Explain the steps to find x- and y- intercepts of an equation of the form Ax + By = C

Answers

Answer 1

Step-by-step explanation:

For an equation of form Ax + By = C, we are given A, B, and C.

The x intercept is when the line/equation is on the x axis, or when y=0.

Therefore, if we plug y=0 into the equation Ax+By=C, and anything multiplied by 0 is equal to 0, we can say that

Ax + 0 = C

Ax = C

divide both sides by A

x  = C/A

Therefore, the x intercept is equal to C/A

Similarly, for the y intercept, or when the line is on the y axis (or when x=0), we have

A*0 + By = C

By = C

divide both sides by B

y= C/B at the y intercept


Related Questions

Find the values of X and Y that makes these triangles congruent by the HL theorem

Answers

Answer:

C. x = 3, y = 2

Step-by-step explanation:

If both triangles are congruent by the HL Theorem, then their hypotenuse and a corresponding leg would be equal to each other.

Thus:

x + 3 = 3y (eqn. 1) => equal hypotenuse

Also,

x = y + 1 (eqn. 2) => equal legs

✔️Substitute x = y + 1 into eqn. 1 to find y.

x + 3 = 3y (eqn. 1)

(y + 1) + 3 = 3y

y + 1 + 3 = 3y

y + 4 = 3y

y + 4 - y = 3y - y

4 = 2y

Divide both sides by 2

4/2 = 2y/2

2 = y

y = 2

✔️ Substitute y = 2 into eqn. 2 to find x.

x = y + 1 (eqn. 2)

x = 2 + 1

x = 3

Answer my question you heathens

Each month your cell phone company charges you $ 40 for your plan plus 2 cents for each text you send. You have $ 120 budgeted for cell phone expenses for the month. Construct an inequality to make a determination about the number of texts you can send each month. Note that you cannot send a fraction of a text. You must send __________ _______________ texts this month in order to stay within your budget.

Answers

Answer:

50 text messages would have to be sent or received in order for the plans to cost the same each month.

Step-by-step explanation:

x = number of text messages sent

0.2x+40=50

0.2x = 10

5(0.2x) = 5(10)

x = 50

Therefore, 50 text messages would have to be sent or received in order for the plans to cost the same each month.

Type the expression that results from the following series of steps: Start with y times by 4 then add 9.

Answers

Answer:

4y + 9

Step-by-step explanation:

"y times 4" means 4y because 4*y = 4y

And then "add 9."

Which would be 4y + 9.

Answer:

4y + 9

Step-by-step explanation:

y times 4 = 4y

add 9 = + 9

When four times a number is added to 8 times the number, the result is 36. What is the number

Answers

Let the number = X

4x + 8x = 36

Simplify:

12x = 36

Divide both sides by 12:

x = 3

The number is 3

4x + 8x = 36
12x = 36
X=?
Answer of the question

Suppose a line parallel to side BC of triangle ABC intersects AB and AC at point D and E, respectively. Find the length of AE if DB = 32, AB= 48 and AC = 39

Answers

Answer: AE=13

Step-by-step explanation: took test

4
On a plan with a scale of 1:50, the floor of a rectangular cupboard is
shown with dimensions 25 cm by 3.6 cm. What are the actual dimensions
of the floor? Give your answers in metres.



Anyone know the answer ?

Answers

Answer:

The actual dimensions of the floor are 12,5m by 1,8m.

Step-by-step explanation:

Scale problems are solved by proportions, using a rule of three.

Scale of 1:50

This means that each cm on the cupboard has a real dimension of 50 cm

25 cm on the cupboard:

So the real dimension is:

25*50 = 1250 cm = 12,5m

3.6 cm

The real dimension is:

3.6*50 = 160 cm = 1,8 m

The actual dimensions of the floor are 12,5m by 1,8m.

What are the solutions to the system of equations graphed below

Answers

Yes I should be about 50!593

The productivity of workers at a shoe factory in
pairs of shoes per hour) can be modeled using the
function p(h) = -4h + 5, where h is the number of
hours. If a worker must create at least 3 pairs of
shoes per hour for the company to be profitable,
how long should the worker's shift be?

Answers

Answer:

1/2 hour

Step-by-step explanation:

Given the productivity function measured in pairs of shoes per hour ;

P(h) = - 4h + 5

h = number of hours

Number of hours required to create 3 pairs of shoes :

Put P(h) = 3 in the equation :

3 = - 4h + 5

3 - 5 = - 4h

-2 = - 4h

-2/-4 = - 4h/-4

0.5 = h

1/2 an hour = 30 minutes

PLEASE HELP THIS IS MY LAST QUESTIONNNN
- The electric company charges Dalton a monthly service fee of $30 plus $0.15 per kilowatt-hour of electricity used. This month, Dalton's bill is $105.

