find the x and y intercepts of the linear equation 2x - 4y = -20

Answers

Answer 1

Answer:

see explanation↓

Step-by-step explanation:

We are given the following equation of a line:

[tex]2x-4y=-20[/tex]

To determine the x-intercept we must set "y = 0":

[tex]2x-4(0)=-20[/tex]

[tex]2x=-20[/tex]

Now, we divide both sides by 2:

[tex]x=-\frac{20}{2}=-10[/tex]

Therefore, the "x" intercept is -10.

To determine the y-intercept we set "x = 0":

[tex]2(0)-4y=-20[/tex]

[tex]-4y=-20[/tex]

Now, we divide both sides by -4:

[tex]y=\frac{-20}{-4}=5[/tex]

Therefore the y-intercept is 5.


Related Questions

In a right triangle, cosine a = 0.352 and sine a = 0.936. what is the approximate value of tangent a? 0.329 0.376 1.288 2.659

Answers

The value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.

What are the trigonometric ratios?

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle. The value of tangent of angle is equal to the ratio of sine of that angle to the cosine of that angle.

[tex]\tan\theta=\dfrac{\sin\theta}{\cos\theta}[/tex]

Here, θ is the angle.

The value of angle given in the problem are,

Cosine a = 0.352 Sine a = 0.936.

Put these values in the above fromula as,

[tex]\tan (a)=\dfrac{\sin(a)}{\cos(a)}\\\tan (a)=\dfrac{0.936}{0.352}\\\tan(a)=2.659[/tex]

Hence, the value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.

Learn more about the trigonometric ratios here;

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Answer:

D(2.659)

Step-by-step explanation:

got it right on edg

Kristine wants to do hardwood flooring for her room. A floor plan of the room (in feet) is shown. How much hardwood flooring does she need?

Answers

Kristine would require at least 116ft of hardwood flooring for her room.

The answer is arrived at by using simple calculations of the area of a square - a polygon.

How do we arrive at the answer above?

Note that there are missing portions on the shape of the floor. (See a more elaborate version attached).

The side labeled F = 12ft

The side labeled CDE comprises three sides: 8, 2, and 2 respectively. This is also equal to 12.

With this information, we can calculate the area of the square assuming it was full.

The area of a square is given as:

Length x Breadth or L²;

that gives us: 12 x 12 or 12² = 144ft.

Now we get the total actual area by removing the areas of the missing segments.

Section Ax and Ay is also a square. because the length and the breadth are equal.

hence the area of AxAy = 16ft.

We also have the area of the section labeled D,Dx. This section is a rectangle. The formula for the area of a rectangle is:

Length x Breadth.

Hence, we have

6 x 2 = 12ft.

Total area of missing sections are:

12 + 16 = 28ft.

The total area of the square less the missing areas is:

144 - 28 = 116ft.

Hence the total amount of Hardwood that Kristine would require in square ft is 116ft.


See the attached images and learn more about areas of polygons at:
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The area of a circle is 9 ft. What is the circumference, in feet?

Answers

Answer:

Circumference: 10.63

Hope this helps.

What is the value of n when 2/3 of n equals 42? Enter the answer in the box.

Answers

The value of n will be 63, we converted the word to mathematical expression then found n

Word Problem

When we see the word "of" in a mathematic expression, it simply means multiplication

Hence we have the mathematical expression for the word in our example as

2/3*n = 42

re-write

2n/3 = 42

cross multiplying we have

2n = 42*3

2n = 126

divide both side by 2 we have

n = 126/2

n = 63

Learn more about word problem here:

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help please??? and thank you! <33​

Answers

The answer is 90.7
Good luck ♡

Answer:

90.69 Rounded to the nearest tenth is 90.7

Step-by-step explanation:

✓  Rounded to the nearest 0.1 or

the Tenths Place.

✓  Hopefully this helps you! :)

wishing you a amazing day! ・゚★,。・

-Keira <33

Ty and Leo are walking along linear routes in a city. On a map of the city, Ty's route passes through the coordinates (-1, 3) and (0, 1) and Leo's route passes through the coordinates (1, 4) and (0, 2). Will Ty and Leo pass through a common coordinate, walk along the same route, or never cross routes? ​

Answers

Answer:

Step-by-step explanation:

hello .....

note :  the slope of the line (AB) is :

m =  (YB -YA)/(XB - XA)      

in this execice given A  (-1, 3) and B(0, 1)

m1= (1-3)/(0+1) so :  m1= -2

same method for the line (CD) : m2 = (4-2)/(1-0) and C(1;4)  D(0;2)

so: m2 = 2

conclusion : m1 ≠ m2

Will Ty and Leo pass through a common coordinate,

the table shows some ordered pairs that belong to quadratic function h​

Answers

The table represents the quadratic function h​(x)

The range of the quadratic function is (d) all real numbers greater than or equal to -8

How to determine the range?

The range of the quadratic function is the list of the function ouput values.

