If a system of linear equations has one solution, what does this mean about the two lines?

A. The same line
B. Parallel lines
C. Intersecting lines

Answers

Answer 1

Answer:

It means two lines intersected.

C is correct

Hope this helps!

:)

Answer 2

If a system of linear equations has one solution, this means that the lines are intersecting lines

Intersecting lines are lines that meet at a point.

For parallel lines, they do not meet at any point. Hence the system of equation formed by these lines does not have a solution

For two intersecting lines, the equation of both lines can be equated to get the unknown variable. This unknown variable will serve as the solution to the system of equation

Hence If a system of linear equations has one solution, this means that the lines are intersecting lines

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Related Questions

4) The diameter of a circle is 32m. The radius is represented by 4(x + 2).
Part A: Write an equation you can use to find the value of x.
Part B: What is the value of x?

Answers

Answer:

The value of x is 2

Step-by-step explanation:

Diameter = 2r -------------------------------------------------------------------(1)

where r is the radius

The value of the diameter = 32 m   and  radius is given to be 4(x+2)

substitute the above into equation (1)   and then solve for x

32  =  2 [ 4(x + 2)]

first open the inner bracket

32 = 2[4x + 8}

then open the outer bracket

32 = 8x + 16

subtract 16 from both-side of the equation

32 - 16 = 8x +16 - 16

16 = 8x

Divide both-side of the equation by 8

16/8  = 8x/8

2 = x

x = 2

Therefore, the value of x is 2

What is the value of s?
units
0
5
В
8
15
S
D

Answers

Consider the triangle ABD,

Here,

AB = 5

BD = 15

AD = s

As we know,

In a triangle, the sum of lengths of two sides is greater than the third side.

So,

[tex]5 + 15 > s[/tex]

[tex]15 + s > 5[/tex]

[tex]s + 5 > 15[/tex]

Now,

To satisfy the equation, the value of s can possibly be 11, 12, 13, 14, 15, 16, 17, 18, 19

Answer: the value of s is 17 units

Step-by-step explanation: youre welcome

Find the value of X

X=

Part B

Find the measure of RPS

A. 45

B. 36

C. 60

D. 64

Answers

Answer:

x=8

RPS = 36

Step-by-step explanation:

QPS = 180

The two angles that form QPS

QPR + RPS = 180

7x+88 + 3x+12 = 180

Combine like terms

10x+100 =180

Subtract 100 from each side

10x = 180-100

10x = 80

Divide by 10

x =80/10

x = 8

RPS = 3x+12

        = 3(8)+12

         24+12

        36

If you need 4 tables spoons of golden syrup to make 10 cupcakes, how many tables spoons of golden syrup will you need to make 4 cupcakes.​

Answers

Answer:

1.6 tablespoons

Step-by-step explanation:

Let’s make a proportion

syrup/cupcakes=syrup/cupcakes

4 tablespoons are needed for 10 cupcakes and x tablespoons are needed for 4 cupcakes.

4/10=x/4

Now we have to solve for x. x is being divided by 4. To reverse this, multiply both sides by 4, because multiplication is the opposite of division.

4*4/10=x/4*4

The 4s on the right will cancel, so we are left with:

4/4*10=x

1.6=x

So, 1.6 tablespoons are needed for 4 cupcakes.

Find the missing angle measurements

Answers

Answer:

The angle for the top of the triangle is 79. For the right corner would be 56. Then going to the bottom of the blue triangle vertice would be 75. The missing angle next to that one would be 55/

Step-by-step explanation:

Amy must choose a number between 55 and 101 that is a multiple of 3, 6, and 7. Write all the numbers that she could choose. If there is more than one number, separate them with commas.

Answers

Answer:

84

Step-by-step explanation:

L.C.M. of 3,6,7=42

42×1=42

42×2=84

42×3=126

55<84<101

If I have a probability of 2/5, what is the percentage of probability.


