These tables of ordered pairs represent some points on the graphs of lines s and t.

Which system of equations is represented by lines s and t?


5x−2y=−157x+4y=20


3x+5y=−185x−9y=25


x+4y=−89x−y=21


2x−y=−142x+y=6

These Tables Of Ordered Pairs Represent Some Points On The Graphs Of Lines S And T. Which System Of Equations

Answers

Answer 1

The equation of line S is y = 2x + 14 while that of line T is y = -2x + 6.

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

For line s, using the points: (-5, 4) and (4, 22). Hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-4=\frac{22-4}{4-(-5)} (x-(-5))\\\\y-4=2(x+5)\\\\ y=2x+14[/tex]

Line T passes through the points (-4, 14) and (5, -4). Hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-14=\frac{-4-14}{5-(-4)} (x-(-4))\\\\y-14=-2(x+4)\\\\ y=-2x+6[/tex]

Hence the equation of line S is y = 2x + 14 while that of line T is y = -2x + 6.

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Related Questions

how can you simplify 24 to 96 ​

Answers

Step-by-step explanation:

Reduce 24/96 to lowest terms

Find the GCD (or HCF) of numerator and denominator. GCD of 24 and 96 is 24.

24 ÷ 2496 ÷ 24.

Reduced fraction: 14. Therefore, 24/96 simplified to lowest terms is 1/4.

Step-by-step explanation:

Here is an Explanation

Reduce 24/96 to lowest terms

The simplest form of

24

96

is

1

4

.

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 24 and 96 is 24

Divide both the numerator and denominator by the GCD

24 ÷ 24

96 ÷ 24

Reduced fraction:

1

4

Therefore, 24/96 simplified to lowest terms is 1/4.

maya used a drwaing to divide 86 she made groups of 17 with 1 left over. Draw a picture to determine how many groups may made.

Answers

Check the picture below.

The number of groups that may make will be 5.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Maya utilized a drawing to partition 86 she made gatherings of 17 with 1 remaining over.

Then the number of the groups that may make will be given as,

⇒ (86 - 1) / 17

Simplify the expression, then we have

⇒ (86 - 1) / 17

⇒ 85 / 17

⇒ 5

The number of groups that may make will be 5.

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Find The slope of the line represented by the points in the table (use your notes to get the formula it needed).
4.
Number
of Hours
1
2.
3
4
Cost
($)
$17
$29
$41
$53

Answers

the answer is 53 out of all of them

Lila collected 116gallons of honey. After using some of the honey she collected for baking, Lila found that she only had 34 gallon of honey left. How much honey did she use for baking?

Answers

Answer: She would've used 82 gallons

Mrs. Salcido cut a small birthday cake into 6 equal pieces for 6 children one child was not hungry, so she gave the birthday boy a piece. draw and label a tape diagram to show how much each of the 5 children receive. need answers ASAP for 93 point

Answers

Answer:

Is there a reference? there's insufficient information.

Step-by-step explanation:

A line of a slope of 8 passes through the point (-6,4). What is its equation in point slope form?

Answers

Answer:

[tex]\huge\boxed{y-4=8(x+6)}[/tex]

Step-by-step explanation:

The equation of a line in the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]m-slope\\\\(x_1;\ y_1)-point[/tex]

We have:

[tex]m=8\\\\(-6;\ 4)\to x_1=-6;\ y_1=4[/tex]

Substitute:

[tex]y-4=8(x-(-6))\\\\y-4=8(x+6)[/tex]

Parents of children with developmental disorders can apply for federal funding for psychosocial rehabilitation. A government sociologist wants to know what percentage of applicants for this funding are in poverty. She obtains access to all their applications, groups the applications by state, and takes a simple random sample from each state's applications. Identify the population of interest to the sociologist.

a. Applicants for the federal funding who were in poverty
b. Applicants for the federal funding
c. Applicants who received the federal funding
d. Applicants whose applications were examined

Answers

Answer:

Applicants for the federal funding

Step-by-step explanation:

4.8 x 7 what is this problem?