- How many kilowatt-hours of electricity did Dalton use?

Answers

500 kwh

$105 - $30 = $75

$75 / $0.15 = 500

Answer:

$105-$30 service fee, this leaves only the electricity used. $75. now to find how many kilowatt hours used you divide $75/.15=500 answer 500 kilowatt hours.

Step-by-step explanation:

see above

Heeeeeeelp please ;-;

Answers

t value lies between (2,3) so, answer is option d

Not sure I would solve this problem or where to start? Can someone help me out here please?

Answers

Answer:

$2419469.58

Step-by-step explanation:

You are given the original player salary and told that there is a pay decrease of 2.7%.

So New Salary= Original Salary-Pay Decrease.

If original is 100% and pay decrease is 2.7% then the new salary is 97.3% of original.

New Salary= 0.973*2486609=$2419469.58

What is the smallest three-digit number that is divisible by 3? Explain how you know without multiplying or dividing.

Answers

Smallest 3 digit number is 100, divisible by 3 would be 102??

I need at least two more sentences in regards with this assignment. Note the included photo. Please come up with two proper sentences following the assignments instructions. Ps. Don’t try to steal points from this or you will be reported

Answers

Answer:

A={x: x is a cat}

B={x: x likes climbing on trees}

My little cat Louis likes climbing on trees (Louis is in the intersection of the two sets)

A={x: x is a town in the USA}

B={x: x is a town in the UK}

To improve my English I'd like to go on holiday to a town in the USA, but a town in the UK would work too (the town shall be in the union of the two sets)

Simplify (6 + 4i) + (3 - 3i)

Answers

Answer:

9 + i

Step-by-step explanation:

You just simplify by combining the real and imaginary parts of each expression.

Hope this helps you!!

answer plz pix inside plz find both answers

Answers

Answer:

pixxer

Step-by-step explanation:

please pick inside please

Answer:

I dont now

Step-by-step explanation:

plz conprendation

match the description in column a to its corresponding word in column b.
help me plsssss​

Answers

Answer:

1-a

2-h

3-g

4-d

5-c

6-j

7-f

8-k

9-b

10-i

numbers are column A and alphabets are column B!

Show all the steps to solve the following
942.6 - 19.734

Answers

Answer:

922.868

Step-by-step explanation:

1. Thousandth place of 942.6002. Subtracting

[tex]942.600-19.732=922.868[/tex]

a + b·c = a + c·b is an example of the associative property.

Answers

Answer:

yes , This is an example of the associative property.

Step-by-step explanation:

A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected (without replacement).

Answers

Answer:

The probability of getting two good coils is 77.33%.

Step-by-step explanation:

Since a batch consists of 12 defective coils and 88 good ones, to determine the probability of getting two good coils when two coils are randomly selected (without replacement), the following calculation must be performed:

88/100 x 87/99 = X

0.88 x 0.878787 = X

0.77333 = X

Therefore, the probability of getting two good coils is 77.33%.

How long will it take 500 dollars to double if it is invested at 7% interest compounded semi-annually

Answers

Answer:

11 half years

Step-by-step explanation:

The formula for compound interest is

A = P(1+r/n)^(nt), with r representing the interest rate, n being the number of times interest is applied over the time period, and t being the amount of time periods.

If we make the time period a half year (so interest is compounded once per time period), n=2. Then, our interest rate is 7%, or 0.07 (to convert from percent to decimal, simply divide by 100). Our starting amount is 500, and we want it to double, making it 1000. Our formula is thus

1000 = 500 (1+0.07)^(t)

divide both sides by 500

2 = (1+0.07)^(t)

2 = (1.07)^(t)

Using logarithms, we can say that

[tex]log_{1.07} 2 = t[/tex]

and using a calculator, we get

10.24 = t

Since interest is only compounded once per time period, though, we have to round up to make sure it doubles, so t = 11

Which of the following is an acute triangle?
70
30*
24°
45
126
132
36°
90°
45
559 55°
Triangle A
Triangle B
Triangle C
Triangle D
A. Triangle B
B. Triangle A
O
C. Triangle C
O.
D. Triangle D

Answers

Triangle A.
The angle is less that 90 degrees.

The correct answer will be option (B) Triangle A

Acute triangle

An acute-angled triangle is a type of in which all the three internal angles of the triangle are acute, that is, they measure less than 90°

How to solve this problem?

