound and fury of a night like this makes me smile. It rekindles my childhood dreams and keeps the exciting possibility alive.Which best states the main idea of the text? (5 points)I have found no proof that dragons ever existed.I have found some proof that dragons may have existed.I have always wondered if dragons existed, and I hope they did.I have not been able to decide if dragons ever existed or not. 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