Two linear equations are represented by using the tables below.

A 2-column table with 4 rows is titled Equation A. Column 1 is labeled x with entries negative 5, negative 2, 0, 1. Column 2 is labeled y with entries negative 4, negative 1, 1, 2.
A 2-column table with 4 rows is titled Equation B. Column 1 is labeled x with entries negative 6, negative 3, 3, 6. Column 2 is labeled y with entries negative 4, negative 2, 2, 4.

The data points for equation A are plotted on the coordinate plane below and are connected by using a straight line.

On a coordinate plane, a line goes through points (negative 5, negative 4), (negative 2, negative 1), (0, 1), (1, 2).

What is the solution to the system of equations?
(–6, –4)
(–5, –4)
(–3, –2)
(0, 1)

Answers

Answer 1

Answer:

(–3, –2)

Step-by-step explanation:

A linear equation is an equation in the form y = mx + b, where m is the slope of the line and b is the y intercept.

Equation A is represented by the points:

x:    -5      -2        0          1

y:    -4       -1         1           2

Equation A can be gotten by picking any two pair of points. Let us use (-5, -4) and (0, 1). We use this formula:

[tex]y- y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-4)=\frac{1-(-4)}{0-(-5)} (x-(-5))\\\\y +4=x+5\\\\y=x+1[/tex]

Equation B is represented by the points:

x:    -6      -3        3          6

y:    -4       -2         2          4

Equation B can be gotten by picking any two pair of points. Let us use (-6, -4) and (3, 2). We use this formula:

[tex]y- y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-4)=\frac{2-(-4)}{3-(-5)} (x-(-6))\\\\y +4=\frac{2}{3}( x+6)\\\\y+4=\frac{2}{3} x+4\\\\y=\frac{2}{3}x[/tex]

The solution to the system of equations is gotten by solving y = x + 1 and y = (2/3)x simultaneously.

Substitute y = (2/3)x in y = x + 1:

(2/3)x = x + 1

2x = 3x + 3

x = -3

Put x = -3 in y = (2/3)x

y = (2/3) (-3) = -2

Hence (-3, -2) is the solution

Answer 2

Answer:

(-3,-2)

Step-by-step explanation:


Related Questions

If Mr. Jones buys paddles for $35 instead of $50 and uses the same percent increase on price how many paddles most Mr. Jones sell for the total paddle sales before tax and to be at least $250 explain your answer

Answers

Answer: 4 paddles

Step-by-step explanation:

Mr. Jones buys the paddle for $35 and sells at 180% of the purchase price:

= 35 * 180/100

= $63

For the number of paddle sales to be at least $250, he should sell:

= 250/63

= 3.97

= 4 paddles

Round 0.485 correct to 1 significant figure

Answers

Answer:

0.5

Step-by-step explanation:

the first significant figure is the non zero

A company prints 4580 copies of the same book. The number of pages in the book, including the cover pages, is 79. What is the total number of pages, including the cover pages, that the company prints?

Answers

Answer: ‭361,820‬ pages

Step-by-step explanation:

The company prints 4,580 copies of the same book and it has 79 pages including cover pages.

The total number of pages the company prints therefore is:

= 4,580 * 79

= ‭361,820‬ pages

Find the value of – 6 – (-10) + (-2)

Answers

Answer 6

Step-by-step explanation:

= -6 - (-10 + (-2))

= -6 - (-12).

= -6 + 12

= 6

Help help help brisnly

Answers

Answer:

5/6

Step-by-step explanation:

Find common denominator,6.

Multiply the fraction to be able to have the denominator of each fraction to be 6.

(If you multiply the denominator by a number then you need to multiply the numerator by the same number.)

New problem 4/6+1/6

5/6

Hope this helps!! :)

(It may be a bit confusing but I tried my best)

Brainliest?!?!

Stay safe and have a wonderful day/night/afternoon!!!

fully simplify 14xy^4(-14y)​

Answers

The answer would be ~-196xy^5~

Hope this helps

Have a great day/night

anyone please help me i forgot to hand in my hw on the due date plzz anyone help me with those questions thank you!​

Answers

Answer:

a)

(i) 43, 56

(ii) -1,3

b)-27

c) -21 +4n

Step-by-step explanation:

For a,i, you can see that it decreses by 7 each time so you subtract 7 from 50 to get 43, then you subtract 7 from that to get 56. For a,ii it increases by 4 each time so you add 4 to -5 to get -1, then add 4 to that to get 3. For b, because it is the 15th term you are looking for, you can plug 15 into the equation as n so 78-7n to 78- 7*15, 78-105, -27. For c, you know that each time it increases by 4, so you know you add 4n, and then for the base, you have to find the term before -17 so you subtract 4 to get -21. Put it together and get -21+4n.