A. 52%

B. 40%

C. 2.5%

D. 80%

Answers

B 40
2 divide by 5= 0.4 which equals to 40%

Answer: 40%

Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.

So to write 2/5 as a percent, we need to find a fraction equivalent to 2/5 that has a 100 in the denominator.

We can do this by setting up a proportion.

[tex]So[/tex] [tex]we[/tex] [tex]have[/tex] [tex]\frac{2}{5} = \frac{n}{100}[/tex].

Now, we can use cross-products to find the missing value.

So we have (2)(100) which is 200 is equal to (5)(n) or 5n.

So we have 200 = 5n.

Next, dividing both sides of the equation by 5, we have 40 = n.

So 2/5 is equal to 40/100 or 40%.

Which function describes the graph shown below?

On a coordinate plane, a curve crosses the y-axis at (0, negative 2), increases to negative 2.5, decreases to negative 2.5, and then increases again.
y = one-half sine (x) minus 2
y = 2 sine (x) minus one-half
y = one-half cosine (x) minus 2
y = 2 cosine (x) minus one-half

Answers

Answer: A

Step-by-step explanation:

The amplitude is .5 and the vertical translation is -2. So, y= 1/2sin(x)-2

Answer:

A. y= 1/2 sin(x)-2

Step-by-step explanation:

Correct in edge 2021!

Can someone helpppppppppp

Answers

Answer:

A

Step-by-step explanation:

The reason it is A is because

It goes in biggest to lowest A B C D

C and B don't follow that so we are left with A and D

In answer D   C and B are too close in percentage therefore it cannot be D

Therefore your answer is A

Hope this helped!

Which statement about the credibility of this source is most accurate ? A.

Answers

Answer:

C. The source is credible because it contains facts and information that are accurate.

Step-by-step explanation:

The statistics(60%) used provide facts on the topic that make the source credible

Need Help Please, Stressing out :( and Thank you:)

Answers

Answer:

please don't be stressed :)

2. c

Step-by-step explanation:

2. if 1,000 is one kilogram then 1,412 = 1.412.

sorry i could only answer 1 but hope this helps

I think it is C, if I’m wrong, I’m really sorry !

A rectangle has a height of 7a^2 and a width of a^4+5a^2+4.

Express the area of the entire rectangle.

Answers

7a^6 + 35 a^4 + 28a^2

Find the value of x and y

Answers

Answer:

x=24 y=19

Step-by-step explanation:

2y=y+19

y=19

2x-8=x+16

x=16+8

x=24

Answer:

x = 24

y = 19

Step-by-step explanation:

Set the expressions with the x-variables together, and the y-variables together, like so:

2x - 8 = x + 16

Subtract x from both sides:

x - 8 = 16

Add 8 to both sides:

x = 24

Solving for y:

2y = y + 19

Subtract y from both sides:

y = 19

What is the range of the relation?
[(-4, 3), (-4, 4), (-3, 1), (1, 1)}
{-4, -4,-3, 1}
{-4, -3, 13
{1, 1, 3, 4]
{1,3,4​

Answers

So the right answer is of option D.

Look at the attached picture..

Additional Information:

The second components of a relation is called range

Hope it will be helpful to you. .

The range of the function is {-4, 4, -3, 1}.

What is the range of the function?

The range of a function is a set of all its possible outputs.

The range is the spread of the values of the output of a function. If we are able to calculate the maximum and the minimum values of the function, we can get an idea of the range of the function.

The given relation is;

[(-4, 3), (-4, 4), (-3, 1), (1, 1)}

The range of a function refers to the entire set of all possible output values of the dependent variable.

The range of a function is a set of all its possible outputs.

The range of the function is {-4, 4, -3, 1}.

Learn more about the range here;

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Find the interquartile range (IQR) of the data in the box plot below.

