Find the equation of the line that has the given x-intercept and y-intercept. Write the answer in standard form.​

Find The Equation Of The Line That Has The Given X-intercept And Y-intercept. Write The Answer In Standard

Answers

Answer 1

Answer:

x - 4y = -4

Step-by-step explanation:

Standard form of a line: Ax + By = C

Equation of line in x-intercept and y-intercept form:

         [tex]\sf \boxed{\dfrac{x}{a}+\dfrac{y}{b}=1}[/tex]

Here a is x-intercept and b is y-intercept.

           a = -4 & b = 1

[tex]\sf \dfrac{x}{-4}+\dfrac{y}{1}=1\\\\\text{Mutiply the entire equation by (-4)},\\\\(-4)*\dfrac{x}{-4} + (-4)*\dfrac{y}{1}=1*(-4)\\\\\\x - 4y = -4[/tex]

Equation of line in standard form:

        x - 4y = -4


Related Questions

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Answers

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
What the person above me said is correct

Choose the correct trig ratio you would use to solve for the missing piece of the right triangle:

Answers

It would be sin since u are solve for the adjacent side

How do you find area?

Answers

Answer:

You do length time width

Finding area will depend on what shape you need the area for. For a specific shape like a rectangle you would use length x width. For something like a triangle you would take half the base times the height. Or if you are finding the area under a curve you may use an approximation method like Riemann sums, or use an integral. It really depends on what you need the area for. If you were more specific with your question, I could try an help you better. Any questions just comment :)

Lisa sold 81 magazine subscriptions, which is 27% of her class's fundraising goal. How many magazine subscriptions does her class hope to sell?

Answers

Since 81 will be 27 percent of the total number of magazines you will find "81 is 27 percent of what number?"

81 is 27 percent of 300.

Therefore, her class hoped to sell 300 magazines in total!

What is the use of if __ name __ == '__ main __' in Python?

Answers

The use of if__name__ == '__main__' in python is to check whether the current script is being run on its own or being imported somewhere else by combining it with if statement.

Here we need to find the use of if __ name __ == '__ main __' in Python.

Basically, in python the term Allows You to Execute Code When the File Runs as a Script, but Not When It’s Imported as a Module

Here for most practical purposes, this is known as the conditional block that you open with if __name__ == "__main__" as a way to store code that should only run when your file is executed as a script.

Therefore, the function is used as  a variable defined for each script that defines whether the script is being run as the main module or it is being run as an imported module.

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Choose two statements that are true for this expression.


6x3 -8x^2- 40/y+21

Answers

Observing the given equation, The answer is The degree of polynomial is 3 and the equation has variables 'x' and 'y'.

What do you mean by equation?

An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two expressions separated by an equals sign (=), for example, 2 + 2 = 4. Equations can be used to express relationships between different quantities and can be used to solve problems in many areas of mathematics and science. Equations can also be represented graphically, and they can be manipulated or transformed to make solving them easier.

What is degree of polynomials?

A polynomial is a mathematical expression that is made up of a sum of powers in one or more variables. The degree of a polynomial is the highest power of the variable(s) present in the polynomial. For example, in the polynomial expression 3x^2 + 2x - 5, the highest power of x is 2, so the degree of the polynomial is 2. A degree 0 polynomial is a constant polynomial, which is just a number. The degree 1 polynomial is a linear equation, and degree 2 polynomial is a quadratic equation. In general, the degree of a polynomial can give an idea about the behavior of the polynomial function. As the degree of a polynomial increase, the shape of the function become more complex.

[tex]6x^3 - 8x^2 -\frac {40}{y} +21[/tex]

The degree of polynomial is 3.

The equation has variable 'x' and 'y' .

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9. Which equation is represented by the table?
X
0
1
2.
3
у
40
20
10
5
a. 40(2)
b. 40(3)
I

Answers

Answer:

#2.

Step-by-step explanation:

Y=1/3(x-6)^2 standard form

Answers

Answer:

Step-by-step explanation:

Answer: Y = 1/3x^2 - 4x + 12

Step-by-step explanation:

Hope this helps, sorry I don't have an explanation...

