Line A is represented by the equation given below: x + y = 2 What is most likely the equation for line B, so that the set of equations has infinitely many solutions? (1 point) a 2x + 2y = 2 b 2x + 2y = 4 c 2x + y = 2 d x + y = 4

Answers

Answer 1

The set of the equations x + y = 2 and 2x + 2y = 4 have infinitely many solutions, option (b) is correct.

What is a linear 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.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

equation of the line:

x + y = 2

a) 2x + 2y = 2  ⇒ x + y = 1

b) 2x + 2y = 4 ⇒ x + y = 2

c) 2x + y = 2 ⇒ 2x + y = 2

d) x + y = 4 ⇒ x + y = 4

The given equation and equation (b) 2x + 2y = 4 ⇒ x + y = 2 has the same coefficient of x and y as well as same constant it means the set of the equations have infinitely many solutions

Thus, the set of the equations x + y = 2 and 2x + 2y = 4 have infinitely many solutions option (b) is correct.

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Related Questions

If an airplane descends 15 feet every 1.45 seconds, how far would the airplane travel in three and a half minutes? The equation is y=-40x+58

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

The air plane descends 15 feels every 1.45 seconds, so it's unit rate is :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{15}{1.45} \: \: ft / sec[/tex]

Now we have to calculate the descent in 3.5 minutes ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{15}{1.45} \: \: \times 3.5 \times 60[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2172.41 \: \: ft[/tex]

So, the airplane descends 2172.41 feels in three and a half minutes ~

Which statements can be used to compare the characteristics of the functions? select two options. f(x) has an all negative domain. g(x) has the greatest maximum value. all three functions share the same range. h(x) has a range of all negative numbers. all three functions share the same domain.

Answers

The statements that can be used to compare the characteristics of the functions are:

g(x) has the maximum greatest value.h(x) has a range of all negative numbers.

How to interpret the functions?

From the table of values (see attachment), we have the following highlights:

f(x) has a range of all positive numbers.h(x) has a range of all negative numbers.g(x) has the maximum greatest value.

The above highlights mean that, the true statements are b and d

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Answer:Its B,D

Step-by-step explanation: Yes

11
The area of a square is 49 cm2. What is the perimeter, in cm, of the square?

Answers

Answer:

28 cm

Step-by-step explanation:

The area of a square is 49 cm2. What is the perimeter, in cm, of the square?

first we use the inverse formula to find the side (√49 = 7), then multiply the side by 4 (7 x 4 = 28)

or you can use an expression

4 * √49 = 28

On a test that has a normal distribution, a score of 29 falls two standard deviations
below the mean, and a score of 49 falls three standard deviations above the mean.
Determine the mean of this test.

Answers

The normal distribution is also known as the Gaussian distribution. The mean of this test is 37.

What is Normal Distribution?

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

On a test that has a normal distribution, a score of 29 falls two standard deviations below the mean, and a score of 49 falls three standard deviations above the mean. Therefore, we can write,

μ - 2σ = 29

μ + 3σ = 49

By subtracting the first equation from the second, then we will get,

μ + 3σ - μ + 2σ = 49-29

5σ = 20

σ = 4

Now, substitute the value of σ in the equation,

μ - 2σ = 29

μ - 2(4) = 29

μ = 29 + 8

μ = 37

Hence, the mean of this test is 37.

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Please Help! I got 81.9% and used x = (mean - average) / standard deviation and then subtracted.
The daily amounts of time Internet users spend on social networking platforms are normally distributed with a mean of 142 minutes and a standard deviation of 32 minutes.

a. About what percent of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day? Round your answer to the nearest tenth of a percent.

Answers

Using the normal distribution, it is found that about 81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 142, \sigma = 32[/tex].

Th proportion of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day is the p-value of Z when X = 174 subtracted by the p-value of Z when X = 78, hence:

X = 174:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{174 - 142}{32}[/tex]

Z = 1

Z = 1 has a p-value of 0.841.

X = 78:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{78 - 142}{32}[/tex]

Z = -2

Z = -2 has a p-value of 0.023.

0.841 - 0.023 = 0.818 = 81.8%.

81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.

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-10
Which system of inequalities is shown in the graph?
A)
x - 2y > 8 or x - 2y ≤ -6
x - 2y < 8 or x - 2y 2-6
x - 2y > -8 or x - 2y ≤ 6
x - 2y <-8 or x - 2y ≥ 6
B)
G
D)
-5
10-
0
-10+
5
10

Answers

Answer:

x - 2y > 8 or x - 2y ≤ -6

Step-by-step explanation:

I used desmos

I hope this helps!!!

X=-3
A. 64
B. 8
C. 4
D. 16

Answers

Answer:

The answer is A.

Step-by-step explanation:

I took the test

PLEASE HELP! 20 POINTS!! PIC ATTACHED :)

Answers

From the figure, we immediately have

cos(θ) = 8/17

sin(θ) = 15/17

By definition of tangent,

tan(2θ) = sin(2θ)/cos(2θ)

Recall the double angle identities:

sin(2θ) = 2 sin(θ) cos(θ)

cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1

Then

tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)

tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)

tan(2θ) = -240/161

diring the repair the mechanics will need to connect a cable between chairs b and j, and then continue that cable to chair g. what is the anhle formed by the cable

Answers

The angle that will be formed by the cable based on the information given will be 15°.