1×9=9 wish property is this

Answers

Answer:

identity property of multiplication

Step-by-step explanation:

Answer:

it is Multiplicative Identity Property

If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of the transversal is

Answers

Answer:

Equal

Step-by-step explanation:

If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of the transversal is equal

what is (√7)² in simplest form?

Answers

Answer:

14?

Step-by-step explanation:

So sorry if I got it wrong-

The values of m and n are whole numbers greater than 1. Which is true about the quotient

Answers

Answer:

"The expression will always equal m" is true about the quotient of [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex]

Step-by-step explanation:

Let us solve the question

∵ The expression is [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex]

→ In the division of fractions, we change the division to multiplication

   and reciprocal the fraction after the division sign

∵ The reciprocal of  [tex]\frac{1}{n}[/tex] is [tex]\frac{n}{1}[/tex]

∴  [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex] =  [tex]\frac{m}{n}[/tex] × [tex]\frac{n}{1}[/tex]

→ In the multiplication of fractions, we can simplify the terms in

    the numerators by the terms in the denominators

∵ There is n in the numerator and denominator

∴ Cancel n up and down

∴  [tex]\frac{m}{n}[/tex] × [tex]\frac{n}{1}[/tex] = [tex]\frac{m}{1}[/tex]

∴  [tex]\frac{m}{n}[/tex] × [tex]\frac{n}{1}[/tex] = m

∴  [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex] = m

The quotient is m

The expression will always equal m

PLZ HELP vgffdhstudfhgxd

Answers

Answer:

1/5

Step-by-step explanation:

To simplify, we can first divide the top and bottom by 10:

2/10

Then by 2:

1/5

1/5 is the correct answer

You roll a 6-sided die twice. What is P(1, less than 3)? Simplify
your answer and write it as a fraction or whole number.

Answers

Answer:

1/18

Step-by-step explanation:

Probability of 1 is 1 out of 6:

1/6

Probability of less than 3 is:

1 or 2 out of 6 = 2/6 = 1/3

P(1, less than 3) is

1/6* 1/3 = 1/18

Total sample space

{1,2,3,4,5,6}

So

P(1)

1/6

P(<3)

2/6=1/3

P(1,<3)

1/6×1/31/18

The sum of two numbers is 81 the difference of the same two numbers is 33 write a system of equations to represent this situation then find the numbers

Answers

Answer:

48

Step-by-step explanation:

How many centimetres are there
in 2m 10cm​

Answers

Answer:

Step-by-step explanation:

we know that

1m=100 cm

2m=200 cm

2 m and 10 cm= 210 cm

Answer:

1metre has a 100 cm

So 100 x 2=200cm

200cm|+10cm=210

2m10cm=210 cm

Step-by-step explanation:

How do I fine x to the nearest tenth ??

Answers

Answer:

x = 13.6

Step-by-step explanation:

Here, we want to find the value of x

to find the value of x. we are going to use the sine rule

It states that the ratio of the sine of an angle to the measure of the side facing the angle is fixed for a triangle

In this case;

11/ sin 27 = x/ sin 34

x = 11 sin 34/sin 27

x = 13.6

Please give me the correct answer ​

Answers

The answer is the second one

A club logo is made from a square and a trapezium.
Calculate the area of the logo.
4cm
2cm
8cm

Answers

Answer:

hi im from another country see ya ... your country is amazing

Step-by-step explanation:

.............. Help! Easy math practice

Answers

9514 1404 393

Answer:

  2 11/28

Step-by-step explanation:

  6 1/7 = 3 3/4 + p

  p = 6 1/7 - 3 3/4 = 5 32/28 - 3 21/28 = (5 -3) +(32-21)/28

  p = 2 11/28

Answer:

2 11/28

Step-by-step explanation:

line a passes through points (5,8) and (10,6). line b is perpendicular to a. what is the slope of line b?

Answers

Answer:

2/5

Step-by-step explanation:

First, we need to find the slope of line a. To do this, we subtract the two y values and then the two x values and divide these two differences.

10-5=5

6-8=-2

5/-2= -5/2

A perpendicular line's slope will always be equal to the negative reciprocal of the intersects. So, we just flip the numerator and denominator and then add a negative to our first slope to get the slope of line b.