1.) What is the length of x?
2.) What is the area of the right triangle inside of the parallelogram?

Answers

Answer:

The area of x is 4

The area of the right triangle is 6

Step-by-step explanation:

The Pythagorean Theorem can be used when dealing with right triangles. So, if we use the equation a^2 + b^2 = c^2, we can find that 3^2 + x^2 = 5^2 or 9 + x^2 = 25. If we calculate, we can find that x is equal to 4. Now if we multiply by 3 and divide by 2, we can get the answer of 6 as the area of the right triangle.

he owners of a recreation area filled a small pond with water in 180 minutes. The pond already had some water at the beginning. The graph shows the amount of water (in liters) in the pond versus time (in minutes). Find the domain and the range of the function shown. Amount of water (liters) y1503004506007509001050120013501500x204060801001201401601800 Time (minutes)

Answers

The domain and range of the the function are -

Domain → [0, 180]

Range → [600, 1050]

What is the domain and range of function?

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.

Given is that the owners of a recreation area filled a small pond with water in 180 minutes. The pond already had some water at the beginning. The graph {attached below} shows the amount of water (in liters) in the pond versus time (in minutes).

Domain is the set of all possible {x} values. We can write -

Domain → [0, 180]

Range is the set of all possible {y} values. We can write -

Range → [600, 1050]

Therefore, the domain and range of the the function are -

Domain → [0, 180]

Range → [600, 1050]

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Please helpppppp
No links or I will report ❤️

Answers

r = 4.8
d = 9.6
C = 30.1592895
A = 72.3822947
that’s for number one i’ll do the rest in a second and round last two to 30 and 72

Brigid has a 25-foot ladder she will use to paint the side of her house. What angle does the ladder need to make with house so she can reach 18 feet up the side of her house

Answers

The ladder needs to make an angle of approximately 54.7 degrees with the house in order for Brigid to reach 18 feet up the side of the house.

To determine the angle the ladder needs to make with the house, we can use the tangent function.

First, we'll need to determine the opposite side (the height that the ladder needs to reach) and the adjacent side (the distance from the base of the ladder to the house) of the triangle formed by the ladder and the house.

Opposite side = 18 feet

Adjacent side = 25 feet

We can then use the tangent function to find the angle:

tan(angle) = opposite / adjacent

Solving for the angle, we get:

angle = arctan(18/25) = approximately 54.7 degrees

Therefore, the ladder needs to make an angle of approximately 54.7 degrees with the house in order for Brigid to reach 18 feet up the side of the house.

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Find the value of each expression.
a. 1/4 • (-12)
b. -1/3 • 39
c. (-4/5) • (-75)
d. -2/5 • (-3/4)
e. 8/3• -42

Answers

By using simple arithmetic and using calculator we get:

a. 1/4 • (-12) = (-3)

b. -1/3 • 39 = -13

c. (-4/5) • (-75) = 60

d. -2/5 • (-3/4) = 3/10 = 0.3

e. 8/3• -42 = -56

What is arithmetic?

Arithmetic is a branch of mathematics that deals with the manipulation of numbers and their properties. It is the study of numbers and the operations that can be performed on them, such as addition, subtraction, multiplication, and division. Arithmetic also includes concepts such as fractions, decimals, and percentages. The study of arithmetic is fundamental to many other branches of mathematics, including algebra, geometry, and calculus, as well as many practical fields like finance, engineering, and computer science.

What is calculator?

A calculator is a device that performs mathematical calculations. It can be a handheld device or a software program on a computer or mobile device. Calculators typically have buttons or keys for performing basic arithmetic operations, such as addition, subtraction, multiplication, and division, as well as more advanced functions like trigonometry and logarithms. Some calculators also have the ability to store and recall numbers, perform conversions between units of measurement, and perform other specialized functions.

