write an equation in standard form of the line that passes through (7, -3) and has a y intercept of 2

Answers

Answer 1

Answer:

Step-by-step explanation:

I would start with the form

y = mx + b

and then convert to standard form.  Using the given point and the given y-intercept, find the slope from

-3 = 7m + 2 ⇒ m = -5/7

y = (-5/7)x + 2  

7y = - 5x + 14

5x + 7y = 14 (standard form)

Answer 2

The equation in standard form of the line is 5x + 7y = 14

What is an equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given that, a line is passing through (7, -3) and has a y intercept of 2

The general equation of a line is y = mx + b

Using the given point and the given y-intercept, find the slope from

-3 = 7m + 2

m = -5/7

y = (-5/7)x + 2  

7y = - 5x + 14

Converting into standard form;

5x + 7y = 14

Hence, the equation in standard form of the line is 5x + 7y = 14

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Related Questions

Please help me with this math problem!! :)

Answers

Step-by-step explanation:

the following things are clear : opposite sides are of equal length, the sum of all angles in a square, rectangle or general parallelogram is 360 degrees, and opposite angles are equal.

so,

y² + 7 = 32

y² = 25

y = 5

2y² = k

2×5² = k

50 = k

the opposite angle of 150 is also 150 degrees.

the opposite angle of x is also x.

so, we have as sum of angles

360 = 150 + 150 + x + x = 300 + 2x

60 = 2x

x = 30 degrees

A movie store sells DVDs for $11 each. What is the cost, C, of n DVDs?

Answers

C=11 x N I wanna say but try and confirm this

(☞╹◡╹)☞ Enjoy ☜(╹◡╹☜)

Answers

Step-by-step explanation:

hey.....

how are uh

Forty percent of the beads in a bag of more than 10,000 beads are yellow. Suzy pulls out 10 beads, one at a time with replacement, and notes that eight of these beads are yellow. She says the next bead pulled out will not be yellow because a yellow bead has been pulled out too many times in a row.Is Suzy’s reasoning correct?

Answers

Answer:

No, it is true that the probability of pulling a yellow bead is 0.40, but Suzy should not expect that exactly 40% of such a small number of beads pulled will be yellow. A large city's transit department claims that only 10% of city buses run off schedule.

Answer:

D I believe

Step-by-step explanation:

Help! I have no idea how to do t his. Pls help. Show your work too, thank you! Question in the picture.

Answers

Answer:

  $87.50

Step-by-step explanation:

To answer this question, you make use of the formula for simple interest:

  I = Prt

This is the interest I on principal amount P at annual rate r for t years.

You have P = $3500, r = 0.025, t = 1, so the interest is ...

  I = $3500×0.025×1 = $87.50

You would receive $87.50 in interest on your savings account.

_____

Additional comment

Many calculators, and all spreadsheets, can use a percentage number directly in the calculation. If yours can't, then you must convert the percentage to a decimal fraction. You can think of the "%" symbol as equivalent to "/100" or "×0.01". The decimal equivalent of 2.5% is 2.5/100 or 2.5×0.01 = 0.025.

__

We have assumed the account earns simple interest, because there is no mention of interest compounding, or of a monthly accounting. In many real-life savings accounts, the interest is computed each month and added to the balance. The computation for the following month includes interest on the interest earned previously. We say the interest is compounded in that case. The formula for compound interest is different from the one shown here.

The area of the surface of a ball is equal to the area of the curved surface of a right circular cylinder. If both the height and diameter of the cylinder are 12cm , find the diameter of the ball

Answers

Answer:

D=12 cm

Step-by-step explanation:

please check the image for the answer. Thank you .

Solve for y.

62=y−58.8

Enter your answer in the box.

y =

Answers

Answer:

120.8

Step-by-step explanation:

The value of y from the given equation is 120.8.

The given equation is 62=y-58.8.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows

Add 58.8 on both the sides of an equation, that is

62+58.8=y-58.8+58.8

⇒ y=120.8

Hence, the value of y from the given equation is 120.8.

