What ordered pair is a solution to
{2y=4x-10}
{-y=4x-1}

Answers

Answer 1
Answer: (1, -3) => x = 1, y = -3

Step-by-Step Explanation:

Lets solve using Elimination Method :-

2y = 4x - 10
-4x = -10 - 2y
=> -4x + 2y = -10 (Eq. 1)

-y = 4x - 1
-4x = -1 + y
=> -4x - y = -1 (Eq. 2)

Subtracting Eq. 2 from Eq. 1 :-

=> 0 + 3y = -9
3y = -9
=> y = -9/3 = -3

Therefore, y = -3

Substitute value of ‘y’ in Eq. 2 :-

-4x - y = -1
-4x -(-3) = -1
-4x + 3 = -1
-4x = -1 - 3
-4x = -4
4x = 4
=> x = 4/4 = 1

Therefore, x = 1

Hence the ordered pair (1,-3) is the Solution to this System of Equations.

Related Questions

96x 3+(9*8) ÷ 126,980 =?

Answers

Answer:

288.000567018 or [tex]3(32x^{3} +\frac{3.8}{126980})[/tex]

Step-by-step explanation:

hope this helps

pls mark brainliest

I need help pleaseeeeee I do not know what to do here

Answers

Answer:

[tex]A = 256[/tex]

Step-by-step explanation:

Since the hexagon is regular, we know that all of the side lengths are equal. We can find the length of the sides by solving for [tex]l[/tex] in the formula for the area of a hexagon:

[tex]A = \frac{3\sqrt{3}}{2}l^2\\384\sqrt{3} = \frac{3\sqrt{3}}{2}l^2\\384 = \frac{3}{2}l^2\\256 = l^2\\16 = l[/tex]

Now that we have the side length, we can find the area of the square:

[tex]A = l^2\\A = 16^2\\A = 256[/tex]

Answer:

256 in²

Step-by-step explanation:

Area of a Hexagon (To find side length)

A = 3√3 x l² x 1/2384√3 = 3√3 x 1/2 x l²256 = l²l = 16 in

Area of square

Area = (Side length)²Area = (16)²Area = 256 in²

Help with this application of surface area and volume problem? i will reward brainly, this is 10th grade geometry! Any help appreciated! I am really struggling

Answers

Answer: 20.4

Step-by-step explanation:


Cube Root Values
What two whole numbers does 81 lie between

Answers

Answer:

between 4 and 5

Step-by-step explanation:

consider perfect cubes either side of 81 , that is

64 < 81 < 125 , then

[tex]\sqrt[3]{64}[/tex] < [tex]\sqrt[3]{81}[/tex] < [tex]\sqrt[3]{125}[/tex] , that is

4 < [tex]\sqrt[3]{81}[/tex] < 5

If the first number is increased by 7 and the second number is reduced by 6 times, the sum of these numbers is 29.
If the first number is reduced by 5 and the second number is increased 2 times, the difference between the second and first number is 9.
Find these numbers.

Answers

Answer:

First number = 20

Second number = 12

Explanation:

Let the 1st number be x

Let the 2nd number be y

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

Condition 1

[tex]\sf \rightarrow x + 7 + \dfrac{y}{6} = 29[/tex]

[tex]\rightarrow \sf x=-\dfrac{y}{6}+22[/tex]

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

Condition 2

[tex]\rightarrow \sf 2y - (x - 5) = 9[/tex]

[tex]\rightarrow \sf x = 2y -4[/tex]

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

Substitute equations

[tex]\rightarrow \sf -\dfrac{y}{6}+22 = 2y-4[/tex]

[tex]\rightarrow \sf y=12[/tex]

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

Find value of 1st number

[tex]\rightarrow \sf x = 2y - 4[/tex]

[tex]\sf \rightarrow x = 2(12) - 4[/tex]

[tex]\rightarrow \sf x = 20[/tex]

How to solve for b? Do you need another variable?

