Which statement describes the system of equations?
√x+2y=2
x-2y=-2
O It has infinitely many solutions.
OIt has no solution.
O It has one solution (0, 1).
It has one solution (4, -1).
Mark this and return

Answers

Answer 1

For the system of equations √x + 2 y = 2 and x - 2 y = - 2, it has no solutions.

We are given a system of equations:

√x + 2 y = 2 … (1)

x - 2 y = - 2   … (2)

We need to find out which of the given statements if true about this system of equations.

We will do this by first comparing the a₁ / a₂, b₁ / b₂ and c₁ / c₂ with each other.

We have:

a₁ = 1

b₁ = 2

c₁ = 2

a₂ = 1

b₂ = -2

c₂ = -2

Since, b₁ / b₂ = 2 / -2 = -1 and c₁ / c₂ = 2 / - 2 = -1

So,

a₁ / a₂ ≠ b₁ / b₂ = c₁ / c₂

From this, we get that:

It has no solution.

Therefore, for the system of equations √x + 2 y = 2 and x - 2 y = - 2, it has no solutions.

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Related Questions

Find the distance between the two points in simplest radical form (0,-7)(-9,5)

Answers

Step-by-step explanation:

1111111111111111111111

your cousin has $156.34 in his bank-
account. He withdraws $15.50 one day
and B 6.75 the next day how much
money is in his bank accout now ?

Answers

Answer:

$134.09

Step-by-step explanation:

you take 156.34 and minus 15.50, then you take that and minus it by 6.75

Answer $134.09

why 156.34 - 15.50+6.75=134.09

If a number is "squared" that means it
is raised to the
______ power.

1. 1st
2. 2nd
3. 3rd
4. square root
5. none of the above

Answers

3rd power. hope this helps

Answer:

2nd power

Step-by-step explanation:

3rd is cubed and 1st is: example 3^1 = 3

square root is √

jaylon created this stained glass window the upper two coners are quater ciecleseach with a radius of 4 inches. find the area of the window

Answers

The area of the window is 305.12 square inches.

How to find the area of the window?

given that

jaylon created this stained glass window the upper two coners are quater ciecleseach with a radius of 4 inches.

The window's area is equal to the sum of the areas of a rectangle, two quarter circles, and the smaller square between the two upper corners.

The quantity of space occupied by a flat surface with a specific shape is referred to as the area.

now, find the area of rectangle

A = length x breadth

A = 12 x (26-4)

A = 12 x 22

A = 264 square inches

find the area of the two quarter circle

[tex] A= 2( \frac{1}{4} (3.14) \times {4}^{2} ) \\ A = 25.12 {in}^{2} [/tex]

Find the area of the smaller square between the two upper corners

A = (12-8) (4)

A = 4 x 4

A = 16 sq.in

now, find the total area

A = 264 + 25.12 + 16

A = 305.12 square inches

Hence, the area of the window is 305.12 square inches.

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Mike walked 5 blocks in 15 minutes.how many minutes did it take for him to walk one block?

Answers

It took Mike 3 minutes to walk one block because 15 divided by 5 is 3. Hope this helped! :)

please help will give brainlist

Answers

m = 2 meters

(25.2 / 4.2) / 3
= 2

Translate this sentence into an equation.
48 is the difference of Vidya's height and 19.
Use the variable v to represent Vidya's height.

Answers

The answer for the given question is 67.

An equation is a mathematical statement made up of two expressions connected by an equal sign. 2x - 4 = 16 is an example of an equation. We get the value of the variable x as x = 10 after solving this equation.

Coefficients, variables, operators, and constants are all components of an equation.

An equation is formed by joining two expressions with an equal sign ("=").. The two expressions on either side of the equals sign are referred to as the equation's "left-hand side" and "right-hand side" The right-hand side of an equation is usually assumed to be zero. This will not reduce generality because we can balance it by subtracting the right-hand side expression from the expressions on both sides.