Answers

Answer:

33.6

Step-by-step explanation:

This problem is a multiplication problem.

=> 4.8 x 7

=> 33.6

Therefore, the solution to 4.8 x 7 is 33.6.

The problem 4.8 x 7 is a multiplication problem. The solution to 4.8 x 7 is 33.6.

Here, we have,

given that,

The problem 4.8 x 7 is a multiplication problem.

To solve it, we multiply 4.8 by 7.

4.8 x 7

Therefore, the answer to the problem 4.8 x 7

This problem is a multiplication problem.

=> 4.8 x 7

=> 33.6

Therefore, the solution to 4.8 x 7 is 33.6.

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A car's rear windshield wiper rotates 130°. The total length of the wiper mechanism is 25 inches and the length of the wiper blade is 14 inches. Find the area wiped by the wiper blade. (Round your answer to one decimal place.)

Answers

The area wiped by the viper blade is approximately 486.7 square inches.

The area wiped by the wiper blade ([tex]A[/tex]), in square inches, is equal to the area of the circular section described below:

[tex]A = \frac{\theta\cdot \pi}{360}\cdot (R^{2}-r^{2})[/tex] (1)

Where:

[tex]\theta[/tex] - Angle, in sexagesimal degrees. [tex]r[/tex] - Inner radius, in inches.[tex]R[/tex] - Outer radius, in inches.

If we know that [tex]\theta = 130^{\circ}[/tex], [tex]R = 25\,in[/tex] and [tex]r = 14\,in[/tex], then the area wiped by the wiper blade is:

[tex]A = \frac{130\pi}{360} \cdot [(25\,in)^{2}-(14\,in)^{2}][/tex]

[tex]A \approx 486.7\,in^{2}[/tex]

The area wiped by the viper blade is approximately 486.7 square inches.

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Peter Morris wants to verify the amount
deposited to his savings account. His new balance is $729.49,
his previous balance was $680.50, interest earned on his
account was $3.25, and withdrawals totaled $222.06. Find the
amount deposited to his savings account.

Answers

Answer:324.24??? Not sure just a guess.

Step-by-step explanation:

25+30=15x+10x

solve for X​

Answers

Answer:

X=11/5

Step-by-step explanation:

Hope your cheating is nice

Answer:

[tex]x=\cfrac{11}{5}[/tex]

Step-by-step explanation:

[tex]25+30=15x+10x\\15x+10x=25+30\\25x=25+30\\25x=55\\\cfrac{25x}{25}=\cfrac{55}{25}\\x=\cfrac{11}{5}[/tex]

I NEED HELP ASAP! PLEASE

Answers

Answer:

16,32,16

Step-by-step explanation:

We can see that there is a pattern in this ratio table- 4, 8, 12. I can assume that the next number will be 16, beucase 4+4=8, 8+4=12, 12+4=16.  For the apple juice, we just follow the same pattern as for the orange juice, by adding the number by itself, so the patttern is 8, 16,24, 32.


Help help help help help

Answers

Answer:

  x = 42

Step-by-step explanation:

The marked angles are supplementary, so their sum is 180°.

  (2x +8) +(2x +4) = 180

  4x +12 = 180 . . . . . . . . . simplify

  x +3 = 45 . . . . . . . divide by 4 (because we can)

  x = 42 . . . . . . subtract 3

_____

Additional comment

A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and  eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.

Which of the following is the greatest common factor of 48 and 32?

Answers

Answer:

8

Step-by-step explanation:

cus...

geomtry plz help 15 points

Answers

Answer:

it should be 60°. the single marks on each side means they are all equal

Answer:

m∠L=60º

Step-by-step explanation:

The triangle is an equilateral triangle meaning that all angles and sides are equal.

m∠L=60º

Hope this helps :)

Which number should come next at the end of this series: 1/2, 4, 1/8, 16, _?