Answers

Answer:

No there are 180 degrees on a line

Step-by-step explanation:

180

115-

065

65°

Simplify the following fraction WITHOUT USING A CALCULATOR tan 45°.sin 30-cot45°​

Answers

Answer:

tan 45°.sin 30° - cot45°​ = −(1÷2) = −0.5

Step-by-step explanation:

45° Corresponds to (π÷4) which is a remarkable measure

We are all supposed to learn by heart the values of it’s ‘sin’ , ‘cos’ , ‘tan’ and ‘cot’ .

the same apply to 30° (corresponds to (π÷6))

……………………………………………………………

So without a calculator:

tan 45° = 1

cot 45° = 1

sin 30°​ = 1/2

therefore ,

tan 45°.sin 30° - cot45°​ = 1 × (1÷2) − 1 = (1÷2) − 1 = −(1÷2) = −0.5

Guests at a wedding have an appetizer
choice of soup or a salad, an entrée choice
of chicken, steak, or vegetarian, then a
dessert choice of vanilla or chocolate cake.
How many different meals are possible?

Answers

3421880 number of the different meals are possible.

What is the combination?

The arrangement of the different things or numbers in the number of the ways is called as the combination.

It is given that:-

Number of appetizers is 7, the number of entres is 10, and that there's 4 choices of desserts.

So let's take each course by itself. You can choose 1 of 7 appetizers. So we have n = 7 After that, you chose an entre,

so the number of possible meals to this point is

n = 7  x  10 = 70

Finally, you finish off with a dessert, so the number of meals is:

n = 70 x 4 = 280

Therefore the number of possible meals you can have is 280. Note: If the values of 77, 1010 and 44 aren't errors, but are actually correct, then the number of meals is

n = 77 x  1010 x  44 = 3421880

Therefore 3421880 different meals are possible.

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4. Which of the following is a true statement?
A. -4(2x - 3) = -8x - 12
B.-7(4x - 8) = -28x + 56
=
C. 5(3x + 6) = 15x + 6
D. 10-2(x + 5) = -2x + 20

Answers

Answer: B) -7(4x - 8) = -28x + 56

Step-by-Step Explanation:

=> -7(4x - 8) = -28x + 56
On opening the brackets on L.H.S,
= -28x + 56 = -28x + 56
=> L.H.S = R.H.S

Therefore this is a True Statement
B. Is the true statement

How do negative exponents impact the value of a number?​

Answers

Answer:

A positive exponent tells us how many times to multiply a base number, and a negative exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ. For example, 2⁻⁴ = 1 / (2⁴) = 1/16.

please please help!!! see attached questions I WILL VENMO YOU ( i’m not sure if the first one is right)

Answers

Answer:

Your first answer is correct.

Second question: 300 ft.

Step-by-step explanation:

2nd problem, create a proportion.

[tex]\frac{220}{x}=\frac{305}{416} \\305x = 91520\\\frac{305x}{305}= \frac{91520}{305} \\x=300[/tex]

PLEASE HELP ME IF YOU DO you will get the most loyal friend and honest and nicest

Answers

Answer:

Below:

Step-by-step explanation:

1. 2 15/28  

2. 2 7/10  

3. 5/6

4. 1  5/12

5. 2 1/12

please help me!! i'll give brainliest if it's answered w work !!!! thank u im failing this class

Answers

Answer:

the correct answer is C her puppy weighted 20 pounds

Simplify the expression.
-81 ÷ (-9)
Please help

Answers

Answer:

-81/-9

both minus will be cut so

81/9

9

Step-by-step explanation:

the answer is 9

What is the equation of the following line? Be sure to scroll down first to see all answer options .

Answers

Answer:

f

Step-by-step explanation:

your welcome

Which is the graph of f(x) = x^2- 2x + 3?

Answers

Answer:

you didn't give a picture bestie but it'll be kind of money U and it should be up 3 on the graph

Answer for 20 points :)

Answers

Answer:

sorry this question is do not understand

The volume of this rectangular prism is 2,016 cubic millimeters. What is the value of y?