Asap ASAP Please PLZ

Answers

Answer:

3

Step-by-step explanation:

IQR is the difference between the upper and lower medians so the IQR = 7 - 4 = 3

The interquartile range (IQR) of the data in the given box plot is: 3.

What is the Interquartile Range (IQR) of a Data?

In a box plot, the interquartile range (IQR) is the difference between the upper quartile and the lower quartile which are represented as each edge of the rectangular box.

Upper quartile = 7Lower quartile = 4

Interquartile range (IQR) = 7 - 4

Interquartile range (IQR) = 3

Learn more about Interquartile range (IQR) on:

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Write the equation of the circle P graphed below.

Answers

(1,-4) the fourth axis i think is (+,-) the ex is one away from the origin and the y is 4 steps away from the origin

Does the function model exponential growth or decay?
h(t) = 0.25 - 1.5t
A.) growth
B.) decay

Answers

Answer: it’s growth

Step-by-step explanation:

The product of Jack's age and Florence's age is 266. Jack is 14 years
old. How old is Florence?

Answers

Answer:

19

Step-by-step explanation:

you divide 266 by 14

Answer:

19

Step-by-step explanation:

266 ÷ 14 = 19

NEED HELP ASAP
Find the volume of the cylinder. r measures 7 inches, height measures 8 inches ​

Answers

Answer:

1230.88

Step-by-step explanation:

Volume= pi(r^2)h

Volume=3.14(49)(8)

Volume=1230.88

Which set of side lengths is a Pythagorean triple?

A) 1, 3, 10
B) 4, 5, 9
C) 9, 40, 41
D) 16, 30, 44

Answers

Answer:

A 1,3,10

Step-by-step explanation:

3, 4, 10. This means that 3 and 4 are the lengths of the legs and 5 is the hypotenuse.

I believe the answer is A: 1, 3, 10. If that is wrong, I’m terribly sorry!!

Find the length of arc KN.
can a genius help me??please​

Answers

Answer:

Length KN = 2π/3 = 2.094

Step-by-step explanation:

Length KN = (mKN/360)2πr

Length KN = (40/360)2π3

Length KN = (1/9)6π

Length KN = 6π/9

Length KN = 2π/3 = 2.094

A line passes through the point (6,-6) and has a slope of 3/2. Write a equation in point-slope form for this line

Answers

Answer: [tex]y+6=\frac{3}{2} (x-6)[/tex]

Step-by-step explanation:

use the equation [tex]y-y_{1} =m(x-x_{1})[/tex]

we know the slope, y, and x, so plug in

[tex]y-(-6)=\frac{3}{2} (x-(6))[/tex]

[tex]y+6=\frac{3}{2} (x-6)[/tex]

Answer:

[tex]y=\frac{3}{2}x-15[/tex]

Step-by-step explanation:

The point-slope equation is [tex]y-y_{1} =m(x-x_{1} )[/tex]

Here our m is our slope which is [tex]\frac{3}{2}[/tex] and our [tex](x_{1},y_{1})[/tex] point is (6, -6)

Plugging in these values to our equation gives us

y - (-6) = [tex]\frac{3}{2}[/tex](x - 6) → distribute the negative to the -6 on the left side and then distribute the [tex]\frac{3}{2}[/tex] to the x term and the -6 on the right side → y + 6 = [tex]\frac{3}{2}x[/tex] - 9 → then subtract the 6 from both sides → [tex]y=\frac{3}{2} x-15[/tex]

The hourly wages earned by 20 employees are shown in the first box-and-whisker plot below. The person earning $15 per hour quits and is replaced with a person earning $8 per hour. The graph of the resulting salaries is shown in plot 2. A box-and-whisker plot is shown. The number line goes from 7 to 15. The whiskers range from 8 to 15, and the box ranges from 8.8 to 10.2. A line divides the box at 9.5. Plot 1 A box-and-whisker plot is shown. The number line goes from 7 to 15. The whiskers range from 8 to 11, and the box ranges from 8.7 to 10. A line divides the box at 9.6. Plot 2 How does the mean and median change from plot 1 to plot 2? The mean and median remain the same. The mean decreases, and the median remains the same. The mean remains the same, and the median decreases. The mean and median decrease.