Let x be Vidya's height.

The equation will be determined by the given conditions:

x – 19 = 48

move the variable to the equation's left side:

x = 48 + 19

x = 67

Hence, the correct value for the given question is 67

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AAah! This is my third time aaasking pleeease. Why am I being ignored.

Answers

The value of x in the figure is 4

How to determine the value of x in the figure?

From the attached figure, we have the following parameters:

DE = x + 1

BC = 4x - 6

The triangles ADX and ABC are similar triangles

Based on the representation of the sides, we have:

BC = 2 * DE

So, we have

2 * (x + 1) = 4x - 6

Expand

2x + 2 = 4x - 6

Evaluate the like terms

2x = 8

Divide by 2

x = 4

Hence, the value of x in the figure is 4

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Keisha read 8 pages in her book each day for 5 days. Then, she r How many total pages did Keisha read?

Answers

Answer:

40

Step-by-step explanation:

I don’t know what to do

Answers

Answer:

8 - positive

9- no correlation

10- negative

11- positive

12- No correlation

13- negative

14- no correlation

15- no correlation

Step-by-step explanation:

8- Positive because the more hours a person has driven, the more number of miles he/she drives increases.

9- the number of siblings a student has should not affect the grade they have in math class

10- negative because as a car gets older, the value decreases

11- positive because the longer a cd is out the more sales they get

12- In a logical sense, it could be positive, because someone who dropped out of highschool will get paid less than someone who went to school for 18 years and graduated with a hs diploma. it can also mean no correlation. therefore I think it is positive.

13- negative because the more songs someone downloads, the more the ipods space decreases

14- no correlation, the amount of computers in your house does not change how much you message your friends

15- no correlation, your house can be 3 years old and have 5 people living in it

What did I do wrong ? Question is 7x + 5 = 6x

Answers

Answer: Look at the explanation.

Step-by-step explanation: So first you move the 6x to the left side of the equal sign, then u turn it into a negative number. Next, you do 7x-6x=5. Which is 2x=5. And to find x you do 5÷2. Which is 2.5.

Hope this helps!

Answer:

x = -5

Step-by-step explanation:

Let's solve the problem,

→ 7x + 5 = 6x

→ 7x - 6x = -5

→ [ x = -5 ]

Hence, the answer is -5.

phone numbers consist of 10 digits. how many phone numbers are possible in wilmington? 10000000 how many phone numbers are possible in wilmington if the number 7 cannot be used? 4782969 how many phone numbers are possible in wilmington if they must be divisible by 2 or 5? how many phone numbers are possible in wilmington if there are no repeated digits?

Answers

The phone numbers that are possible in Wilmington are 10000000. The phone numbers possible in Wilmington if the number cannot be used is 4782969. The phone numbers are possible in Wilmington if they must be divisible by 2 or 5 are 6000000. The phone numbers are possible in Wilmington if there are no repeated digits are 5040.

What is a digit?

A positional numeral system uses a single symbol, a numerical digit, to represent numbers. The word "digit" refers to the ten decimal (old Latin adjective decem meaning "ten") digits, which are the equivalent of the ten symbols used in the conventional base-10 numeral system. The word "digit" comes from the Latin word "digiti," which means "fingers."

The absolute value of the base determines the required number of different digits for a given numeral system with an integer basis. For instance, the base-10 decimal system requires ten digits (0 through 9), whereas the base-2 binary system just needs two digits (0 and 1).

Explanation:

The number after area code is of 7 digits.

a) [tex]10^{7} =10000000[/tex]

b) [tex]9^{7} =4782969[/tex]

c) X  X  X  X  X  X  X

    I   I    I   I    I    I    I

   10 10 10 10 10 10  0,2,4,6,8,5,i.e,6digits are possible

=[tex]10^{6} x6=6000000[/tex]

d)7!