Answers

Answer:

y = 12 mm

Step-by-step explanation:

Volume of a rectangular prism: length × width × height

V = L×W×H

v = 2,016 mm³l = 14 mmw = 12 mmh = y mm

Substitute the values above and solve for y:

2,016 = 14 × 12 × y

2,016 = 168y

2,016/168 = 1395v/168

12 = y

Final answer: 12 mm

Hope this helps!

It is recommended that one fire extinguisher be available for every 6,000 square feet inside a building. a school superintendent is working to determine the number of fire extinguishers needed for a school building that has a floor plan with 132,000 square feet. let the variable x represent the number of fire extinguishers.

Answers

I have no clue maybe I need to be reteach does well XD

This table shows the relationship between x and y.

Answers

The answer is 54.5. Hope this helps!

A cone has a volume of 37.68cm3. If the height of the cone is 9cm what is the radius of the cone's
base?
cm
Radius:
(Use 3.14)

Answers

Answer:

[tex]2cm[/tex]

Step-by-step explanation:

Volume of a cone= [tex]\pi r^2\frac{h}{3}[/tex]

Substitute: [tex]37.68cm^3=\pi r^2(\frac{9}{3})[/tex]

[tex]37.68cm^3=\pi r^2(3)[/tex]

[tex]37.68cm^3=\pi r^2(3)[/tex] Divide by 3

[tex]12.56cm=\pi r^2[/tex] Divide by pi

[tex]4cm=r^2[/tex]

[tex]r=\sqrt{4}[/tex]

[tex]r=2[/tex]

The polynomial function f(x) = 3x5 – 2x2 7x models the motion of a roller coaster. the roots of the function represent when the roller coaster is at ground level. which answer choice represents all potential values of when the roller coaster is at ground level? begin by factoring x to create a constant term. 0, plus-or-minus one-seventh, plus-or-minus1, plus-or-minus three-sevenths, plus-or-minus3 0, plus-or-minus one-third, plus-or-minus1, plus-or-minus seven-thirds, plus-or-minus7 plus-or-minus one-seventh, plus-or-minus1, plus-or-minus three-sevenths, plus-or-minus3 plus-or-minus one-third, plus-or-minus1, plus-or-minus seven-thirds, plus-or-minus7

Answers

The root of the polynomial function f(x) = 3x⁵ - 2x² + 7x is 0

How to determine the roots of the equation?

The polynomial function is given as:

f(x) = 3x⁵ - 2x² + 7x

Set the function to 0

3x⁵ - 2x² + 7x = 0

Factor out x

x(3x⁴ - 2x + 7) = 0

Divide both sides by (3x⁴ - 2x + 7)

x = 0

Hence, the root of the equation is 0

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Answer:

B

Step-by-step explanation:

cause math

Trigonometric ratio
adjacent= 12 cm
angle= 22°
find the opposite side by using tan.​

Answers

Given:Adjacent= 12 centimeters Opposite side ( x )Angle degrees= 22To find:

The opposite side of the right angle triangle by using Tan.

Solution:

[tex]tan \: 22 = \frac{x}{12} [/tex]

[tex]x = 12 \times tan \: 22[/tex]

[tex]x = 4.8 \: cm[/tex]

Therefore, the opposite side of the right angle triangle is 4.8 centimeters

x/12

x= 12*tan 22

x= 4.8 cm

hope this helps

Convert the fractions to decimals ​

Answers

Answer:

0.333333...

Step-by-step explanation:

2/6 = 1/3 = 0.33333...

You can divide on paper or on a calculator 2÷6 or 1÷3 to find this. If you are allowed to use a calculator and your calculator has F>D and D>F buttons they are for converting decimals and fractions back and forth. On paper, you are doing like a long division calculation. Put 2 inside the little dividing frame and put 6 on the outside. Or 1 inside and 3 outside. See image.

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

Explanation:

[tex]\bf Blue \ Color \ Line : y = x^2[/tex]

If you are going to make it open from downwards. The function should be negative : -(x)²If the graph moves 10 units downwards. : y = (x)² - 10If you are going to move the graph horizontally 2 units left. : y = (x+ 2)²

When added all together:

[tex]\bf Black \ color \ Line: y=-\left(x+2\right)^{2}-10[/tex]    =  Final answer.

