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

PLEASE HELP!!!!
On a Saturday, a library checked out 117 books. If 36 of the books were fiction, what is the ratio
of non-fiction books to fiction books checked out?

Answers

36:81

117 - 36 = 81
Answer:

4/9

Solution:

117-36 = 81
So out of the 117 books checked out, 36 of them were fiction and 81 were non-fiction, 36/81 simplified to lowest terms is 4/9

Solve

-x + 4 = x + 6

Answers

Answer:

-1

Step-by-step explanation:

1. subtract 4 from both sides

-x = x+2

2. subtract x from both sides

-2x = 2

3. divide both sides by 2

simplify

x= -1

Hope this helps :)

For BOTH Bruce and Felicia, graph a line to represent y, the area each person covered using x tiles.

The tiles that Bruce used were each 1/4 of a square foot in area. The table shows the area covered by Felicia’s tiles in terms of the number of tiles used.

Number of tiles Area covered
6 1
12 2
18 3
Bruce and Felicia want to know whose tiles cover the most area per tile.

Answers

If the area each person covered using x tiles. Bruce's tiles cover the most area per tile.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the tiles that Bruce used were each 1/4 of a square foot in the area and a table shows as,

Number of tiles(y)    6   12   18

Area covered (x)      1     2     3

Felicia tile's relationship between the number of tiles and the area covered is,

(1/6) =(12/2)=(18/3)

y=(1/6)x

The equation of a line to represent y, the area each person covered using x tiles for Bruce is,

y =(1/4)x.

Thus, if the area each person covered using x tiles. Bruce's tiles cover the most area per tile.

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PICK 5 RELEVANT VOCABULARY TERMS AND SUMMARIZE THEM .


yooo, i need help with this...

Answers

percussion
Percussion is music involving drums and other instruments such as gongs, bells, cymbals, rattles, and tambourines. The instruments themselves are also called percussion.

dual / duel
Seeing double? Not quite! Dual is two, or double, but a duel is a fight. If you’re getting sick of your fair-weather friend’s dual personality, perhaps you should throw down your glove and challenge him to a duel at high noon.

grisly / gristly / grizzly
Blood, guts, and man-eaters, oh my! Faint of heart turn back now! Grisly means relating to horror or disgust, gristly means related to gristle or cartilage, and grizzly is a big ol' bear. That can eat you.

precedent / president
How has the United States affected this word pair, precedent and president? Let's find out.

unconscionable / unconscious
These two words look and sound similar. In fact, if you think too hard about them together, you might find your tongue tripping over them.

Solve equation by applying the distributive property to simplify both sides of the equation if needed

4(w-9)=w+9

Answers

Answer:

w=15

Step-by-step explanation:

4w-36=w+9

3w=45

w=15

Answer:

15

Step-by-step explanation:

The distributive property applies to the expression on the left hand side. It means that the multiplication of 4 is distributed to all the terms in the brackets.

[tex]4(w-9) = w + 9\\4w-36 = w + 9\\4w-w = 9 + 36\\3w = 45\\w = 15[/tex]

Find the surface area of the following cylinder. Round your answer to the nearest square centimeter.

Answers

Answer:

V=2(pi)(r)(h)+2(pi)(r^2)

v=2(pi)(10/2)(0.8)+2(pi)(10/2)^2

TSA=159.512

TSA=160

Step-by-step explanation:

A hotel reservation number consist of 4 digits, followed by 1 letters, followed by 3 digits. How many different reservation numbers are possible?

Answers

Answer:

24000000

(might not be correct)

Step-by-step explanation:

might not be right but ill try:

ten digits: 10

4times:10x10x10x10=10000

times a letter:24 letters= 10000x24=240000

time three digits: 10x10x10=100x240000=24000000

The total number of combination for the repeating and not repeating cases are 260000000 and 604800 respectively.

What is permutation and combination?

Permutation and combination are the ways of counting.

Permutation implies selection of objects regardless of arrangement while Combination implies the selection when arrangement is important.

Given that,

The hotel reservation number contains 4 digits, 1 letter and then 3 digits.

Now, there are two possible cases for the given problem as follows,

Case 1 : The digits are repeating.

Then the total number of combinations for digits varying from 0 to 9 and 26 letters will be,

10 × 10 × 10 × 10 × 26 × 10 × 10 × 10

= 260000000

Case 2 : The digits are not repeating.