How to calculate the angle?

From the complete information, it's important to divide the total angle by 12. This will be:

= 360°/12 = 30°

Then, the relations that will be used will be:

= 1/2(60° - 30°)

= 1/2 × 30°

= 15°

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Given that P(A or B) = 13, P(A)= 14, and P(A and B) = 18…. find P(B)
struggling with this could use some help + work explination, i havent been to class in weeks!

Answers

The value of P(B)=17 for the given value P(A or B) = 13, P(A)= 14, and P(A and B) = 18.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Here is the formula for the probability of an exclusive event:-

[tex]P(AUB)=P(A)+P(B)-P(A\cap B)[/tex]

[tex]13=14+P(B)-18[/tex]

[tex]P(B)=17[/tex]

hence the value of P(B)=17 for the given value P(A or B) = 13, P(A)= 14, and P(A and B) = 18.

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The circumference of the target above is 6,575.16 mm. What is the diameter of the target? Use = 3.14.​

Answers

Circumference=2 pi r, or pi d
So, 6,575.16/3.14 exactly is 2094.
d=2094

I would like help :)

Answers

Answer:

diameter - B

central angle - E

radius - A

tangent - D

minor arc - F

chord - C

A party-favor bag must have a volume of 140 cubic inches and the dimensions that are shown below. The equation 23 + 6,2 - 27x= 140 can be used to find x. Height: (x+9) in. Width: (2 - 3) in Length: xin. What are the dimensions of the party-favor bag? Use a graphing calculator and a system of equations to find the answer. O The length is 7 inches, the width is 4 inches, and the height is 16 inches. O The length is 5 inches, the width is 2 inches, and the height is 14 inches. O The length is 4 inches, the width is 1 inch, and the height is 13 inches. O The length is 3 inches, the width is O inches, and the height is 12 inches.

Answers

For this case we have the following equation for the volume:

[tex]x^3+6x^2-27x=140 < br/ >[/tex]

Rewriting the equation we have:

[tex]x^3+6x^2-27x=140=0 < br/ >[/tex]

We factor the equation to find the roots of the polynomial.

We have then:

[tex](x-5)(x+4)(x+7)=0 < br/ >[/tex]

Then, we discard the negative roots, because the dimensions of the figure must be positive.

We have then that the length is:

[tex]x=5 < br/ >[/tex]

The height is:

[tex]x+9=5+9=14 < br/ >[/tex]

The width is:

[tex]x-3=5-3=2 < br/ >[/tex]

Thus, the dimensions are:

[tex]5*14*2 < br/ >[/tex]

Answer:

The length is 5 inches, the width is 2 inches, and the height is 14 inches.

6a-2y>4

Solve inequality for y

Answers


y < -2 +3a

Isolate the variable by dividing each side by factors that don't contain the variable.

Divide. 12.92/105 please

Answers

Answer:

Decimal Form: 0.12304762 (Not Rounded)

Answer:

0.2584

Step-by-step explanation:

First off 10 to the 5th power is 10 x 5 = 50, so 12.92 / 50 is 0.2584.

Which one of these numbers is a composite number a.17 b.51 c.97 d.89

Answers

Step-by-step explanation:

The correct answer here is 51

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

 Which one of these numbers is a composite number: 17, 51, 97, or 89?

[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

Composite numbers are divisible by 3 or more numbers.

17 is divisible by 1 and 17 only, so it's not composite.

51 is divisible by 1, 51, 3, and 17, so it's composite.

97 and 89 are divisible by two numbers only, so they are not composite.

So we conclude that the answer is

51

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

Can you please help me at
a=3/5 b=4/5 c=?

Answers

Answer:

a=3/5 , b=4/5. ,.

c=5/5

c=5/5

=1

If f (x) = startroot one-half x minus 10 endroot 3, which inequality can be used to find the domain of f(x)?

Answers

Because it is a cubic root, the argument can be positive and negative, so the domain is the set of all real numbers.

How to find the domain of our function?

Here we have the function:

[tex]f(x) = \sqrt[3]{\frac{1}{2}*x - 10}[/tex]

Now, if this is a cubic root (as I understand what you wrote) then we can use any value of x inside of that function, because the degree is odd.

Is not the case of the square root, where the argument must only be positive.

With that in mind, we conclude that the domain is the set of all real numbers.