What is the value of y on question 7

Answers

The value of y in the given question will be y = -2x  +  26.

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The value of y will be calculated as:-

Given the equation :-

4y  -  2x  =  12

y =  x / 2 + 12

Now for two perpendicular lines, the product of the intercepts is -1

m₁  x  m₂  = -1

So the new intercept will be

m₂ = -1 / m₁ = -1 / 1 / 2 = -2

So new equation will be

y  =  -2x  +  c

2 = -2  x  12  +  c

c  =  26

So the equation will be:-

y =  -2x  +  26

Therefore the value of y in the given question will be y = -2x  +  26.

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What is the rate of change from 4 to 8?

Answers

Answer:

the rate of change from 4 to 8 is 4

Step-by-step explanation:

you can find this by subtracting the first number from the secone number and if the two numbers were in a diffrent order being 8 and 4 the answer would still be 4 because when you subtract 8 from 4 you ger-4 but with rate of change you always use the absolute value

hope this helped

2. What is the new correction equation using the Equal Values Method for the following system below?
y=2x+1
y = 6-3x

Answers

Answer:

  new equation: 2x +1 = 6 -3x

  solution: (x, y) = (1, 3)

Step-by-step explanation:

The Equal Values Method of solving a system of equations has you equate the two expressions that are equal to the same variable or expression. Here, we have two expressions that are equal to y.

equation

The next step is to set them equal to each other:

  2x +1 = 6 -3x

__

solution

This equation can be solved by adding 3x -1 to both sides to get ...

  5x = 5

Then dividing both sides by 5 gives ...

  x = 1

Substituting into either expression for y gives its value:

  y = 2x +1 = 2(1) +1 = 3

The solution to the system is (x, y) = (1, 3).

Using two or more complete sentences, describe how to find the general rule for the geometric sequence with a4=3 and a6=3/16. In your final answer, include all of your calculations.

Answers

The steps for the geometry sequence with the help of two terms of the sequence, make a system of equation and solve them to find common ratio and first term.

What is geometric sequence?

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

[tex]a_n=a_1r^{n-1}[/tex]

Here, a₁ is the first term of the sequence and r is the common ratio.

The fourth term and sixth term given in for the geometric sequence are 3 and 3/16. For the fourth term,

[tex]a_4=a_1r^{4-1}\\3=a_1r^3[/tex]             ...1

For the sixth term,

[tex]a_6=a_1r^{6-1}\\\dfrac{3}{16}=a_1r^5[/tex]           ....2

On solving, we get,  a₁=192 and r=1/4. Thus, the geometric sequence can be given as,

[tex]a_n=a_1r^{n-1}\\a_n=192\times\dfrac{1}{4}^{n-1}[/tex]

Hence, the steps for the geometry sequence with the help of two terms of the sequence, make a system of equation and solve them to find common ratio and first term.

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A motor boat traveled 18 miles down a river in 2 hours but took 4.5 hours to return upstream. Find the rate of the motor boat in still water and the rate of the current.

Answers

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

now, going either way the boat travelled the same 18 miles.

[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&18&b-c&4.5\\ Downstream&18&b+c&2 \end{array}\hspace{5em} \begin{cases} 18=(b-c)4.5\\\\ 18=(b+c)2 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{using the 1st equation}}{18=(b-c)4.5}\implies \cfrac{18}{4.5}=b-c\implies 4=b-c\implies \boxed{4+c=b} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{18=[~(4+c)+c~]2}\implies \cfrac{18}{2}=4+2c\implies 9=4+2c \\\\\\ 5=2c\implies \blacksquare~~ \cfrac{5}{2}=c ~~\blacksquare\hspace{5em}4+\left( \cfrac{5}{2} \right)=b\implies \blacksquare~~ \cfrac{13}{2}=b ~~\blacksquare[/tex]

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