A system has an infinite number of solutions. one equation is 3x-3y=8. Which could be the other equation in the system of equations?

Answers

Answer 1

Answer:

[tex]6x-6y-16=0[/tex]

Step-by-step explanation:

Consider the following system of equations:

[tex]a_1x+b_1y+c_1=0\\\\a_2x+b_2y+c_2=0[/tex]

The system of equations has infinite solutions if [tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}[/tex]

One equation is [tex]3x-3y=8[/tex]

[tex]3x-3y-8=0[/tex]

Take another equation as [tex]6x-6y-16=0[/tex]

So, the two equations are [tex]3x-3y-8=0[/tex] and [tex]6x-6y-16=0[/tex]

[tex]a_1=3,b_1=-3,c_1=-8,a_2=6,b_2=-6,c_2=-16[/tex]

[tex]\frac{a_1}{a_2}=\frac{3}{6}=\frac{1}{2}\\ \frac{b_1}{b_2}=\frac{-3}{-6}=\frac{1}{2}\\ \frac{c_1}{c_2}=\frac{-8}{-16}=\frac{1}{2}[/tex]

So,

[tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}[/tex]

Therefore, another equation can be [tex]6x-6y-16=0[/tex]


Related Questions

pls help will mark brainliest if correct

Answers

Answer:

its D Please put me as brain eat if correct

Max is drawing plans for a garden, measured in feet, which is shown below on the coordinate plane. Max has two vertices of the garden at points (Negative 1, 2) and (Negative 1, Negative 2).

Answers

Answer:

The other two vertices are (4 , -2) and (4 , 2)

Answer:

The answer is (B)

Step-by-step explanation:

Max is drawing plans for a garden, measured in feet, which is shown below on the coordinate plane. Max has two vertices of the garden at points (Negative 1, 2) and (Negative 1, Negative 2).

On a coordinate plane, points (negative 1, 2) and (negative 1, negative 2) are plotted.

At which points should Max have the other two vertices in order to make the area of his garden 20 square feet?

(2, Negative 2) and (2, 2)

✅(4, Negative 2) and (4, 2)

(3, Negative 2) and (3, 2)

(5, Negative 2) and (5, 2)

How does the cost of shirts compare to the cost of the magnets? *
The cost of the shirts is ____ times as much as the cost of magnets.

Answers

Answer:

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Step-by-step explanation:

Answer:

$0.95

Step-by-step explanation:

Find the volume of the cone. Round your answer to the nearest tenth.
13 ft
10 ft

Answers

Answer:

340

Step-by-step explanation:

340.33 and rounfing off whole number is 340

in triangle ABC, AB//QR and AP:PB=BR:TC.with reasons ,prove that PQ//BC​

Answers

huh is there supposed to be a picture?

A plastic box has the dimensions shown. 2 square pyramids are stacked on their bases. The bases are 8 centimeters by 8 centimeters and the height of each pyramid is 7.5 centimeters. What is the volume of the box? 160 cm3 320 cm3 480 cm3 960 cm3

Answers

Answer:

the answer is 320

Step-by-step explanation:

just did the instruction

Answer:

320

Step-by-step explanation:

To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

Wow look at my full percent battery

hello ! does anyone know how I could get x and y from this equation :


3x +4y > 2

any help would be appreciated ! :)

Answers

Step-by-step explanation:

x,y£R

x and y are element of real numbers

any number you set for x you get which is strictly greater than 2

In a geometric sequence, the ratio between consecutive terms is?

Answers

In a geometric sequence, the ratio between consecutive terms is always the same.

Joel has a goal to practice his clarinet for 4 ½ hours per week. The list below shows the number of hours Joel has practiced so far this week.

Answers

Answer:

3/4 hours

Step-by-step explanation:

Joel has a goal to practice his clarinet for 4 1/2 per week. The list below shows the number of hours Joel has a practiced so far for the week. Monday 1 1/2 hours Wednesday 1 1/4 hours Thursday 1 hour. How many more hours does he need to practice this week to meet his goal?

Total practice hours per week = 4 1/2 hours = 9/2 hours

Hours of practice so far for the week:

Monday = 1 1/2 hours = 3/2 hours

Wednesday = 1 1/4 hours = 5/4 hours

Thursday = 1 hour

Total = Monday + Wednesday + Thursday

= 3/2 + 5/4 + 1

= (6+5+4)/4

= 15/4 hours

How many more hours does he need to practice this week to meet his goal

Hours needed to meet goal = Total practice hours per week - Hours of practice so far for the week

= 9/2 - 15/4

= (18-15)/4

= 3/4 hours

Hours needed to meet goal = 3/4 hours

Find the perimeter of this semi-circle with diameter 62cm.
Give your answer as an expression in terms of Pi

Please include the formula

Answers

Step-by-step explanation:

hope it helps

have a great day!!