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Which coin does Jeff have the most of in his collection?

nickel
penny
dime

Answers

Answer:

dimes

Step-by-step explanation:

Answer: dimes

Step-by-step explanation:

The given bar graph shows the number of rooms, bathrooms, fireplaces, and elevators in the building.
Combined, there are 199 rooms, bathrooms, fireplaces, and elevators. The number of rooms exceeds the
number of bathrooms and fireplaces by 68. The difference between the number of fireplaces and elevators is
23. If the number of bathrooms is doubled, it exceeds the number of fireplaces and elevators by 47. Determin
the number of rooms, bathrooms, fireplaces, and elevators in the building.

Answers

Using a system of equations, it is found that there are:

132 rooms.38 bathrooms.26 fireplaces.3 elevators.

For the system, we have that:

The number of rooms is x.The number of bathrooms is y.The number of fireplaces is z.The number of elevators is w.

Combined, there are 199 rooms, hence:

[tex]x + y + z + w = 199[/tex]

The number of rooms exceeds the  number of bathrooms and fireplaces by 68, hence:

[tex]x = y + z + 68[/tex]

The difference between the number of fireplaces and elevators is  23, hence:

[tex]z - w = 23[/tex]

If the number of bathrooms is doubled, it exceeds the number of fireplaces and elevators by 47, hence:

[tex]2y = z + w + 47[/tex]

Replacing the third equation into the fourth:

[tex]z = 23 + w[/tex]

[tex]2y = z + w + 47[/tex]

[tex]2y = 23 + w + w + 47[/tex]

[tex]2y = 2w + 70[/tex]

[tex]y = w + 35[/tex]

Then, from the second equation:

[tex]x = y + z + 68[/tex]

[tex]y + z = x - 68[/tex]

We can solve for w, considering that:

[tex]y = w + 35[/tex]

[tex]z = 23 + w[/tex]

[tex]y + z = x - 68[/tex]

[tex]x = y + z + 68[/tex]

[tex]x = w + 35 + w + 23 + 68[/tex]

[tex]x = 2w + 126[/tex]

[tex]x + y + z + w = 199[/tex]

[tex]2w + 126 + w + 35 + 23 + w + w = 199[/tex]

[tex]5w + 184 = 199[/tex]

[tex]5w = 15[/tex]

[tex]w = \frac{15}{5}[/tex]

[tex]w = 3[/tex]

Then, solving for the other variables:

[tex]x = 2w + 126 = 2(3) + 126 = 132[/tex]

[tex]y = w + 35 = 3 + 35 = 38[/tex]

[tex]z = 23 + w = 23 + 3 = 26[/tex]

There are:

132 rooms.38 bathrooms.26 fireplaces.3 elevators.

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SUPER EASYYYYYYYYYYYYYYYY

Answers

Hello, hope you are having a nice day.

t^3*t^9

When we multiply numbers with the same base, we add the powers.

t^12

That's the answer. Hope it helps

Ask me if you have any queries.

[tex]MagicalNature[/tex]

Good luck.

Sofi stores water for her turtle tank in a container with a maximum
capacity of 64 ounces. The container is filled with 4 8 ounces less than
its maximum capacity
PART A
PARTE
Sofi accidentally spills 5% of the container's Sofi needs to add 16 ounces of water to
maximum capacity on the counter. To what her turtle tank. What percentage of the
percent of its capacity is the container
remaining water in the container does she
now filled?
need to use? Explain.
67.5%
12.5%
87 99
95%

Answers

A) If Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.

B) If Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.

Given that Sofi stores water for her turtle tank in a container with a maximum capacity of 64 ounces and the container is filled with 4.8 ounces less than its maximum capacity, to determine A) if Sofi accidentally spills 5% of the container's maximum capacity on the counter, to what percent of its capacity is the container now filled, and B) if Sofi needs to add 16 ounces of water to her turtle tank, what percentage of the remaining water in the container does she need to use, the following calculations must be made:

A)

64 = 100 (64 - 4.8) - (64 x 0.05) = X 64 = 100 56 = X 56 x 100/64 = X 87.5 = X

Therefore, if Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.

B)

56 = 100 16 = X 16 x 100/56 = X 28.57 = X

Therefore, if Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.