Answers

Answer:

The mean decreases, and the median remains the same.

Step-by-step explanation:

Remember that a box plot is made by the quartiles of the distribution, the maximum value and the minimum value. So, from a box plot we can deduct the range, the median and the interquartile range.

In this case, the median remains the same at $9.5 per hour. The median is indicated by the middle line of the box, and you can observe that it doesn't change.

Now, the range of the data set decreases from 7 to 3.

On the other hand, the mean must decrease, because data greater than $11 doesn't exist in the box plot number 2, and the mean is a central measure sensible to those changes.

Therefore, the right answer is The mean decreases, and the median remains the same.

Answer:

the awswer is b

Step-by-step explanation:

took the test

What is the volume of the pyramid h=9.6 l=8.5 w=8.5

Answers

Answer:

V = 231.2

Step-by-step explanation:

v = (l * w * h )/3

Answer:

V ≈ 231.2

Step-by-step explanation:

Using the formula: V = 1/3 x L x W x H

A square pyramid has a base with a total area of 144 m2 and the volume of 384m3, what is the slant height of the pyramid

Answers

Answer:

8m

Step-by-step explanation:

Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;

a is the base edge

a² is the base area

h is the slant height

Given Volume of the pyramid V = 384m³

Base area a² = 144m²

h =?

On substituting to get the slant  height;

[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]

The slant height of the pyramid is 8m

Which ordered par Woud form a proportional relationship with the point graphed Below?

A (10,10)
B (25,35)
C (70,50)
D (90,60)​

Answers

D: (90,60) that’s the answer

100 to anyone who can answer all of these !!!

Answers

Answer:

24yrds is (a) 24.12yrds is (b) 64yrds is (c) And that's all i can do, don't get mad at me please.

Step-by-step explanation:

Which of the situations describes a temperature of –2 degrees?
2 degrees colder than 1 degree
2 degrees colder than 0 degrees
2 degrees warmer than 1 degree
2 degrees warmer than 0 degrees

Answers

2 degrees colder than 0 degrees because is comes before zero, therefore a negative 2

Answer:

B

Step-by-step explanation:

50 POINTS HELP ASAP

Answers

its 10 points not 50 Gzz

Answer:

its 10 points not 50

Step-by-step explanation:

PLEASE HELP 35 POINTS!!!!!!


In two or more complete sentences discuss the advantages and disadvantages of investing in a 529 plan versus investing in a money market account.

Answers

Answer:

Step-by-step explanation:

A 529 plan (Qualified tuition plan) is a tax-advantaged savings plan for future education costs while a money market account refers to a investment or a deposit with a financial institution that earns interest based on the current rates.

Money market deposit accounts are better choices than 529 plan for money you might need to tap at a moment’s notice to cover an emergency or an unexpectedly large expense. They pay higher interest than ordinary savings accounts and give you immediate access to your money

While in 529 savings plan, If you don’t use the money invested for college tuition, you will be penalized 10 percent when you withdraw the money to use it for something else. In addition, both your state and the federal government will tax the earnings on your account in your current tax bracket.

The basic advantage of 529 plan over money market account is the tax-advantage that is the amount invested or withdrawn is tax free. It also has high return and funds from it can be used for another beneficiary who is a qualified family member. Whereas the disadvantage is that the 529 plan is a specified fund for future education purposes. This makes it restricted as the fund can not be transferred for a different use. Unlike the money market account whose use is not restricted. It can be withdrawn to meet diverse financial needs including education. More so, funds in the money market account are insured and can be easily accessed.

In essence, the 529 plan is a specific investment while a money market account is more general in nature.

Answer:

im grounded bc i cheated with this

Step-by-step explanation:

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