From the table, we have:

The smallest output value is -8

Assume this is the vertex of the quadratic function, the range of the quadratic function would be (d) all real numbers greater than or equal to -8

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In the figure below, triangle B C A tilde triangle S T R. Find cos T comma sin T comma and tan T. Round your answers to the nearest hundredth.

Answers

Y=tx26 The comma and tan sin Is cos x

Aubrey was buying candy for goodie bags for her birthday party. She bought 6 pounds of jellybeans how much did she spend on jellybeans?

Answers

Answer:

How much jellybeans cost?????????

Step-by-step explanation:

Answer:

how much do the hello beans cost

A car with a mass of 1,500 kg broke down on the side of the road. How much force will be required
for a tow truck to accelerate the car at a rate of 3 m/sec^2

Answers

Answer:

the answer is 4,500kgm/s2

Step-by-step explanation:

force= mass × acceleration

[tex]f = 1500 \times 3 \\ = 4500kgm {s}^{ - 2} [/tex]

Can y’all help with this? Thanks

Answers

Answers:  

Exponential decay model is y = 500*0.88^x

There is roughly 0.0000000000237 mL of the original air left.

There are 10 zeros between the decimal point and the '2'

The number in scientific notation is [tex]0.0000000000237 = 2.37 \times 10^{-11}[/tex]

=============================================================

Further Explanation:

A general exponential equation is

y = a*b^x

We start with 500 mL of air which is the value of 'a'

If 12% of the air is replaced, then 88% of it remains because 12% + 88% = 100%

Convert 88% to the decimal form 0.88 and this represents the base of the exponent. This is the value of b.

-------------

Since a = 500 and b = 0.88, we have

y = a*b^x

y = 500*0.88^x

Now we plug in x = 240 to estimate how much of the original air is in the lungs after that many breaths.

y = 500*0.88^x

y = 500*0.88^240

y = 0.0000000000237

This number is very small and to be expected since quite a bit of breaths have occurred. Nearly all of the original air particles should be replaced by this point. A very small trace amount remains.

Notes:

There are 10 zeros between the decimal point and the '2' in the number 0.0000000000237The number 0.0000000000237 is so small that it probably makes sense to use scientific notation to write [tex]0.0000000000237 = 2.37 \times 10^{-11}[/tex] meaning we move the decimal point 11 spots to the left to go from 2.37 back to 0.0000000000237The number 0.0000000000237 is read out as "237 ten-trillionths". Imagine splitting an object into ten trillion tiny pieces, and then shading 237 of those pieces to represent this decimal number.

What is the answer to this math problem?

Answers

Answer:

7

Step-by-step explanation:

[tex]\dfrac{9 + 5}{2} \\\\\\= \dfrac{14}{2} \\\\\\= \dfrac{2 \times 7}{2} \\\\\\= \dfrac{7}{2 \div 2} \\\\\\= \dfrac{7}{1} \\\\\\= 7[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{9+5}{2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14}{2}[/tex]

[tex]\\ \rm\Rrightarrow 14\div 2[/tex]

[tex]\\ \rm\Rrightarrow 7[/tex]

Done!

Chase brought 6 toys to school. That is 20% of all his toys. What is his total amount of toys?

Answers

Answer:

30

Step-by-step explanation:

20 % of his toys are 6. 20 % of a number could only be 100, 100 / 20 = 5
Multiply 5 by 6 and u get 30 :D

100, to answer this questions we can assume that 20% is 1/6 so therefor we can multiply 20 x 6 and get 100

A frog jumps in the air. The height, in inches, of the frog is modeled by the function h(t)=60t-75t , where t is the time after it jumped, measured in seconds.

Solve .

Answers

The time of motion of the frog after it jumped into air is determined as 0.8 second.

Time of motion of the frog

The time of motion of the frog is determined by solving the quadratic equation as follows;

60t - 75t² = 0

60t = 75t²

divide both sides by t

60 = 75t

divide both sides by 75

60/75 = t

0.8 s = t

Thus, the time of motion of the frog after it jumped into air is determined as 0.8 second.

Learn more about time of motion here: https://brainly.com/question/2364404

A fence installation company sells 4 models of chain-link fencing, 2 models of wood fencing, and 3 models of iron fencing. What is the total number of models of fencing that the company sells?

A. 24
B. 11
C. 6
D. 9

Answers

Answer:

D.

Step-by-step explanation:

Jenny packaged 108 eggs in 9 cartons. Write this statement as a rate

Answers

Answer:

12 eggs/carton

Step-by-step explanation:

The desired rate is (108 eggs) / (9 cartons) = 12 eggs/carton

Find the area of a regular decagon (10 sides) with perimeter 100 units. Show all work

Answers

Answer:

What's the complex name

Pd(co2) (me3p)2

How many whole groups of 63 go into 504?
I will mark brainliest answer!

