Find the solution of this system of equations -x-4y=-37 -2x-5y=-53

Answers

Answer 1

Answer:

The solution in point form is (9,7) and the equation would be x+9, y=7

Step-by-step explanation:

By using moving the -4y to the right side and by flipping the signs you can turn the equation -x-4y=-37 into x=37-4y.

With this new equation you can use the substitution method and replace the x in -2x-5y=-53 with 37-4y, making it look like this: -2(37-4y)-5y=-53.

Then you solve for y getting y=7.

With the value of y, you can plug that into the equation x=37-4y so it will look like x=37-4(7)

Then you solve for x getting x=9

And with that you get the point (9,7)


Related Questions

Will mark brainliest.
3x+2.4 >_ 3.0
Answer X >_0.2

Answers

Answer:

x < -1.8

Step-by-step explanation:

First, subtract 2.4 from each side, you will get 3x > -5.4

Second, divide by 3 on both sides, this will make the > turn into <.

Finally you will end up with x < -1.8.

Mark brainliest plz!

Answer:

The answer to 3x+2.4 > 3.0 is x > 0.2

Step-by-step explanation:

La altura de un trapecio isósceles es de 4 cm, la suma de las medidas de las bases es de 14 cm y los lados oblicuos miden 5 cm. Averigua las medidas de las bases del trapecio.

Por favor, necesito ayuda.

Answers

Teorema de Pitagoras a^2 + b^2 = c^2
4^2 + b^2 = 5^2
16 + b^2 = 25
- 16. -16
b^2 =. 9
b = 3

Si el fondo base mide mas que el superior base, miden 14 (fondo) y 14 - 3 (izquierda) -3 (derecho) = 8

Which of the following would be the best example of parallel lines in the real world?
O A. The lines formed on a windowpane
O B. A four-way stop at an intersection
O C. The northbound and southbound lanes on a straight highway
O D. A bridge extending over a river

Answers

C

Because their on a straight highway and the lines go up and down (north and south) and parallel lines is a set of straight lines

Final answer:

The northbound and southbound lanes on a straight highway are the best example of parallel lines, as they never intersect and stay equidistant from each other, fulfilling the criteria for parallelism in geometry which is the option c.

Explanation:

The best example of parallel lines in the real world would be C. The northbound and southbound lanes on a straight highway. In mathematics, parallel lines are two lines in the same plane that do not meet; they stay the same distance apart over their entire length. When we look at the northbound and southbound lanes on a straight highway, they are designed to be straight and run alongside each other without crossing, making them a practical example of parallel lines.

It is important to understand that parallel lines have several key features. They are always the same distance apart (equidistant), and they never intersect or cross each other. This principle is seen in the highway lanes, which must stay separate to facilitate traffic in opposite directions.

To contrast, other options like A. The lines formed on a windowpane may not necessarily be parallel, B. A four-way stop at an intersection involves intersecting lines, and D. A bridge extending over a river can be a single line or may curve, which does not fit the definition of parallel lines.

Given: m∠AOB = 35°, m∠BOC = 50°. Find: m∠FOD.

Answers

Answer:

∠FOD = 85°

Step-by-step explanation:

∠AOC = ∠AOB + ∠BOC = 35° + 50° = 85°

∠AOC and ∠FOD are opposite angles and congruent, hence

∠FOD = 85°

Which term gives the horizontal length of one cycle of a periodic function

Answers

Answer:

Period, but I have to add more characters so it'll let me post this answer.

Period gives the horizontal length of one cycle of a periodic function as 2π.

Given that,
To determine which term gives the horizontal length of one cycle of a periodic function.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In the periodic function 1 period is consist of 2π on the horizontal axis, so, the period represents the horizontal length of the periodic function.

Thus, Period gives the horizontal length of one cycle of a periodic function as 2π.

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The diagram below shows a square inside a regular octagon. The apothem of the octagon is 13.28 units. To the nearest square unit, what is the area of the shaded region?

Answers

463 square units. ok

Answer:

The correct option is:  A.  463 square units.

Step-by-step explanation:

According to the given diagram, the side length of the regular octagon is 11 units.

So, the perimeter[tex](p)[/tex] of the octagon [tex]=(11\times 8)units= 88\ units[/tex]

The apothem[tex](a)[/tex] of the octagon is 13.28 units.