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Answer:

A=87.5%   b=28.57

Step-by-step explanation:

ADVICE PLEASE LOOK AT THIS VERY HELPFUL

PART                           percent

--------- over =          ----------------- over   Cross multiply and then divide by 100  

WHOLE                       100%

how to solve x-3=2-3x​

Answers

Answer:

x = 5/4

Step-by-step explanation:

x-3=2-3x​

Add 3x to each side

x+3x-3=2-3x​+3x

4x-3 = 2

Add 3 to each side

4x-3+3 = 2+3

4x =5

Divide each side by 4

4x/4 = 5/4

x = 5/4

Answer:

5/4

Step-by-step explanation:

[tex]x-3=2-3x\\-3=2-4x\\-5=-4x\\\frac{-5}{-4} =x\\x=\frac{5}{4}[/tex]

Combine all like terms by moving them to their respective sides, then simplify as best you can.

A toy rocket is launched from the ground, the equation

h= -16t^2+ 80t, models the height of the rocket h in feet at any timet

in seconds.

For which interval of time will the rocket be higher than 64 feet off the

ground?

Answers

Answer:

Step-by-step explanation:

We can graph the function and determine the points where the y value line is greater than 64 feet.  We could also solve the equation for h = 64.

Graphing:

A graph is attached.  The intersections of the line at height = 64 feet are at (1,64) and (4,64).  The first is going up and the second coming down.  The period of time the rocket is above 64 feet is from 1 to 4 seconds.

Solving:

h= -16t^2+ 80t

64 = -16t^2+ 80t

-16t^2+ 80t - 64 = 0

Solve using the quadratic formula:

We get two answers:  1 and 4 (seconds)

How do you get the volume of a 3d object? How could the way to calculate volume help certain people like construction workers?
Me will give brainliest to the person whose answer is the best.

Answers

Answer:

The way to calculate the volume of a 3D object like a cube is by multiplying the length times the width and the height or you could also use base times the height to find the volume. The way to calculate the volume could help construction workers to see how much area the building takes up and a lot of other stuff.

Step-by-step explanation:

2 over 3 take 1 over 2

Answers

Answer:

-1/6

Step-by-step explanation:

(2/3-1)/2

(-1/3)/2

-1/6

FOR 3 graders learn and pay attention in class its important Ask me any multiplacation equation or time tables

Answers

Answer:

c

Step-by-step explanation:


Jacob wants to buy a new bike that costs $369. He currently has $150 saved for the bike, and he can add $3 each day to the bike fund. Write an equation and solve to determine how many days it will take Jacob to save enough money for the new bike.

Answers

Answer:

150 + 3x = 369 X= 73

Step-by-step explanation:

X is the amount of days

So 150 minus 369 would be 219

Then take 219/3 and that would mean X equals 73

Peter watches 345 more American movies than Chinese movies. the ratio of Chinese movies to American movies is 4:7 . how many American movies does Peter watch?​

Answers

Peter watches 805 American movies and 460 Chinese movies.

Let x represent the number of American movies and y represent the number of Chinese movies and let z represent the total number of movies.

Since he watches 345 more American movies than Chinese movies. Hence:

x = y + 345

x - y = 345    (1)

Also:

x + y = z

x + y - z = 0  (2)

The ratio of Chinese movies to American movies is 4:7. Hence:

(4/11)z = y

-y + (4/11)z = 0   (3)

Solving equations 1, 2, and 3, simultaneously gives:

x = 805, y = 460 and z = 1265

Hence, Peter watches 805 American movies and 460 Chinese movies.

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What is the dividend when the divisor is 8 and the quotient is 96 with a remainder of 3?
dividend:
Explain how you found the dividend.

Answers

Answer:

13

Step-by-step explanation:

13÷8=96r3 आओऋअःनबभसजहलव

The required dividend would be 765 when the divisor is 8 and the quotient is 96 with a remainder of 3.

What is the Quotient?

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

Let the required dividend would be x

The divisor is 8 and the quotient is 96 with a remainder of 3 which is given in the question

As per the given question, the solution would be as:

⇒ x ÷ 8 = 96 r3

⇒ x  + 3 = 96 × 8

⇒ x + 3 = 768

⇒ x = 768 - 3

⇒ x = 765

Therefore, the required dividend would be 765.