-2/5

--2/5

2/5

Have a wonderful day! :D

Write an expression for the slope of the line in the graph using the letters u,v,s, and t.

Answers

Answer:

We conclude that the slope between (s, t) and (u, v):

slope = [v - t] / [u - s]

Step-by-step explanation:

We can find the slope between two points (x₁, y₁) and (x₂, y₂) using the formula

slope =  [y₂ - y₁] / [x₂ - x₁]

In our case, the two points are

(x₁, y₁) = (s, t)

(x₂, y₂) = (u, v)

Thus, the slope between (s, t) and (u, v)

slope = [v - t] / [u - s]

Therefore, we conclude that the slope between (s, t) and (u, v):

slope = [v - t] / [u - s]

Find the area of the semicircle
Either enter an exact answer in terms of * or use 3.14 for and enter your answer as a decimal
units

Answers

Answer:

4.4

Step-by-step explanation:

Factorise x^2+13x+12

Answers

Step-by-step explanation:

Given

x² + 13x + 12

= x² + ( 12 + 1) x + 12

= x² + 12x + x + 12

= x ( x + 12 ) + 1 ( x + 12)

= (x + 12) (x + 1)

Hope it will help :)❤

HELLO!★ [tex]x^{2} + 13x + 12[/tex]= [tex]x^{2} + ( 12 + 1 ) x + 12[/tex]= [tex]x^{2} + 12x + x 12[/tex]= [tex]x (x+12)+1(x+12)[/tex]= [tex](x+12) (x+1)[/tex]

´✰ उपलब्धियों ´´

Michael has 3 quarters, 2 dimes, and 3 nickels in his
pocket. He randomly draws two coins from his pocket,
one at a time, and they are both dimes. He says the
probability of that occurring is because 2 of the 8
coins are dimes. Is he correct? Explain.

Answers

My Answer:

The events are dependent.

The size of the original sample space is 8. It changes to 7 after the first dime is chosen.

The probability of picking the first dime is 2/8.

The probability of picking the second dime is 1/7

To find the probability of the compound event, multiply the probabilities.

I got it correct, on edge 2020/2021

Answer:

No. Choosing two dimes are dependent events. The probability of choosing the first dime is 14 and the probability of choosing the second dime is 17 . The probability that both coins are dimes is (14)(17) = 128.

Hope this helps and the other guys is right :)

Step-by-step explanation:

Explain the importance of putting your data set in order from least to greatest

Answers

Answer:

The mean may not be a fair representation of the date

Step-by-step explain the average is easily influenced by outliers (very small or large values in the data set that are not typical). The median is another way to measure the center of a numerical data set. ... Thus, the median is truly the middle of the data set.

Guys I need 1 more thing to do!
Once I am done then the 50 giveaway will start!
:D

Answers

What do you need to do? I can’t see the question so I don’t know if you need help on anything

Alright! Will look towards it if it didn’t start yet!

4(x - 7) = 4x - 28

what property

commutative
identity
associative
distributive

Answers

Answer:

0

Step-by-step explanation:

4

(

7

)

=

4

2

8

4(x-7)=4x-28

4(x−7)=4x−28

Solve

1

Distribute

4

(

7

)

=

4

2

8

4

2

8

=

4

2

8

2

Add

2

8

28

28

to both sides of the equation

4

2

8

=

4

2

8

4

2

8

+

2

8

=

4

2

8

+

2

8

3

Simplify

Add the numbers

Add the numbers

4

=

4

4

Subtract

4

4x

4x

from both sides of the equation

4

=

4

4

4

=

4

4

5

Simplify

Combine like terms

Combine like terms

0

=

0

Result

0

=

0

The input is an identity: it is true for all values

Answer:

associative

4 is associated in the bracket

=( 4x-7 )


Morgan knows that 3 gallons of water weigh 25 pounds.
How much do 10 gallons of water weigh?

Answers

The full answer would be 83.454 but you can just say 83 pounds. Both are right

HELP, DUE TODAYY! photo attached

Answers

Answer:

UGHH SOMONE ANWER MY QUESTIONSS

Step-by-step explanation:

A student measures the length of her dress to be 60 inches long but the actual length of her dress is 65 inches long. What is the percent error of this student

Answers

Answer:

8.333% error

Step-by-step explanation:

using percent error formula

(actual - expected) / expected *  100 %

actual = 65

expected = 60

plug

(65-60)/60 * 100%

= 8.33 %

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