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The radius of a circle is 10 inches. What is the area of a sector bounded by a
180° arc?
r=10 in
180°
Give the exact answer in simplest form.
square inches

Answers

The answer is 180/100

Answer:

25/2pi

Step-by-step explanation:

stg that is right

Dae-Hyun drew a picture of a cruise ship that he saw docked at Port Canaveral. He used the scale shown below.
1/4 inch : 32 feet

His picture is 9.25 inches long.
What is the length of the actual cruise ship?
296 feet
592 feet
888 feet
1,184 feet

Answers

Answer: 592

Step-by-step explanation:

I did the test and i got it right :)

Answer:

592

Step-by-step explanation:

click the crown by my name

b. How should Kiran change the quantities that he used
so that his smoothie tastes
just like Clare's?

Answers

Answer:

Kiran's smoothie would be more chocolatey than Clare's. All ingredients are doubled, but there is an extra teaspoon of chocolate syrup in his smoothie.

Step-by-step explanation:

(aryan)

What are the medians and modes??

Answers

Answer:

The median is 17 and the mode is 19

Step-by-step explanation:

help!
C + -328 = 477

Answers

the answer for c would be 805

the answer is

c = -119

2÷ 12/5=
help please

Answers

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex]2 \div \frac{12}{5} \\ = 2 \times \frac{5}{12} \\ = \frac{10}{12} \\ = \frac{5}{6} \\ = 0.83[/tex]

Answer: 5/6

Step-by-step explanation: Another way of writing this problem is 2/1 ÷ 12/5. To solve this division problem, you must multiply the recipricol of the divisor. The recipricol of 12/5 is 5/12, so the new expression will look like this: 2/1 x 5/12. You can solve this by multiplying the numorators and then multiplying the denonimators to get 10/12. The simplified version of 10/12 can be expressed as 5/6.

The probability of drawing a Jack, a Queen or a heart is _

Answers

Pretty sure the answer is: 3/13 or 23.1%

What is 2x+2y if x+2y=6 and x+y=10

Answers

X=-2y+6
-2y+6+y=10
-y+6=10
-y=4
y=-4
X=14

2(14) + 2(-4)=28- -8=28+8=36

Answer is 36 I think

simplify : 6/7 of 5/9 ÷ 10/21​

Answers

Answer:

Step-by-step explanation:

Don’t know

i got 1.49 or 3/2 *\(^o^)/*

Jules is using a spinner in a game. She needs the spinner to land on a 3 to win. What is the probability that she will NOT land on a 3 and NOT win?
A.1/4
B.1/3
C.1/2
D.3/4

Answers

The answer is B.1/3 hope this helps

Answer:

since a fidget spinner has three sides it should have a 1/3 chance

Step-by-step explanation: im not sure tho

can someone answer this question really quick

Simplify the expression by combining like terms.

43a−12b+13a+52b
Enter your answer as an expression, like this: 42x+53

Answers

Answer:

56a+40b

Step-by-step explanation:

43a plus 13a is 56a, -12b + 52b is 40b, together it's 56a+40b

Match each function with its graph.

Answers

Answer:

66) C

67) D

68) A

69) B

Step-by-step explanation:

figure x out first for example in q 66

x=-1 , x =5

then look at the graph which graph pf those meets with those points and soo on.

Where am I to put the points? help?

Answers

we know that a has to be a number less than 0 and c has to be a number greater than 0. so a has to go before the number 0 and b can go before or after 0, as long as it satisfies the equation

Mrs. Sanders has three grandchildren, who call her regularly. One calls her every three days, one calls her every four days, and one calls her every five days. All three called her on December 31, 2016. On how many days during the next year did she not receive a phone call from any of her grandchildren

Answers

By probability, she will not receive a phone call from any of her grandchildren after 146 days

How does probability affect our lives?

In those circumstances, probability helps in assessing the likelihood of an event. Probability plays a significant role in daily life. political strategy analysis, blood type determination, sports and gaming strategies, insurance buying or selling, online shopping, and online gaming.