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cody spent 3 hours and 5 minutes looking for his missing cat if he finally found it at 7:35 what time was it when he originally started​

Answers

Answer:

4:30

Explanation:

Three hours before 7:35 is 4:35, but you also have to subtract the extra 5 minutes to make it 4:30

Enter an algebraic expression for the word expression. The quotient of -1 and y​

Answers

Answer:

Step-by-step explanation:

-1/y

ax2+bx+c=0 is not a linear equation. Discuss the reason ​

Answers

Answer:

Step-by-step explanation:

a linear equation is of degree 1.

It is of degree 2 so it is not a linear equation.

the perimeter of a rectangle is 20cm. if the breadth of the rectangle is 2cm what is it's area

Answers

Answer:

perimeter =20cmbreadth=2cmlength=?

we know that

perimeter =2*(l+b)

20=2*(l+2)

20=2l+4

2l=20-4

2l=16

l=16/2

l=8

What are complex integers ?

Answers

Answer:

In mathematics, a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol, called the imaginary unit, that satisfies the equation i² = −1. Because no real number satisfies this equation, i was called an imaginary number by René Descartes.

Step-by-step explanation:

Complex Integer

(or Gaussian integer), a number of the form a + bi, where a and b are integers. An example is 4 – 7i. Geometrically, complex integers are represented by the points of the complex plane that have integral coordinates.

Complex integers were introduced by K. Gauss in 1831 in his investigation of the theory of biquadratic residues. The advances made in such areas of number theory as the theory of higher-degree residues and Fermat’s theorem through the use of complex integers helped clarify the role of complex numbers in mathematics. The further development of the theory of complex integers led to the creation of the theory of algebraic integers.

The arithmetic of complex integers is similar to that of integers. The sum, difference, and product of complex integers are complex integers; in other words, the complex integers form a ring.

Answer:

An immediate consequence of the definition of arithmetical operations on complex numbers is that the sum, the difference, and the product of two or more complex numbers.

Step-by-step explanation:

se quiere construir una casa en 10 dias 10 obreros trabajando 10 horas si se incrementa 2 obreros pero se disminuye 2 horas ¿en cuantos dias se acabaria la casa?

Answers

se necesitarían 14 días para construir la casa

What is the value of -[-(-7)]?

Answers

Answer:

-7 is the correct answer

-7 is the correct answer

Please help with this question.

Answers

Answer:

x=52º

Step-by-step explanation:

A triangle's angles are equal to 180º.

Given the opposite angle to H is 66º, we can find the opposite angle of angle I. The opposite angle of angle K is 62º, assuming that it is equivalent to the opposite angle of angle I we can solve for x.

66+62+x=180

Add 66 and 62.

128+x=180

Subtract 128 from both sides of the equation.

x=52

Angle x is equal to 52º.

Hope this helps :)

PLZ HELP!!

What is the slope of this line?

Enter your answer as a whole number or a fraction in simplest form in the box.

Answers

Answer:

The slope of this line is 1/4

Step-by-step explanation:

this is because the line has a rise of one and a run of 4. It is positive because y increases as x increases.

Answer: 3 over 12 or 1 over 4

Step-by-step explanation:

From the first point to the second you have to count up 1 and over 4, to get to the third point from the first it’s up 3 and over 12. This is the easiest method for me but there are others

 WILLL GIVE 100 points
Use the Polygon tool to draw an image of the given polygon under a dilation with a scale factor of 1/3 and center of dilation at (0, 0) .

The points of the polygon =(3,3) (0,3) (6,-6) (9,6)

Image attached of the polygon

Answers

Answer:

The image of the dilated polygon is attached below

Transformation is the movement of a point from the initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

Dilation is the increase or reduce in size of a figure by a factor k. If a point A(x, y) is dilated by a factor k about the origin, the new point is A'(kx, ky).

Let us assume that the polygon has vertices at A(0,0), B(3, 3) and C(-3, 3). If the polygon is dilated by a scale factor of 1/3 and center of dilation at ​(0, 0)​, the new vertices is at:

A'(0,0), B'(1, 1) and C'(-1, 1)

The graph of the polygon is attached.

Drag steps and expressions into place to explain and show how to evaluate x⋅y for x=3 and y=9.

Answers

your pics not loading in

Answer:

1. Substitute 9 for y..............................3 x y

2.  Substitute 3 for X .......................................3x 9

3.   multiply ................................... 27                                        

Step-by-step explanation:

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