Answers


Answer: 8
504÷63= 8
I hope this helps! :)

Donal buys a 1/4 pound package of cheese. There are 8 slices of cheese in the package. Each slice has the same wieght. What fraction of a pound is each slice?

Answers

Answer:

1/32  lb per slice

Step-by-step explanation:

We want the pounds per slice, or lb/slice.

We have 0.25 lbs and 8 slices, so:  (0.25 lb/8 slices)

(0.25 lb/8 slices) = (1/8)(0.25)

(1/8)(0.25)(4/4) = 1/32 lb per slice

Check:

(8 slices)*(1/32 lb/slice) = 8/32 lb

8/32 = 1/4 lb total  YES

of the ten menu items at deli, 7 are sandwiches With meat, 2 are sandwiches without meat, and 1 is a desert.Write the fraction of menu options that are sandwiches as a fraction with a denominator of 100. Then write the fraction as a decimal.

Answers

The fraction of menu options that are sandwiches is 70/100, or 0.7 in decimal form.

How to write the fraction?

Out of the 10 options on the menu, 7 are sandwiches.

Then the fraction of options in the menu that are sandwiches is:

7/10

But we want the denominator to be 100, so we multiply both numerator and denominator by 10 to get:

7*10/10*10 = 70/100

This is the fraction we wanted.

Now, we want it as a decimal, this will be:

70/100 = 0.7

If you want to learn more about fractions, you can read:

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Are the given vectors normal? a = < 5 , − 2 > and b = < 6 , 15 > Equation editor does not include the grouping symbols " < " and " > " that are necessary for writing a vector in component form. For this question, use braces to write a vector in component form. For example, the vector < 2 , 3 > should be written as { 2 , 3 } .

Answers

Answer:

Yes.

Step-by-step explanation:

Yes. They are normal

This box plot displays information about the number of text messages some students sent one day.


What is the median number of texts sent by the students?

What is the IQR ?

P.S Please don't troll I really need help ​

Answers

Answer:

Median is between 10 - 15 so you could estimate it to = 14. IQR = 10.

Step-by-step explanation:

Median is an estimate based on the box plot and IQR is the is the differene between Q3 and Q1,

i need to knoow the anser of 20000+2000

Answers

Answer:

22000 easy but this simple hope it helps

Step-by-step explanation:

Can someone please help me on this

Answers

Answer:

1. Colored men

2. Not really sure, but maybe on a wall ??

3. To notify colored men what the president proclaimed

Step-by-step explanation:

Helppp plssssss!!!!!!

Answers

Number 3 is D since Q and R are parallel to S and T which means they’re congruent.

I need help on number 16 these instructions say to solve these equations by cross multiplying

Answers

Answer:

  15.  x = 4

  16.  a = 19

Step-by-step explanation:

"Cross multiply" essentially means "multiply both sides of the equation by the product of the denominators."

__

15.

  [tex]\dfrac{x}{6}=\dfrac{2}{3}\\\\3(x)=6(2)\qquad\text{"cross multiply"}\\\\\boxed{x=4}\qquad\text{divide by 3}[/tex]

This is an example of a problem in which cross-multiplying introduces the need for an extra step: divide by 3. Had we simply multiplied by the denominator of the x-term, we would have been finished in one step:

  x = 6(2/3) = 4

That is, rather than multiplying by the product of the denominators, sometimes the problem can be solved more easily if you multiply by their least common multiple.

__

16.

  [tex]\dfrac{a+1}{a+5}=\dfrac{a-4}{a-1}\\\\(a-1)(a+1)=(a+5)(a-4)\qquad\text{"cross multiply"}\\\\a^2-1=a^2+a-20\qquad\text{simplify}\\\\\boxed{19=a}\qquad\text{add $20-a^2$}[/tex]

Can someone please help me on this?

Answers

Answer:

see image

Step-by-step explanation:

You graph a piecewise function just like three separate graphs. See where there is a greater than > or less than < symbol (without the "or equal to" line underneath) these will have open circle endpoints. See image.

What is x. Please show *all* the steps.

Answers

The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation

The value of x is 8 or 1

How to determine the value of x?

The equation is given as:

5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Rewrite as:

-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Take the  LCM

[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0

Expand

[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0

Evaluate the like terms

[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0

Multiply through by x^2 - 4

x^2 - 12x+ 3x + 8 = 0

Evaluate the like terms

x^2 -9x + 8 = 0

Expand

x^2 -x - 8x + 8 = 0

Factorize

x(x -1) - 8(x - 1) = 0

Factor out x - 1

(x -8)(x - 1) = 0

Solve for x

x = 8 or x = 1

Hence, the value of x is 8 or 1

Read more about equations at:

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Ed Galaxy- Operations with whole numbers and decimals ​

Answers

Answer:

0.6

Step-by-step explanation:

1.0l-0.4l=0.6L

Which graph line represents an equation of a line with a slope of -2 and a point on the line of (-1, 2)

Answers

Answer:

purple

Step-by-step explanation:

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