There is a [tex]\frac{2}{3}[/tex] chance that the first child won't call, a [tex]\frac{3}{4}[/tex] chance that the second child won't call, and a [tex]\frac{4}{5}[/tex] chance that the third child won't call on any given day. There is a [tex]\frac{2}{3} *\frac{3}{4} * \frac{4}{5} = \frac{2}{5}[/tex] chance that no child calls her on a randomly selected day.

When we consider a sample of 360 days, in particular, this "unrigorous" reasoning becomes rigorous due to linearity of expectation; over the first 360 days, 360 * 2/5 = 144 days will pass without a phone call. Now, we just check the remaining days. On days $361 and $362, no one calls her. On days 363 and 364, she receives calls from children every three and four days, respectively. On day 365, she receives calls every five days. Therefore, to get our answer of 146, we two more days in  144.

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Select all the true equations.

Group of answer choices


5+0=0


LaTeX: 15\cdot0=015 ⋅ 0 = 0


1. 4 + 2. 7 = 4. 1


LaTeX: \frac{2}{3}\cdot\frac{5}{9}=\frac{7}{12}2 3 ⋅ 5 9 = 7 12


LaTeX: 4\frac{2}{3}=5-\frac{1}{3}

Answers

The true equations are - 15·0 = 015·0, 1.4 + 2.7 = 4.1, and 4(2/3) = 5-(1/3).

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The first equation is -

5 + 0 = 0

This equation is false, as if 0 is added to any number, the result is the same number itself, and not 0.

The second equation is -

15·0 = 015·0

Any number multiplied by 0, gives the result as 0.

In the above equation LHS = RHS = 0.

Hence, this equation is true.

The third equation is -

1.4 + 2.7 = 4.1

Solving LHS -

= 1.4 + 2.7

= 4.1

So, LHS = RHS and hence, this equation is true.

The fourth equation is -

(2/3) · (5/9) = 7/12

Solving LHS -

= (2/3) × (5/9)

= 10/27

Here, LHS ≠ RHS.

Hence, this equation is false.

The fifth equation is -

4(2/3) = 5-(1/3)

Solving LHS -

4(2/3) = 14/3

Solving RHS -

= 5 - 1/3

= (15 - 1)/3

= 14/3

Therefore, LHS = RHS and hence, this equation is true.

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50 Points!
Which linear equation shows a proportional relationship?

Answers

Answer: y=3/ 4x

Step-by-step explanation: in the linear equations y= Kx shows the proportionality relations . Where k is the proportionality constant which can be any number . x an y are the variables, so according to this answer will be y=3/

Answer:

y=3/4x

Step-by-step explanation:

Let's first define some words;

Proportional: If a line or a ray through the origin it proportional

Non proportional: If a line or ray that does not pass through the origin

Origin: Initial point or the starting point

Now we have define the words now let's graph these points by using Desmos.

Graphs are shown below.    

Base on the graphs below we can see that;

y=3/4x pass through the origin which means the that this linear equation is proportional.

RevyBreeze

Makayla and Addison are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Makayla is 290 miles away from the stadium and Addison is 345 miles away from the stadium. Makayla is driving along the highway at a speed of 40 miles per hour and Addison is driving at speed of 51 miles per hour. Let MM represent Makayla's distance, in miles, away from the stadium tt hours after noon. Let AA represent Addison's distance, in miles, away from the stadium tt hours after noon. Write an equation for each situation, in terms of t,t, and determine the interval of hours, t,t, for which Makayla is closer to the stadium than Addison.

Answers

The linear functions for each situation are given as follows:

Makayla: 290 - 40x.Addision: 345 - 51x.

Makayla is closer than Addision when:

x < 5.

How to define the linear functions?

The linear functions in slope-intercept format for this problem are given as follows:

y = mx + b.

In which:

m is the slope, representing the velocity, as a negative as they are getting closer to the stadium with time.b is the intercept, representing the initial distance.

Hence the functions are defined as follows:

Makayla: 290 - 40x.Addision: 345 - 51x.

Makayla is closer when:

290 - 40x < 345 - 51x

11x < 55

x < 5.

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