So, the area of the octagon:  [tex]A=\frac{1}{2}pa=\frac{1}{2}(88)(13.28)=584.32\ units^2[/tex]

Now, the side length of the inside square is 11 units. So, the area of the square  [tex]=(11)^2 =121\ units^2[/tex]

Thus, the area of the shaded region [tex]=(584.32-121)units^2=463.32\ units^2 \approx 463\ units^2[/tex]

Simplify 5 – 2x – 3 + x.

Answers

Hey there!

All we have to do is combine like terms. Therefore, your final answer would be 2 - x

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

The expression 5 - 2x - 3 + x simplifies by combining like terms: constants 5 - 3 = 2 and variable terms -2x + x = -x, resulting in 2 - x.

To simplify the expression 5 \'u2013 2x \'u2013 3 + x, we combine like terms. The like terms in this case are constant numbers and the terms with the variable x.

First, combine the constants 5 and -3:

5 - 3 = 2

Next, combine the variable terms -2x and +x:

-2x + x = -x

Therefore, the simplified expression is:

2 - x

Please help me need before Monday

Answers

Answer:

D 13

Step-by-step explanation:

(b^4)^4         b^5 * b^x

-------------- = ----------------

b^2                 b^4

We know that a^c^d = a^ (c*d)

b^(4*4)         b^5 * b^x

-------------- = ----------------

b^2                 b^4

b^16         b^5 * b^x

-------------- = ----------------

b^2                 b^4

We know that a^ c * a^d = a^ (c+d)

b^16              b^(5+x)

-------------- = ----------------

b^2                 b^4

We know that a^c / a^d = a^ (c-d)

b^(16-2) = b^(5+x-4)

b^14 = b^(1+x)

Since the base is the same, the exponent must be the same

14=1+x

Subtract 1 from each side

14-1 = 1+x-1

13 =x

Humans shed about three million particles of skin every five hours. Humans can shed about fifty thousand particles of skin every five minutes. The approximate number of particles of skin a human can shed in five hours can be written in the form a × 10b, where a is 3 and b is____. The approximate number of particles of skin a human can shed in five minutes can be written in the form a × 10b, where a is 5 and b is ____. Humans shed approximately ____ times more particles of skin in five hours than in five minutes.

Answers

Answer:

for 5 hours: b is 6

for 5 minutes: b is 4

60 times more skin in 5 hours than 5 minutes

Step-by-step explanation:

I think it should be written as a x 10^b, so I'm going to answer it that way.  

3 x 10^6 = 5 times 10^6

   10^6 = 1,000,000, so we have 3 x 1,000,000 = 3,000, 000

5 x 10^4 = 5 times 10^4

   10^4 = 10,000, so we have 5 x 10,000 = 50, 000

For part 3, divide 3 million by 50 thousand to find the scalar multiple

   3,000,000/50,000 = 300/5 = 60

Answer:

The approximate number of particles of skin a human can shed in five hours can be written in the form a × 10b, where a is 3 and b is 6.

The approximate number of particles of skin a human can shed in five minutes can be written in the form a × 10b, where a is 5 and b is 4.

Humans shed approximately 60 times more particles of skin in five hours than in five minutes.

Step-by-step explanation:

In scientific notation, a number can be written in the form, a × 10b, where a is a number that must be greater than or equal to 1, but less than 10, and b is any integer.

First, write the approximate number of particles of skin a human can shed in five hours in scientific notation. This number is three million which can be written in the form a × 10b, where a is 3 and b is 6.

Next, write the approximate number of particles of skin a human can shed in five minutes in scientific notation. This number is fifty thousand which can be written in the form a × 10b, where a is 5 and b is 4.

Then, divide the approximate number of particles a human can shed in five hours by the approximate number of particles a human can shed in five minutes to find out how many times more skin is shed in five hours than in 5 minutes.

Therefore, humans shed approximately 60 times more particles of skin in five hours than in five minutes.

Have a good day.

What is the value of x in the graph below? PLEASE SHOW WORK

Answers

Answer:

Your answer is B.

Step-by-step explanation:

4 x 2 = 8

I know this because 12 / 6 = 2.

Therefore, Sense it is divided by two, you multiply the 4 by 2.

julian currently has a balance of -$10.48 in his checking account. His bank requires him to maintain minimum balance of $20.

Answers

He should put in $30.48 to reach the minimum.

Hope this helps.

With increased concentration, temperature, and pressure, there is also an increased chance that a chemical reaction will occur. What do all these factors have in common?

Answers

Answer:

A chemical reaction will occur

Hope this helps

Love,

Morgan Malice

Answer: increased particle collisions

Step-by-step explanation: Is the correct answer on Edge

Square root of 2y+3=11 what’s the value of y in this equation

Answers

Answer:

y = 32

Step-by-step explanation:

For the given expression √(2y+3) =11, the value of y in this equation is 59.