Then, for seven digits out of 10 the number of combinations are ¹⁰P₇.

And, for 26 letters it is ²⁶P₁.

Thus the total number of combinations are ¹⁰P₇ × ⁶P₁ which is equal to,

10 × 9 × 8 × 7 × 6 × 5 × 4 × 26

= 604800

Hence, the different number of combinations for the reservation number for the two cases are 260000000 and 604800 respectively.

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Cinco múltiplos del 12

Answers

Answer:

60 Sana po makatulong pa brainlest please

hey I need someone to help me

Answers

Answer:

A and F

Step-by-step explanation:

You plug in each one and see which ever one gets 20.

You invest AED 5000 in a saving account that earns 4% interest each year. If you do not use the account for a year, how much money will you have in your account after a year?

Answers

Answer:

5200 AED or 1404 USD

Step-by-step explanation:

You have 5000 in your account. If your money grows 4% each year, it's basically like multiplying by 1.04.

5000 * 1.04 = 5200

If the question is asking in USD, the conversion rate from AED to USD is

AED * 0.27 = USD

We can substitute

5200 AED* 0.27 = 1404 USD.

According to Josh's checkbook register, he had a transaction for less than -608 dollars on Monday. Which of the following best describes this transaction?
A.
Josh received less than 608 dollars on Monday.

B.
Josh received more than 608 dollars on Monday.

C.
Josh spent less than 608 dollars on Monday.

D.
Josh spent more than 608 dollars on Monday.

Answers

Answer:

A option A is the write answer

answer fully please //////////

Answers

Answer:

yes,the distributive property can be rewrite as i have given below:

(8×8)-(8×4)

Evaluate 11/6 - 2/8=

Answers

Answer:

19/12

Step-by-step explanation:

Solve the inequality

-5/7 - 6/7z < -2/7

Answers

[tex]-\cfrac{5}{7}-\cfrac{6}{7}z~~ < ~~-\cfrac{2}{7}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{7}}{-5-6z~~ < ~~-2} \\\\\\ \stackrel{\textit{dividing by a negative value}}{-6z~<~3\implies z ~\stackrel{\stackrel{notice}{\downarrow }}{>}~\cfrac{3}{-6}}\implies \boxed{z~>-\cfrac{1}{2}}[/tex]

help me with this please

Answers

One can of beans is 85p

So

3 cans is
85 +85 +85 = 255

= £2.55 for 3 cans

ill mark brainliest thanks​

Answers

Answer:

first one

Step-by-step explanation:

Finish the sentence: Two quantities are directly proportional when they:

A) increase and decrease at different rates

B) run into each other

C) increase and decrease at the same rate

D) only increase at the same rate

Answers

Direct proportion simply means the relationship between two variables when C. They increase and decrease at the same rate.

Direct proportion simply means the relationship that exists between two variables whereby the ratio is equal to a constant value.

In a direct proportion, it should be noted that an increase in a quantity will lead to a corresponding increase in the other quantity. Also, a decrease in one quantity also results in a corresponding decrease.

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Answer the following questions,
0
(a) What number is 95% of 80
0
(b) 85% of what is 51?

Answers

Answer:

95% of 80 is 76 and 85% of 60 is 51.

Step-by-step explanation:

Answer:

a. 76,  b. 60.

Step-by-step explanation:

a)  80 * 0.95 = 76.

b)   0.85 x = 51

x = 51/0.85 = 60.

an expression for the area of a rectangular piece of sheet metal is X^2+8x+12.
An expression for the length of the same piece of sheet metal is x+6.
Determine an expression for the width.

Answers

[tex]\text{Area of rectangle} = \text{Length} \times \text{Width}\\\\\\\implies \text{Width} = \dfrac{\text{Area of reactangle}}{\text{Length}} = \dfrac{x^2 +8x +12}{x+6} = \dfrac{x^2 + 6x +2x +12}{x+6}\\\\\\\\ = \dfrac{x(x+6) +2(x+6)}{x+6}=\dfrac{(x+6)(x+2)}{x+6} = x+2[/tex]

Please look the image attached

Answers

Answer:

I think it is c

Step-by-step explanation:

I might be wrong wait for a second answer if it is the same then I think I am right

Help pls asap!!! Make sure to answer all of them!

Answers

Answer:-4

-3

-2

Step-by-step explanation:

thx

solve for x and y then find the measure of each angle ​

Answers

Step-by-step explanation:

∵ MP is a straight line.