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Answer: C

Step-by-step explanation:

Edge 2023

1. The first bus stop on a bus route is 4 miles from school. How
many yards is the first bus stop from school?
2040 yards

Answers

The correct answer you are looking for is a and b

Find the volume of the pyramid to the nearest cubic unit. Use a calculator.
64 m^3
96 m^3
192 m^3
256 m^3

Answers

Answer: 64 m^3

Step-by-step explanation:

V=1/3*a^2*h

V = 1/3*64*3

V=64 m^3

Answer:

64 m³

Step-by-step explanation:

Formula

[tex]\textsf{Volume of a square based pyramid}=\dfrac{1}{3}a^2h[/tex]

where:

a = side lengthh = perpendicular height

Given:

a = 8 mh = 3 m

Substituting the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Volume}& =\dfrac{1}{3} \cdot 8^2 \cdot 3\\\\& = \dfrac{3}{3} \cdot 64\\\\& = 1 \cdot 64\\\\& = 64\:\sf m^3\end{aligned}[/tex]

I need help with part 2 on this question (Screenshot)

Answers

Answer: 4.75s + 48
Hope this helps.

Find the area of a circular sector in cm² with angle 15° if the length of the intercepted arc is pi/2 cm

Answers

Answer:

0.52cm2

Step-by-step explanation:

l of Arc =tita/360×2πr

15/360×2×22/7×2

7. algebra sara allen is interested in buying a notebook
computer. if she buys the computer this week, she will
save $150.00 while it is marked down 16%. if she buys the
computer next week, she will pay the regular selling price.
what is the regular selling price?

Answers

A percentage is a way to describe a part of a whole. The regular selling price of the computer notebook will be $937.5.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the selling price of the computer notebook be represented by x.

Now, if Sara buys the computer this week, the selling price of the computer will be (100%-16%)x = 0.84x.

Also, the saving she made by buying this week will be $150, therefore, we can write,

x-0.84x = $150

0.16x = $150

x = 937.5

Hence, the regular selling price of the computer notebook will be $937.5.

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The pencil is 10 cm long and the cup is 8 cm tall. Find the diameter of the base of the cup?

Answers

80 because when u do 10 times 8 it’s 80

Tickets to the play cost $5.00 for adults and $3.00 for kids. The play sold 20 tickets for a total of $76. How many kids and adults attended the play?

Answers

The number of adults =16 and the number of kids =4

What is the percentage of 20 from 400?

Answers

(20/400)×100

5%

hope it helps...!!!

Answer:5%

Step-by-step explanation:

40 is 10% so then you half that which is 20=5%

CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION !!
3 √5 + 15 √5

Answers

Answer:

18√5  or Decimal Form: 40.24922359…

Step-by-step explanation:

James is given the diagram below and asked to prove that ZD ZF. What
would be the missing step of the proof?
Given: DE = FE, and Eo forms the angle bisector of ZDEF.
Prove: ZD ZF
E
D
o
Reasons
Given
Statements
1. DEFE, EO forms the angle
bisctor of ZDEF
2.
3. EO EO
4. ADEO AFEO
5. ZD ZF
Definition of an angle bisector
Reflexive Property of Equality
SAS Congruency Theorem
Corresponding parts of congruent
triangles are congruent
O A. ZEDO ZEDO
O B. ZEDO: ZEFO
O C. ZDEO = ZFEO
O D. ZEOF ZEOD

Answers

Answer:

C, ∠DEO ≅ ∠FEO

Step-by-step explanation:

The bisector EO bisects the angle ∠DEF, an interior angle of ΔDEF.

This means the angle is divided into 2 equal angles.

∠DEO ≅ ∠FEO

Which fraction is equal to 0.370 (with the line over 370)

A. 37/100
B. 370/999
C. 37/99
D. 37/9

Answers


This is the answer 37/99 = 0.37
Answer:  B.  370/999

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

Explanation:

Let x = 0.370370370...

The "370" block repeats forever, due to the horizontal bar up top.

Multiply both sides by 1000 so that the decimal point moves three spots to the right.

x = 0.370370370...

1000x = 1000*0.370370370...

1000x = 370.370370370...

Then notice both x and 1000x involve the *exact* same decimal string of "370" repeating forever. This perfect match lets us cancel the decimal portions out when we subtract, and allows us to isolate x to get some fraction of integers.

1000x - x = 370.370370370... - 0.370370370...

999x = 370

x = 370/999

You can use your calculator to confirm that 370/999 = 0.370370370...

----------------

In fact, you can use your calculator to determine the following:

A) 37/100 = 0.37

B) 370/999 = 0.370370370...

C) 37/99 = 0.373737...

D) 37/9 = 4.1111111....

This allows us to see fairly quickly that choice B is the final answer and that we can rule out the others.

----------------

Side note: your calculator may round the last digit by mistake.

The right rectangular prisms are similar. which statements are correct? check all that apply. the angles in the smaller prism measure 90 degrees. the perimeter of the rectangular bases changes by a factor of 2. the surface area changes by a factor of 8. the larger prism has twice the volume of the smaller prism. the area of the rectangular bases changes by a factor of 4.

Answers

The true statement about the right rectangular prisms include:

The angles in the smaller prism measure 90 degrees.The perimeter of the rectangular bases changes by a factor of 2.The rectangular bases changes by a factor of 4.

How to illustrate the prism?

It should be noted that a prism simply means a shape that has two identical shapes that face each other.

Here, the angles in the smaller prism measure 90 degrees and the perimeter of the rectangular bases changes by a factor of 2.

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