The given expression is,

√(2y+3) =11

Take square both sides of the equation to eliminate the square root.

This gives us:

(√(2y+3))² = 11²

Simplifying the left side, we have:

2y + 3 = 121

Next, Subtract 3 from both sides to isolate the 2y term:

2y + 3 - 3 = 121 - 3

2y = 118

Finally, Divide both sides by 2 to solve for y:

y = 59

Therefore, the value of y in this equation is 59.

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Is the following shape a rectangle? How do you know?

Answers

Answer:

The correct answer is A.

Step-by-step explanation:

You can see that it's not a rectangle because the aides that are adjacent to are not perpendicular.

Answer:

D

Step-by-step explanation:

:D

A computer is programmed to accept a number, add 4 to it, and then multiply the sum by 5. Ifx represents the number first fed into the machine, and the result of the first run is then fed back into the computer, what will the result of the second run be?

Answers

Answer:

=[{(x+4)*5} + 4] * 5

Step-by-step explanation:

If x is input

Adding 4

=x+4

then multiplying by 5

=(x+4)*5

Giving the result of first run in second will give

=[{(x+4)*5} + 4] * 5

What is the scale factor of the dilation?
1/3
2/3
3/2 3/1

Answers

The scale factor is 1/3

The correct answer is 1/3

:))

The scale factor of the given dilation is 1/3

What is scale factor ?

To change the size of a figure without changing the figure's shape, we use a exact number or factor which is called scale factor.

Dilated figure = Original figure × Scale factor

What is the required scale factor ?

In the diagram,

Co-ordinate of the point V in original triangle is (3, - 6)

Co-ordinate of the point V' in dilated triangle is (1, -2)

We know that, if we multiply scale factor to the original co-ordinate then we get dilated co-ordinate.

Here, if we multiply 1/3 to the original co-ordinate V(3, - 6) then we get the dilated co-ordinate V' (3/3, -6/3) , i.e. V'(1, -2)

So, the scale factor is 1/3.

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Luana wants to buy a pedometer. The pedometer originally sold for $64.50. It is now on sale for off. Luana also uses a coupon to get an additional 40% off the discounted price. What is the final price of the pedometer?

$28.38

$34.83

$58.05

$42.57

Answers

Answer:

The final price is $34.83

Step-by-step explanation:

we know that

1) The original price is $64.50

2) Is now on sale for 1/10 off

so

the new price is

$64.50(1-0.10)=$58.05

3) Get an additional 40%

$58.05(1-0.40)=$34.83

please help with explanation​

Answers

Answer:

m = 1/3

Step-by-step explanation:

The equation of a straight line is given by the equation of the form;

y = mx+c

The slope of the line is simply the coefficient of x in the equation, m in this case. The given equation can be re-written as;

y = 1/3 x + 4

The coefficient of x is 1/3 which is also the slope.

I need help with this question

Answers

Answer:

294.6 earth years

Step-by-step explanation:

You only need to multiplied by 10

Best regards

Answer:

C

Step-by-step explanation:

multply by 10

Emilie draws a circle with a diameter of 10 inches.Ethan draws a circle with a diameter that is half as long as the diameter of Emilie's circle.How will the circumference of Ethan's circle compare with the circumference of Emilie's circle?Explain.​

Answers

Answer:

The circumference of Ethan's circle is half the circumference of Emilie's circle

Step-by-step explanation:

we know that

Emilie's circle

[tex]D=10\ in[/tex]

The circumference is equal to

[tex]C=\pi D[/tex]

[tex]C=\pi (10)[/tex]

[tex]C=10\pi\ in[/tex]

Ethan's circle

[tex]D=10/2=5\ in[/tex]

The circumference is equal to

[tex]C=\pi D[/tex]

[tex]C=\pi (5)[/tex]

[tex]C=5\pi\ in[/tex]

therefore

The circumference of Ethan's circle is half the circumference of Emilie's circle

Answer: The circumference of Ethan's circle is half the circumference of Emilie's circle

Step-by-step explanation:

I don't know how to do this, help please.

Answers

Answer:

1000 units wide, 300 units is the height

Step-by-step explan

you do 500-(-500) for the wideness, 1000 and for height, 0-(-300) is 300

Help me with this please

Answers

Answer:

Look for where both functions have the same y value. For example, when x = 3 in #7, both are 5. So the solution is (3,5).