PLEASE HELO ME AND EXPLAIN PLEASE. AND PLEASE SHOW IN STEPS!! i will mark brainliest if you get it correct!

Answers

Step-by-step explanation:

The height of the swipe card is given by :

[tex]h(t)=-3t^2+15t+18[/tex] .....(1)

We need to find the maximum height of the swipe card and the time to reach the maximum height.

For maximum height, put dh/dt = 0

So,

[tex]\dfrac{d}{dt}(-3t^2+15t+18)=0\\\\-9t+15=0\\\\t=\dfrac{15}{9}\\\\t=1.67\ s[/tex]

It will take 1.67 seconds to reach the maximum height.

Now, put t = 1.67 s in equation (1).

[tex]h(1.67)=-3(1.67)^2+15(1.67)+18\\\\=34.68\ feet[/tex]

Hence, the maximum height of the swipe card is 34.68 feet and the time to reach this height is 1.67 s.

Help me please with math

Answers

Answer:

d. 2x³y + 12x²y² + 18xy³

Step-by-step explanation:

Volume = l x b x h

= 2xy × x + 3y × x + 3y

= 2xy × (x + 3y)²

= 2xy × (x² + 6xy + 9y²)

= 2x³y + 12x²y² + 18xy³

Please help! It's due today!

Expand (3a-2b^3)^2

Answers

Answer:

9a²-12ab³+4b⁶

Step-by-step explanation:

use FOIL to solve

f-first

o-outer

i-inner

l-last

Answer: 4b^6 - 12ab^3 + 9a^2

yw

what is 184.26 in standard form​

Answers

find the answer here

mathhelp.org

A television costs $258.98. The sales tax rate is 8.5% . How much will. It cost to buy the television

Answers

Answer:

The cost is $280.99

Step-by-step explanation: First do 258.98 divided by 100 which will then equal 2.5898 times 8.5 equal 22.0133 which will then be rounded to 22.01 and then you add 258.98 + 22.01 and that will equal 280.99

What is the percent of $432

Answers

Answer:

%23.15

Step-by-step explanation:

im not sure what u mean entirely

Answer:

its should be 100%. your question is not that clear. What persent of what is 432 should be question. In the provided questions the answer is 100% because it is an output value.


Which expressions are equivalent to the given expression?

Answers

Answer:

(a). and (b).

Step-by-step explanation:

Simplify Square Roots -

Find one perfect square and one imperfect square to multiply to the square root.

[tex] \sqrt{4 \times 10} = 2 \sqrt{10} [/tex]

[tex]40^{ \frac{1}{2} } = \sqrt[2]{(40) ^{1} } = \sqrt{40} [/tex]

[tex] \sqrt{40} \neq 4 \sqrt{10} [/tex]

[tex]160 ^{ \frac{1}{2} } = \sqrt[2]{160 ^{1} } = \sqrt{160} \neq \: \sqrt{40} [/tex]

[tex]5 \sqrt{8} \neq \: \sqrt{40} [/tex]

Write 3-5 sentences about the process of the Sums and differences of cubes Factoring Method

Answers

Answer:

nah nah mane 12

Step-by-step explanation:

Answer:

Step one: Decide if the two terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer. In this case, the two terms only have a 1 in common which is of no help.

Step 2: Rewrite the original problem as a difference of two perfect cubes.

Step 3a: “Write What You See” If you disregard the parenthesis and the cubes in step 2, you should see:

Step 3b: “Square-Multiply-Square” If you square the first term, x, you get x2. If you multiply the two terms, x and 4, you get 4x. Finally, if you square the second term, 4, you get 16.

Step 3c: “Same, Different. End on a Positive” This will determine the signs of the problem. The first sign should be the same as the original question, the next sign should be different then the first, and the last sign should always be positive.

Step 4: Write the final answer.

Step-by-step explanation:

Show all your work! Thank you!