Answers

Answer:

1/32

Step-by-step explanation:

A cookie factory uses 9/10 of a bag of flour in each batch of cookies. The factory used 4 1/2 bags of flour yesterday. How many batches of cookies did the factory make?

Answers

if the factory uses 9/10 out of a bag of flour for each batch of cookies and ended up uses 4 1/2 bags for all the factory made
9 BATCHES OF COOKIES

If a ½ gallon of paint covers ⅙ of a wall, continuing at this rate how much paint is needed for the entire wall?

Answers

Answer:Full wall is 6 times 1/6 (6*1/6=1), so 6 times half a gallon, or 3 gallons.

Step-by-step explanation:

13.
Identify the vertex of the parabola.

A. (4, 3)

B. (3, 4)

C. (2, 7)

D. (6, 7)

Answers

Isentify the vertex of the parabola, A

given the equation 3x-2y=-10, identify the slope and the y-intercept

Answers

Answer:

3/2 is the slope and (0,5) is the y-intercept

Step-by-step explanation:

We need slope-intercept form for this question, so we simplify the equation into:

-2y=-10-3x which is just

y=5+3/2x =

y=3/2x+5

When we compare this to y=mx+b, we see that 3/2 is the slope and (0,5) is the y-intercept.

Answer: The slope is [tex]\frac{3}{2}[/tex] and the y-intercept is 5.

Step-by-step explanation:

The equation is 3x - 2y = -10

We need to turn 3x - 2y = -10 into slope intercept form.

y = mx + b → slope-intercept form

m = the slopeb = the y-intercept

3x - 2y = -10

-3x           -3x

-2y = -3x - 10

Divide the whole equation by -2

y = [tex]\frac{3}{2}[/tex]x + 5

The slope of the equation is [tex]\frac{3}{2}[/tex] and the y-intercept is -2.

Write the equation in point slope form of the perpendicular bisector of A(5,-8) and b(-3,1) 

Answers

Answer:

chu papi

Step-by-step explanation:

Brice brought two 2-liter bottles of sport drink to serve at basketball practice. How many 100-milliliter servings of sport drink did Brice bring?
A

Answers

Answer:

20 servings of 100-milliliter sports drink

Step-by-step explanation:

A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $8 per linear foot to install and the farmer is not willing to spend more than $4000, find the dimensions for the plot that would enclose the most area.

Answers

The dimensions for the plot that would enclose the most area are a length and a width of 125 feet.

In this question we shall use the first and second derivative tests to determine the optimal dimensions of a rectangular plot of land. The perimeter ([tex]p[/tex]), in feet, and the area of the rectangular plot ([tex]A[/tex]), in square feet, of land are described below:

[tex]p = 2\cdot (w+l)[/tex] (1)

[tex]A = w\cdot l[/tex] (2)

Where:

[tex]w[/tex] - Width, in feet.[tex]l[/tex] - Length, in feet.

In addition, the cost of fencing of the rectangular plot ([tex]C[/tex]), in monetary units, is:

[tex]C = c\cdot p[/tex] (3)

Where [tex]c[/tex] is the fencing unit cost, in monetary units per foot.

Now we apply (2) and (3) in (1):

[tex]p = 2\cdot \left(\frac{A}{l}+l \right)[/tex]

[tex]\frac{C}{c} = 2\cdot (\frac{A}{l}+l )[/tex]

[tex]\frac{C\cdot l}{c} = 2\cdot (A+l^{2})[/tex]

[tex]\frac{C\cdot l}{c}-2\cdot l^{2} = 2\cdot A[/tex]

[tex]\frac{C\cdot l}{2\cdot c} - l^{2} = A[/tex] (4)

We notice that fencing costs are directly proportional to the area to be fenced. Let suppose that cost is the maximum allowable and we proceed to perform the first and second derivative tests:

FDT

[tex]\frac{C}{2\cdot c}-2\cdot l = 0[/tex]

[tex]l = \frac{C}{4\cdot c}[/tex]

SDT

[tex]A'' = -2[/tex]

Which means that length leads to a maximum area.