Step-by-step explanation:

Each table has two functions. This forms a system of equations. A system of equations is essentially two conditions that must both be met to produce a solution. A solution can be found as where the two equations are equal. In the table, look for where both functions have the same y value for some x. This will be where the values are the same in the same row. This is the solution and is written as an (x,y) point.

7. When x = 3 both functions are 5. The solution is (3,5).

nnnnnnnnnnnnnnnnn



3x -4 = 2

Answers

Answer:

2

Step-by-step explanation:

[tex]\bold{Hey\ there!} \\ \\ \bold{3x-4=2}\\ \bold{First:add\ by\ 4\ to\ your\ sides!}\\ \bold{Like\downarrow}\\ \bold{3-4+4=2+4}\\ \bold{Cancel:-4+4\ because\ it\ = \ 0}\\ \bold{Keep:2+4\ because\ it\ helps\ us\ solve\ for\ our\ answer} \\ \bold{2+4=6} \\ \bold{3x=6} \\ \bold{Second: divide\ by\ 3\ on\ your\ sides!} \\ \bold{Like\downarrow} \\ \bold{\frac{3x}{3}=\frac{6}{3}} \\ \bold{Cancel:\frac{3x}{3}\ because\ it\ gives\ us\ 1} \\ \bold{Keep:\frac{6}{3}\ because\ it\ gives\ us\ the\ answer\ for\ 'x'}[/tex]

[tex]\boxed{\boxed{\bold{Answer:x=2}}}\checkmark\\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

on an airplane, there are two seats on the left side in each row and three seats on the right side. There are 57 seats on the right side of the plane how many seats are on the left side of the plane?

Answers

Answer:

Answer: 38 Seats

Step-by-step explanation:

Evaluate the equation. -8x = -90

Answers

Answer:

[tex]\large\boxed{x=\dfrac{45}{4}=11\dfrac{1}{4}}[/tex]

Step-by-step explanation:

[tex]-8x=-90\qquad\text{divide both sides by (-8)}\\\\\dfrac{-8x}{-8}=\dfrac{-90}{-8}\\\\x=\dfrac{90}{8}\\\\x=\dfrac{90:2}{8:2}\\\\x=\dfrac{45}{4}\to x=11\dfrac{1}{4}[/tex]

What is the actual distance between Saugerties and Kingston? scale: 1 inch=2.5 miles 4 in

Answers

Answer:

The distance between Saugerties and Kingston is 10 miles.

Step-by-step explanation:

4*2.5 = 10.

I need this one done too! Really need help, big brain fart.

Answers

6x2+1<

6x2<-1

=×2<=-1/6 B is the answer

Answer:

6x2+1<

6x2<-1

=×2<=-1/6

Step-by-step explanation:

B is the answer

Please Help!!!!

x 2 - 5x - 14

Answers

Answer:

(x-7)(x+2); x = -2, 7

Step-by-step explanation:

Solve the equation by factoring and setting each factor equal to 0.

The expression x² - 5x - 14 factors into two numbers which multiply to -14 and add to -5. These numbers are -7 and 2. The factors are (x-7)(x+2). Set each equal to 0 and solve.

x-7 = 0

x = 7

x+2 = 0

x = -2

What is the area of medium pizza with 10 inches

Answers

Answer:

A: 25[tex]\pi[/tex]

Step-by-step explanation:

The area for a circle is:

A = [PI*d^2] / 4

Then

A = (25/2)*[tex]\pi[/tex]

Best regards

The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length? A. 12 inches B. 15 inches C. 21 inches D. 40 inches

Answers

Answer: 15 Inches

Step-by-step explanation:Remember that the Perimeter of a rectangle is the distance around it.

So,

    Perimeter = Length + Width + Length + Width

or

     P = 2L + 2W

If P=42 inches and W = 6 inches,

    42 = 2L + 2(6)

    42 = 2L + 12

    30 = 2L              [subtract 12 from both sides]

    15 = L               [divide both sides by 2]

The length (L) is 15 inches.

The length (L) is 15 inches. so the correct option is B.

What is perimeter?

Its the sum of length of the sides used to made the given figure.

It is given that the Perimeter of a rectangle is the distance around it.

Given that the perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches then we need to find the length.

So,

The Perimeter = Length + Width + Length + Width

Let the length of the rectangle = l

the width of the rectangle = w

or P = 2L + 2W

If P=42 inches and W = 6 inches,

42 = 2L + 2(6)

42 = 2L + 12

30 = 2L            

L = 15

Hence, The length (L) is 15 inches.

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