The steps are as follow:

In acute triangle the the internal angle should not or greater than 90 degreeIn triangle B one of internal angle is 126 degree which is greater than 90 degree so it is not acute triangleOne internal angle of triangle C is 90 degree so it is also not acute triangleFor triangle D one angle is 132 degree which is greater than 90 degree so it also not acute triangleIn triangle A all the internal angle is less than 90 degree so it is acute triangle

So the triangle A is acute triangle

Learn more about Acute triangle here:

https://brainly.com/question/1058720

#SPJ2

Help asap!!!!!!
A.
B.
C.
D.

Answers

Answer:

Function has a minimum value

So, f(x)=0 and f(4)=-3

f(x)= - 1/2x^2+4x-11

f(4)=-3 and f(x)=-x+4

f(4)=0

OAmalOHopeO

Simplify
b. 3a + 4b-2a-b
4 나
V
216 x
Х
18

Answers

Answer:

a+3b

Step-by-step explanation:

3a+4b-2a-b

=3a-2a+4b-b

=a+3b

Can anyone help me with the question?

Answers

Answer:

-9

Step-by-step explanation:

(f-g) (x) = 2x²-7x+24-5x²-5x+3

= -3x²-12x+27

(f-g) (2) = -3(2)²-12(2)+27

= -12-24+27

= -9

Which statement best compares the two functions? The minimum of function A occurs 1 unit higher than the minimum of function B. The minimum of function A occurs 3 units higher than the minimum of function B. The minimum of function A occurs 5 units lower than the minimum of function B. The minimum of function A occurs 7 units lower than the minimum of function B.

Answers

Answer: D: The minimum value of A occurs 7 units lower than minimum of function B.

Step-by-step explanation: The minimum of function A is at (3,-2), while the minimum of function B would be at (-3,5). So, you do 5-(-2) to get 7.

The minimum value of A occurs 7 units lower than the minimum of function B.

We have given that,

Statement best compares the two functions

What is the minimum and maximum function?

The maxima and minima of a function, known collectively as extrema, are the largest and smallest value of the function, either within a given range, or on the entire domain.

The minimum of function A is at (3,-2), while the minimum of function B would be at (-3,5). So, you do 5-(-2) to get 7.

To learn more about the minimum visit:

https://brainly.com/question/26699459

#SPJ2

The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width, is given in as
x 01234
f(x) 0.41 0.37 0.16 0.05 0.01
Find the average number of imperfections per 10 meters of this fabric.

Answers

Answer:

0.88

Step-by-step explanation:

x 01234

f(x) 0.41 0.37 0.16 0.05 0.01

The mean or average is the expected value :

E(X) = Σ(x * p(x)) = (0 * 0.41) + (1 * 0.37) + (2 * 0.16) + (3 * 0.05) + (4 * 0.01)

E(X) = 0 + 0.37 + 0.32 + 0.15 + 0.04

E(X) = 0.88

Chris is riding her bike for 10 miles. She averages 12 mi/h. how many more minutes must she ride before she travels 60 miles?

Answers

Answer:

5 Minutes

take 10 and add 12 for each minute until you pass 60


Keiko, Chang, and Abdul sent a total of 109 text messages over their cell phones during the weekend. Keiko sent 7 fewer messages than Chang. Abdul sent 4
times as many messages as Keiko. How many messages did they each send?

Answers

9514 1404 393

Answer:

Keiko: 17Chang: 24Abdul: 68

Step-by-step explanation:

Let c represent the number of messages sent by Chang. Then Keiko sent (c-7) messages, and Abdul sent 4(c-7) messages. The total number sent was ...

  c + (c -7) +4(c -7) = 109

  6c -35 = 109 . . . . . . . . . . simplify

  6c = 144 . . . . . . . . . . . add 35

  c = 24 . . . . . . . . . . . divide by 6

  c-7 = 17

  4(c-7) = 68

Keiko sent 17, Chang sent 24, and Abdul sent 68 text messages.

Determine if a quadrilateral with the given vertices is an isosceles trapezoid. Show and explain all steps to prove or disprove.
A(3, 3) B(5, 3) C(8,1) D(1,1)

Answers

Answer:

No, a quadrilateral with the given vertices is not  an isosceles trapezoid.

Step-by-step explanation:

We are given that

A(3,3), B(5,3), C(8,1), D(1,1)

Slope formula:

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

Slope of AB=[tex]\frac{3-3}{5-3}=0[/tex]

Slope of BC=[tex]\frac{1-3}{8-5}=\frac{-2}{3}[/tex]

Slope of CD=[tex]\frac{1-1}{1-8}=0[/tex]

Slope of AD=[tex]\frac{1-3}{1-3}=1[/tex]

Slope of AB=Slope of CD

When slopes of two lines are equal then the lines are parallel.

Therefore, AB is parallel to CD.