=5040

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suppose electric power is supplied from two independent sources which work with probabilities 0.4, 0.5, respectively. if both sources are providing power enough power will be available with probability 1. if exactly one of them works there will be enough power with probability 0.6. of course, if none of them works the probability that there will be sufficient supply is o.

Answers

Answer:

What is the question

Step-by-step explanation:


Venus has switches at the top and bottom of her stairs to control the light for the stairwell. She notices that when the upstairs switch is up and the downstairs switch is down, the light is turned on.

c. If the upstairs switch is in the down position and the downstairs switch is in the up position, will the light be on?

Answers

If the upstairs switch is in the down position and the downstairs switch is in the up position, the light will be off

How to determine if the light will be on?

The given parameters are

Switches = 2 i.e. top and bottom

Also, we have:

When the upstairs switch is up and the downstairs switch is down, the light is turned on.

This means that the light is only on when the upstairs switch is up and the downstairs switch is down

Any other position of the switches, the light is off

From the question, we have

Upstairs switch is in the down position and the downstairs switch is in the up position

This is different from the required position to on the light

Hence, the light will be off

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what is the range of the function on the graph? i’m

Answers

Answer: y∈(-∞,3]

Step-by-step explanation:

[tex]y=-|x+1|+3[/tex]

What is the sum?I need help right now!!!

Answers

Answer:

12

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

BODMAS

start with solving 2^2 which is similar to 2×2 you get 4

2^2=4

4+3 =7

Solve for c.
a(c- b) = d

a. c = ab-d/a
b. c = d+ab/a
c. c = d-ab/b
d. c = d-ab/a​

Answers

Answer is D: c = d-ab/a

Answer:

a(c-b)=d

we open the bracket i.e expand it

ac-ab=d

make c the subject formula to get your answer

ac=d+ab

c=d+ab/a

[tex]\sqrt[3]{} \frac{1}{16} *(-\frac{54}{1} )[/tex]

Answers

The simplification of the expression ∛(1/16) × (-54/1) is -27√4/32.

What is defined as the Rationalization?

Rationalization is the process of removing a radical as well as imaginary number from of the denominator of an arithmetic fraction. That is, in a fraction, remove the radicals so that the denominator just includes a rational number.

Step 1: Multiply the numerator and denominator by the a radical that removes the radical from the denominator.Step 2: Ensure that all radicals have been simplified.Step 3: If necessary, simplify the fraction.

Now the expression is given as;

= ∛(1/16) × (-54/1)

= -54/ ∛16

Taking cube root of 16.

= -54/(4√4)

= -27/2(√4)

By the process of rationalization, multiply the numerator and denominator by the a radical that removes the radical from the denominator which is √4.

= -27×√4/2(√4×√4)

Simplifying the equation;

= -27√4/32

Therefore, the simplification of the expression is -27√4/32.

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What is the equation for the line that passes through the points (-4,-4) and (8,5)

Answers

Answer:

y = 3/4 x - 1

Step-by-step explanation:

We can use the point-slope form of the equation of a line.

y - y_1 = (y_2 - y_1)/(x_2 - x_1)(x - x_1)

y - (-4) = (5 - (-4))/(8 - (-4))(x - (-4))

y + 4 = (9/12)(x + 4)

y + 4 = (3/4)(x + 4)

y + 4 = (3/4)x + 3

y = (3/4)x - 1

three friends ate at restaurant. They ordered nachos for S19 95 and jalapeno poppers. Each friend paid $9.73, not including sales tax or tip, which was 1/3 of the total determine the cost of the jalapeno poppers​

Answers

The total cost of a Jalapeno is $ 9.24

Three friends ate at a restaurant and ate nachos for $19.95 and jalapeno poppers.

Three of them paid $9.73 each

So the total amount of money paid by three friends = 3×9.73

                                                                          = 29.19

Now we have to calculate the cost of jalapeno poppers

Therefore we have,

Total amount of money paid = cost of nachos + cost of jalapeno poppers

29.19 = 19.95 + cost of jalapeno poppers

The cost of jalapeno poppers =29.19 - 19.95

                                           = $9.24

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Answer: The cost is $9.24 for the peppers.