Answers

Answer:

a

Step-by-step explanation:

1+1=2  2+2=4 meaning its 9$ for the cheesecake and 10 for the apple pie

More trig ratios see attachment

Answers

Answer:

TanX = 9/12, WX = 15, TanW = 12/9, CosX = 12/15

Step-by-step explanation:

Tan = opposite/adjacent, so 9/12

WX is the missing side, so solve it by taking the square root of (9^2) +( 12^2) and you get 15

Tan again, is opposite/adjacent, so 12/9

Cos is adjacent/hypotenuse, so 12/15

Hopefully this helps! Let me know if you have any questions

3/4+(1/3divided by 1/6)-(-1/2)=
HURRY pls i need a answer ASAP

Answers

Answer:

Step-by-step explanation:

Answer:

3.25

Step-by-step explanation:

finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number​

Answers

Answer:

this is your answer look it once

$1210 is invested in an account earning 11.5% interest compounded monthly. What is the balance at the end of 13 years? Group of answer choices

Answers

Answer:

Final amount = $5357.52

Step-by-step explanation:

Formula to be used,

Final amount = [tex]\text{Initial amount}\times (1+\frac{r}{n})^{nt}[/tex]

Here, n = number of compounding in a year

t = Duration of investment

Now we substitute the given values in the question.

Final amount = [tex]1210(1+\frac{0.115}{12})^{12\times 13}[/tex]

                      = [tex]1210(1.009583)^{156}[/tex]

                      = 1210(4.4277)

                      = $5357.52

5.
Loren is running in a long distance race. She is able to keep a steady pace of 10 feet per second.

Answers

Answer:

a or c Im not sure

Step-by-step explanation:

I think b though

The line which represents the speed as 10 feet per second is line B thus none of the given options are correct.

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given,

Loren is running at speed of 10 feet per second.

Speed = distance covered/time taken

10 = distance covered/time taken

In line B, the ratio of distance covered/time taken is 10.

Thus, line B will be correct.

Hence "The line which represents the speed as 10 feet per second is line B thus none of the given options are correct".

To learn more about graphs,

brainly.com/question/16608196

#SPJ5

At a movie theater, the size of popcorn bags decreased by 20%.



If the old bags held 15 cups of popcorn, how much do the new bags hold?

Answers

Answer:

12 cups

Step-by-step explanation:

I'm pretty sure you just take 20% of 15.. which is 3 and then you would do 15-3 which is 12. Hope this helps! <3

Answer:

12 cups

Step-by-step explanation:

if the volume decreases by 20%, that means 80% is left.

Solve by 15 x .8

Any help on this pleasee anyone??

Answers

False, it would not make a right triangle

Brian ate 2/3 of a pizza. His friend, Joseph ate 1/4 of what was left. How much pizza did joseph eat?

Answers

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] = [tex]\frac{8}{12}[/tex]

[tex]\frac{12}{12}[/tex] - [tex]\frac{8}{12}[/tex] = [tex]\frac{4}{12}[/tex]

[tex]\frac{4}{12}[/tex] * [tex]\frac{1}{4}[/tex] = [tex]\frac{4}{48}[/tex] = [tex]\frac{1}{12}[/tex]

.What is the perimeter of the figure below?*
2 in
9 in
2 in
11 in

Please help!

Answers

Answer:

I think 24

Step-by-step explanation:

11+9=20+2+2=24

A parallelogram has vertex at (-5 , -1) (-2, -1), (-3,-4), and (-6,-4). What is the approximate perimeter of the parallelogram round your answer to the nearest hundredth

Answers

Answer:

12.4 units

Step-by-step explanation:

We have to find the length of the sides of the parallelogram which is calculated using the formula for Distance

= √(x2 - x1)² + (y2 - y1)² where we are given the vertices (x1, y1) and (x2, y2)

For side A

(-5 , -1) (-2, -1)

= √(-2 -(-5))² + (-1 - (-1))²

= √(-2 + 5)² + (-1 + 1)²

= √3² + 0

= √9

= 3 units

For side B

(-2, -1), (-3,-4)

= √(-3 -(-2))² + (-4 -(-1))²

= √(-3 + 2)²+ (-4 + 1)²

= √-1² + -3²

= √1 + 9

= √10 units

= 3.1622776602 units

Approximately = 3.2 units

For side C

(-3,-4), (-6,-4).

= √(-6 -(-3))² + (-4 - (-4))²

= √(-6 + 3)² + (-4 + 4)²

= √-3² + 0²

= √9

= 3 units

For side D

(-5 , -1), (-6,-4)

= √(-6 - (-5))² + (-4 - (-1))²

= √(-6 + 5)² + (-4 + 1)²

= √-1² + -3²

= √1 + 9

= √10 units

= 3.1622776602 units

Approximately = 3.2 units

From the above calculation , we can see that,

side A = side C

side B = side D

The formula for the Perimeter of a Parallelogram is = 2(Side a + Side b)

= 2(3 + 3.2) units

= 2(6.2) units

= 12.4 units

HELPP PLEASEEE


John's toy car is built on a scale of one
inch represents 12 inches on the actual
car. If john's toy car is 5 inches long,
how long is the actual car?

Answers

12/1 = x/5

1 • x = 12 • 5
x = 60

John’s car is 60 inches long.
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