When one pair of quadrilateral is parallel then the  quadrilateral is trapezoid.

[tex]\implies [/tex]ABCD is a trapezoid.

Distance formula:

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the formula

Length of BC=[tex]\sqrt{(8-5)^2+(1-3)^2}[/tex]

Length of BC=[tex]\sqrt{9+4}=\sqrt{13}[/tex] units

Length of AD=[tex]\sqrt{(1-3)^2+(1-3)^2}[/tex]

Length of AD=[tex]\sqrt{4+4}=2\sqrt{2}[/tex]

Length of AD is not equal to length of BC.

Hence, trapezoid is not an isosceles trapezoid.

An equation, f, has a domain of all whole numbers and has a range of all real numbers. A) Does the equation
represent a function? B) Explain why or why not. C) provide examples in either case, (and include your reasoning why
you chose this equation for your example.)

Answers

Answer:

f is not a function

Step-by-step explanation:

Given

Domain: Whole numbers

Range: Real numbers

Required

Is f a function

Base on the given parameters, f is not a function because:

There are more real numbers than whole numbers

And this implies that at least one element in the domain will have more than one corresponding elements in the range. i.e. one-to-many or many-to-many relationship

For a relation to be regarded as a function, the relationship has to be one-to-one or many-to-one

i.e. 1 or many domain elements to 1 element in the range.

An example is:

[tex]\begin{array}{ccccc}x & {1} & {9} & {9} & {0} \ \\ f(x) & {1.5} & {3.2} & {-3.5} & {0.1} \ \end{array}[/tex]

In the above function

The domain (i.e. x values) are whole numbers

The range (i.e. y values) are real numbers

However,

9 points to 3.2 and -3.5

So, the relation is not a function.

Other Questions
A cost-benefit analysis of a highway is difficult to conduct because analysts a. are unlikely to have access to costs on similar projects. b. cannot estimate the explicit cost of a project that has not been completed. c. are not able to consider the opportunity cost of resources. d. will have difficulty estimating the value of the highway. The graph plots four equations, A, b,c,and dWhich pair of equations has (0.8) as its solution?Equation A and Equation CEquation B and EquationEquation C and Equation DEquation B and Equation D The energy source for active transport is ________ , while the force driving facilitated diffusion is ________. what type of literary device is " Wilson and I are different species: hes an early bird and I am a night owl. The problem is if I move him to his own cage, who will I get to clean up the droppings? (Adapted from T.V.s House.)" provide explanation please need this ASAP if sinA=3-1/22,then prove that cos2A=3/2 prove that Solve each inequality. Graph the solution on a number line. >Which statement describes an electron?EEEEIt has a positive charge and is located in the nucleus.O It has a positive charge and is located in orbitals around the nucleus.It has a negative charge and is located in the nucleus.O It has a negative charge and is located in orbitals around the nucleus. In the titration of 82.0 mL of 0.400 M HCOOH with 0.150 M LiOH, how many mL of LiOH are required to reach the equivalence point Who was Abott Suger? a. a well-known French artisan of Gothic style windows b. a German statesman and historian who was the first patron of Gothic architecture c. a French statesman and historian who was the first patron of Gothic architecture d. an apprentice of Pseudo-Dionysius art project Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 5? is Poland famous for anything besides being invaded 500 times? How should human resources be developed? Once a good or service nears the end of its product life cycle, the firm recognizes that Multiple Choice it is impossible to revert to an earlier stage of the model. it can return to an earlier stage through creative marketing. it will enjoy relatively high profits. marketing dollars spent now will provide little benefit. A man drove 60 km at 30 km/h, 60 km at 40 km/h and 60 km at 50 km/h. What was his average speed for the whole journey? Given resistance 30ohms Inductance 200mH is connected to a 230v,50hZ supply. Impedance 69.6ohms Calculate current consumed? Which equation will solve the following word problem? Vanessa spent $87.00 on entertainment for the week. Her rent costs twelve dollars less than double that amount. How much does Vanessa spend on rent?2 * $87 - $12 = R2R = $87 + $122R - $12 = $872($87) - 2($12) = R Choose the molecular compound among the substances listed below. options:XeCl4NaFMnCl2CaONothing listed can be classified as a molecular compound. How is the monroe doctrine an example of diplomatic nationalism The equations for calculating both the electric force and the gravitational force are above. Their equations are very similar. What is an important difference between these two forces?A The electrical force is measured in coulombs; the gravitational force is measured in newtons.B The electrical force between two charged objects will always be weaker than the gravitational force between them.C The gravitational force decreases with the square of the distance between the objects; the electrical force increases with the square of the distance between the objects.D Electrical forces can be attractions or repulsions; gravitational forces can only be attractions.