Step-by-step explanation: Just do math.

the probability that a carton of eggs taken from the cooler at a store will have at least one cracked egg is 2.5%.2.5%. what are the odds that a carton of eggs will have at least one cracked egg?

Answers

The odds that a carton of eggs will have at least one cracked egg is 97.5 %

The question has to do with probability

What is probability?

Probability is the likelihood for an event to occur. It is given by P(event) = number of required outcomes/total number of possible outcomes.

How to find the odds that a carton of eggs will have at least one cracked egg?

Given that the probability that a carton of eggs taken from the cooler at a store will have at least one cracked egg is 2.5%. Let the probability of at least one cracked egg be P(egg ≤ 1) = 2.5% = 0.025

Now, since we require the probability of  that a carton of eggs will have at least one cracked egg, that is the number of cracked is greater than 1.

Let the probability of cracked eggs greater than 1 be P(egg ≥ 1).

From the law of probability

P(egg ≤ 1) + P(egg ≥ 1) = 1

So,  P(egg ≥ 1) = 1 -  P(egg ≤ 1)

P(egg ≥ 1) = 1 -  0.025

P(egg ≥ 1) = 0.975

P(egg ≥ 1) = 0.975 × 100 %

P(egg ≥ 1) = 97.5 %

So, the odds that a carton of eggs will have at least one cracked egg is 97.5 %

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Describe the approximate shape of a distribution using the terms approximately
symmetric
bell shaped
screwed Left
screwed right
uniform
bimodal

Answers

The type of distributions represented by the given graphs in the question are as follows;

(a) Symmetric

(b) Bimodal

(c) Skewed right

(d) Uniform

(e) Skewed right

What are the types of distributions represented the graphs?

The definition and descriptions of the given terms are;

Approximately; The term is used to describe the state of things which is close to an actual thing or situation.

Symmetric; A distribution is symmetric when the area of the side on the left and on the right of the mean are equal and balance each other.

The distribution represented by the first figure, (a), can be described as a symmetric distribution

Bell shaped; A distribution that has a bell shaped graph, which usually represents a normal distribution, can be described as a bell shaped distribution.

The graph in option (a) can be described as a bell shaped distribution

Skewed left; The graph of a distribution is skewed left if it has a tail (smaller values) on the left of the graph

Skewed right; The graph of a distribution is skewed right if the tail is on the right of the graph.

The distributions represented by the graphs in (c) and (e) are right skewed

Uniform; A distribution is uniform if the shape of the graph is approximately rectangular.

The distribution in graph (d) is a uniform distribution

Bimodal; A distribution that has two peaks is said to be a bimodal distribution.

The distribution in graph (b) is approximately bimodal

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Tong draws 5 cards from a deck of 52 cards (which has 13 spades) without replacement. what is the probability of getting at most 2 spades?

Answers

As per the question, without replacement draw 5 cards from a deck of 52 playing cards. The probability to draw 5 cards can be written as:

[tex]P(getting2 spades) = \frac{P(E)}{n(E)} = \frac{13X12}{52X51} =\frac{1}{17}[/tex]

Therefore, the probability of getting at most two spades is [tex]\frac{1}{17}[/tex].

What is probability?

Probability is the method to measure the occurred events or the occurrence of the events. It is also used to analyze the outcomes of random events. To calculate the probability of a playing card which is [tex]52[/tex] in numbers. And it is divided into fours cards and each are in the count of [tex]13[/tex].These fours cards are heart, spades, diamond and club.