∴ ∠MNQ + ∠PNQ = 180°

[tex](3y + 8)° + (3y + 22)° = 180° \\ 3y + 8 + 3y + 22 = 180 \\ 6y + 30 = 180 \\ 6y = 150 \\ y = 25[/tex]

∵ MP is a straight line.

∴ ∠MNR + ∠PNR = 180°

[tex](2x + 5)° + (3x - 55)° = 180° \\ 2x + 5 + 3x - 55 = 180 \\ 5x - 50 = 180 \\ 5x = 230 \\ x = 46[/tex]

y>= -5x + 8 what is m?​

Answers

Answer:

The slope = -5

Step-by-step explanation:

y ≥ -5x + 8

Look at the problem as y = -5x + 8 and compare to the slope intercept form. The slope = -5

c¹⁰ ÷ c⁵ please help me asap thank you ​

Answers

Answer:

c^5

Step-by-step explanation:

All you have to do is take away the powers because of the law of indeces when dividing number with indices

Hope this helps :) im really bad at the explanations part :D

...........................................................

a 25 -ft ladder rests against the side of a house. the distance between the top of the lader and the ground is 17 ft more than the distance between the base od the ladder and the bottom of the house. find both distances. ​

Answers

Answer:

Step-by-step explanation:

x² + (x + 17)² = 25²

x² + x² + 34x + 289 = 625

2x² + 34x - 336 = 0

x² + 17x - 168 = 0

x = (-17 ±√(17² - 4(1)(-168))) / (2(1))

x = 7 or - 24   the negative distance makes no sense, but if we plug our good answer of 7 ft in for the base length, the height comes out to be + 24 ft

base = 7 ft

height = 24 ft

A shipment of 8 computers contains 3 with defects. Find the probability that a sample of size 2, drawn from the 8, will not contain a defective computer.
What is the probability that a sample of 2 of the 8 computers will not contain a defective computer?
(Type an integer or a simplified fraction.)

Answers

Answer:

5/28

Step-by-step explanation:

First of all, probability is defined as the number of ways a certain event can happen divided by the total ways of an event happening. In this scenario, we are asked to find the number of non-defective computers divided by the total ways that a sample of two can be chosen.

The number of ways to choose 2 computers from 8 can be written as [tex]8\choose2[/tex], which is equal to [tex]\frac{8\cdot7}{2}[/tex], which is 28. Now, there are 3 defective computers, for a total of 5 non-defective computers, so the probability is 5/28.

Hurry help plz
Solve for an angle in right triangles

Answers

[tex]\cos \angle B = \dfrac{2}{7}\\\\\implies \angle B = \cos^{-1} \left( \dfrac{2}{7} \right) = 1.28^{\circ}[/tex]

write down five million four thousand three hundread in standard form

Answers

the answer is 5,004,300

What is a quartic function with only two real zeros at x = 7 and x = 13
A. y = (x - 10) ^ 5 - 81 OR y = x ^ 5 - 20x ^ 4 + 92x ^ 3 + 34x ^ 2 - 20x + 91

B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91

C. y = (x - 3) ^ 4 - 41 OR y = 2x ^ 4 - 21x ^ 3 + 52x ^ 2 - 17x + 609

D. y = (x+ 8)^4 + 71 OR y = x^4 - 3x^3 + 7x^2 - 5x + 13

Answers

Zeros be a and b

a=7b=13

Function

[tex]\\ \sf\longmapsto y=x^2-(a+b)x+ab[/tex]

[tex]\\ \sf\longmapsto y=x^2-(7+13)x+(7)(13)[/tex]

[tex]\\ \sf\longmapsto y=x^2-20x+91[/tex]

Option B

Veronica has two offers for a $65,000 student loan. The first loan has a 6.3% interest rate for 15 years, and the second loan has a 4.8% interest rate for 20 years. Both loans have interest compounded every month. Veronica is interested in finding the loan that minimizes the amount of interest that she will pay over the life of the loan. Which loan has a lower amount of interest paid?

Answers

The second option has a lower amount of interest paid.

In order to determine the loan option that minimizes loan payment, the future value of both loan options has to be determined.

FV = P (1 + r)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years  

First loan option

65000( 1 + 0.063/12)^300 = 312,707.21

Second loan option

65000( 1 + 0.048/12)^240 = 169,435.51

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