If we know that [tex]c = 8[/tex] and [tex]C = 4000[/tex], then the dimensions of the rectangular plot of land are, respectively:

[tex]l = \frac{4000}{4\cdot (8)}[/tex]

[tex]l = 125\,ft[/tex]

[tex]A = \frac{(4000)\cdot (125)}{2\cdot (8)} -125^{2}[/tex]

[tex]A = 15625\,ft^{2}[/tex]

[tex]w = \frac{15625\,ft^{2}}{125\,ft}[/tex]

[tex]w = 125\,ft[/tex]

The dimensions for the plot that would enclose the most area are a length and a width of 125 feet.

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What is 10 - (-18) in a integer

Answers

Answer:

28

Step-by-step explanation:

10 - (-18)

=> 10 + 18

=> 28

Hoped this helped.

Answer:

10 - (-18)

= 10 + 18

= 28

Step-by-step explanation:

19 increased by twice joses savings

Answers

Answer:

19 x 2 38 is ur answer to the problem

Line f passes through points (5, 10) and (9, 1). Line g is parallel to line f. What is the slope of line g?

Answers

Answer:

-9/4

also known as

-2  1/4

Step-by-step explanation:

(10-1)/(5-9) = 9/-4

parallel = same slope

Answer:

slope = - [tex]\frac{9}{4}[/tex]

Step-by-step explanation:

Calculate the slope m of line f using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 10 ) and (x₂, y₂ ) = (9, 1 )

m = [tex]\frac{1-10}{9-5}[/tex] = [tex]\frac{-9}{4}[/tex] = - [tex]\frac{9}{4}[/tex]

Parallel lines have equal slopes , then

slope of line g = - [tex]\frac{9}{4}[/tex]

Share 7.20 naira between Tayo and Visit,so that Tayo gets 70 Kobo more than Bisi. how much does Tayo get?​

Answers

Answer:

4.30 naira

Step-by-step explanation:

Splitting in half, we have that they both get 3.60 naira each. Adding 70 kobo to 3.60 naira, we have 4.30 naira. Since we need Tayo's share to be 70 kobo more than Bisi's, we give Tayo the bigger share and the left cash to Bisi (2.90 naira).

Tayo will get 3.95 more than the naira of the given shares.

What is an expression?

In mathematics, an expression is a combination of numbers, variables, and operators (such as addition, subtraction, multiplication, and division) that can be evaluated to obtain a value.

Let's call the amount that Visit gets "x".

According to the problem, Tayo gets 70 kobos (0.70 nairas) more than Visit. So, Tayo gets:

x + 0.70

The total amount of money shared between them is 7.20 naira. So, we can set up an equation:

x + (x + 0.70) = 7.20

Simplifying this equation, we get:

2x + 0.70 = 7.20

Subtracting 0.70 from both sides, we get:

2x = 6.50

Dividing both sides by 2, we get:

x = 3.25

To find out how much Tayo gets, we can use the equation we came up with earlier:

x + 0.70

Substituting x = 3.25, we get:

3.25 + 0.70 = 3.95

Therefore, Tayo will get 3.95 more than the naira.

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write the value of the underlined digit in words 6,302,450? 3 being the underlined number.

Answers

Answer:

Three hundred thousand

Step-by-step explanation:

Hope this helps

write an expression for "f increased by 3"

Answers

Answer:

f+3

incresed means +

Answer:

The expression for 'f increased by 3' will be f+3.

Step-by-step explanation:

This means that 3 will be added to 'f'. Since, 'f' is a variable and '3' is a numeral, therefore they cannot be added. The expression for it will be f+3.

Have a great day! :D

6=4x^3-10x^2 please hurry it's a test

Answers

Answer:

x = about 2.705

Step-by-step explanation:

Does this help? Are you supposed to find x? That's what I did but you don't state what exactly you need.... So.....?

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