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8 + 3 (-s + 2 ) -5s - 1 - 4s

Answers

Answer:

13 - 12s

Step-by-step explanation:

= 8 - 3s + 6 - 5s - 1 - 4s

= 13 - 12s

Answer:

8+3=11

(-s + 2) - 5s - 1 - 4s = -10s + 1

If the average of x and y is 11 and the average of x, and y z is 5 what is the value of z

Answers

If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7

Given,

The average of x and y = 11

We know average = Sum of the terms / Number of terms

Then, the equation will become

[tex]\frac{x+y}{2}=11[/tex]
x+y =11×2

x+y =22

Average of x, y and z = 5

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

x+y+z = 5×3

x+y+z =15

Substitute the value of x+y

22+z=15

z =15-22

x = -7

Hence, If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7

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Solve. 4n - 6 (n + 1) > 12 (first blank is the inequality sign, second blank is the value) n

Answers

The solution to the inequality is: n < -9.

How to Solve an Inequality?

Given the inequality statement, 4n - 6 (n + 1) > 12, to solve for the value of n, we would isolate the n to one side of the inequality as shown below:

4n - 6 (n + 1) > 12

Distribute

4n - 6n - 6 > 12

Combine like terms

-2n - 6 > 12

-2n - 6 + 6 > 12 + 6

-2n > 18

Divide both sides by -2

-2n/-2 < 18/-2

n < -9

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3. In Mrs. Middleton's math class, there are 7 more boys than girls. If there are 29 total students in the class, how many boys are there?​

Answers

Convert the word problem into an equation as follows:

Let's use the variable 'x' for girls and 'x+7' for boys.

x + x + 7 = 29

Combine like terms

2x + 7 = 29

Subtract 7 from both sides

2x = 22

Divide 2 into 22 to get x

x=11 girls

x+7 = 18 Boys

I think 18 hope this helps

1 3 Given the resting heartrates below, determine the best measure of variability and calculate it. Heartbeats 48 55 60 61 62 63 64 65 66 66 68 70 70 71 71 72 74 74 75 76 77 77 78 79 81 86​

Answers

The best measure to determine the variability is mean which is equal to 69.48

We are given the data:

48, 55, 60, 61, 62, 63, 64, 65, 66, 66, 68, 70, 70, 71, 71, 72, 74, 74, 75, 76, 77, 77, 78, 79, 81 and 86​

The best measure to determine the variability is mean.

Total number of observations = 26

Sum of observations (S) will be:

S = 48 + 55 + 60 + 61 + 62 + 63 + 64 + 65 + 66 + 66 + 68 + 70 + 70 + 71 + 71 + 72 + 74 + 74 + 75 + 76 + 77 + 77 + 78 + 79 + 81 + 86​

S = 1809

Mean = Sum / total

Mean = 1809 / 26

Mean = 69.58

Therefore, the best measure to determine the variability is mean which is equal to 69.48

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Find the total amount given the original price and tax rate. round to the nearest hundredth if necessary. original price: $123.28 tax rate: 7.5% enter the correct answer in the box.

Answers

The Total amount to pay including the tax will be $132.52

In the given question, For the Total amount, we know that we have to add the Tax rate to the Principal amount. It is mentioned that the Principal amount P = $123.28 and the Tax rate is 7.5%. Firstly we have to calculate what amount of interest is to be charged upon the Principal amount. To calculate Interest we have the formula :

=>  I = (P * R)/100 , where I = Interest, P = Principal Amt, R = Interest Rate

=>  I = (123.28 * 7.5)/100   => I = 9.24

We get Interest amount = $9.24

To calculate the Total amount, We have the formula: T = P + I

where, T = Total Amount, P = Principal Amount, and I = Interest Amount

=>  T = 123.28 + 9.24  => T = 132.52

Hence, the Total Amount is $132.52

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A scale drawing of a rectangular park is 6 cm wide and 10 cm long. The actual park is 180 meters wide. What is the area of the actual park in square meters?

Answers

The area of the actual park in square meters will be 54000m².

How to calculate the area?

The length of the actual park will be:

= 180/6 × 10

= 300m

Width = 180m

Therefore, the area will be:

= Length × Width

= 300 × 180

= 54000 m²

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