so i will not give you the answer i will teach you how to do it.
In Mathematics, you must have learned about different types of equations. Here, we are going to discuss the difference between linear and nonlinear equations. The difference between them described here with the help of definitions and examples.
We come across a lot of equations while solving maths problems. Some equations include only numbers and some consist of only variables and some consists of both numbers and variables. Linear and nonlinear equations usually consist of numbers and variables.
Definition of Linear and Non-Linear Equation
Linear means something related to a line. All the linear equations are used to construct a line. A non-linear equation is such which does not form a straight line. It looks like a curve in a graph and has a variable slope value.
The major difference between linear and nonlinear equations is given here for the students to understand it in a more natural way. The differences are provided in a tabular form with examples.
What is the difference between Linear and Nonlinear Equations?
To find the difference between the two equations, i.e. linear and nonlinear, one should know the definitions for them. So, let us define and see the difference between them.
Linear Equations
Non-Linear Equations
It forms a straight line or represents the equation for the straight line It does not form a straight line but forms a curve.
It has only one degree. Or we can also define it as an equation having the maximum degree 1. A nonlinear equation has the degree as 2 or more than 2, but not less than 2.
All these equations form a straight line in XY plane. These lines can be extended to any direction but in a straight form. It forms a curve and if we increase the value of the degree, the curvature of the graph increases.
The general representation of linear equation is;
y = mx +c
Where x and y are the variables, m is the slope of the line and c is a constant value.
The general representation of nonlinear equations is;
ax2 + by2 = c
Where x and y are the variables and a,b and c are the constant values
Examples:
10x = 1
9y + x + 2 = 0
4y = 3x
99x + 12 = 23 and
Examples:
x2+y2 = 1
x2 + 12xy + y2 = 0
x2+x+2 = 25
Note:
The linear equation has only one variable usually and if any equation has two variables in it, then the equation is defined as a Linear equation in two variables. For example, 5x + 2 = 1 is Linear equation in one variable. But 5x + 2y = 1 is a Linear equation in two variables.
Let us see some examples based on these concepts.
Solved Examples
Example: Solve the linear equation 3x+9 = 2x + 18.
Solution: Given, 3x+9 = 2x + 18
⇒ 3x - 2x = 18 - 9
⇒ x = 9
Example: Solve the nonlinear equation x+2y = 1 and x = y.
Solution: Given, x+2y = 1
x = y
By putting the value of x in the first equation we get,
⇒ y + 2y = 1
⇒ 3y = 1
⇒ y = ⅓
∴ x = y = ⅓
What is the key difference between non-linear and linear equations?
A linear equation is used to represent a straight line in a graph, whereas non-linear equations are used to represent curves.
How does the graph of linear and non-linear equations look?
A linear equation graph is a constant slope whereas the graph of the non-linear equation shows the variation in slope at different points.
How is the linear equation represented? Give an example.
The general representation of linear equation is y = mx+c,
where m = slope of the line
x and y are the variables
c is the intercept (constant value)
Example: 2x+y=1
y=-2x+1
How is the nonlinear equation formed?
A non-linear equation is generally given by ax2+by2 = c
where x and y are variables
a,b and c are constant values.
60 percent of what number is 30?
Answer:
the answer willl be 50%
The 60 percent of 50 equals 30.
To find what number is 60 percent of 30, you can set up the following equation:
0.60 * x = 30
Here, 'x' represents the unknown number that is 60 percent of 30. To solve for 'x,' divide both sides of the equation by 0.60:
x = 30 / 0.60
Now, perform the division:
x = 50
Therefore, 60 percent of 30 is 50. In other words, 50 is the number you are looking for, which is 60 percent of 30. You can verify this by calculating 60 percent of 50:
0.60 * 50 = 30
As expected, 60 percent of 50 equals 30.
To know more about percent:
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Keith is the team manager for his school's soccer team. He is ordering team uniforms for the upcoming season. • Uni-Fit charges $19.99 per uniform and $30 for packing and shipping. • All-Forms charges $14.99 per uniform and $50 for packing and shipping. Which inequality should Keith use to find n, the minimum number of uniforms that can be ordered so that the total cost at Uni-Fit is less than the total cost at All-Forms? A. 19.9977 80 < 14.9911 | 50 B. 19.99 307 > 14.99-50n C. 19.997 50 14.999 30 D. 19.99 507 14.99 30n please help me ASAP please and thank you so much
What is the value of the expression x-3y when x=6 and y=12
Answer:
-30
Step-by-step explanation:
Original Equation:
x - 3y
Plug in the values.
6 - 36
-30
Hope I helped :)
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What is the slope of this line
Which statements are true about the reflectional
symmetry of a regular heptagon? Select two options.
It has only 1 line of reflectional symmetry.
A line of symmetry will connect 2 vertices.
O A line of symmetry will connect a vertex and a
midpoint of an opposite side.
It has 7-fold symmetry.
A line of symmetry will connect the midpoints of 2
opposite sides. lol
A line of symmetry will connect a vertex and a midpoint on an opposite side of a regular heptagon has 7-fold symmetry.
What is symmetry?" Symmetry is defined as the line which divides the geometrical shape into two equal proportion."
According to the question,
Regular heptagon is a polygon with 7equal sides.
Line of symmetry will connect a vertex and a midpoint of an opposite sides.
There are seven such possibilities.
Number of lines of symmetry in regular polygon is same number of sides of polygon.
Hence, regular heptagon has 7-fold symmetry.
Learn more about symmetry here
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Answer:
c. a line of symmetry will connect a vertex and a midpoint of an opposite side
d. it has a 7-fold symmetry
Step-by-step explanation:
A plumber charges a one-time service fee of $20 in addition to his hourly
rate of $25 per hour. If the plumber went to your house to work on your
bathtub and the bill came to $145.00, how many hours did it take him to
complete the job?
Answer:
Three hundred fifty-five
Answer: 10.5
Step-by-step explanation:
20+25x=282.50
Subtract 20 on both sides
262.50
Divide each side by 25
You get 10.5
HELP! Ev evaluate the square root of 16 plus the square root of 29, correct to two decimal places.
Answer:
[tex]\sqrt{16} +\sqrt{29} =9.39[/tex]
Step-by-step explanation:
[tex]\sqrt{16} =4[/tex]
[tex]\sqrt{29}[/tex] ≅ [tex]5.39[/tex]
[tex]4+5.39=9.39[/tex]
Answer:
9.39
Step-by-step explanation:
[tex]\sqrt{16}[/tex] = 4
[tex]\sqrt{29}[/tex] = 5.39
4 + 5.39 = 9.39
Membership to a music club costs $55. Members
pay $10 per music lesson and nonmembers pay
$15 per music lesson. How many music lessons
would have to be taken for the cost to be the
same for members and nonmembers?
Answer:
Step-by-step explanation:
Members:
[tex]55/10=5.5[/tex]
Nonmembers:
[tex]55/15=3.6[/tex]
3. Evan works at McDonalds and works 15-20 hours each week. What is the domain and
range if he gets paid 8 dollars per hour?
Answer:
RANGE: 120 - 160
Step-by-step explanation:
15*8 = 120
20*8 = 160
RANGE: 120 - 160
The average July temperature in Texas is 99 degrees Fahrenheit. The actual July temperature for a city may be about 5 degrees hotter or cooler. Write an absolute value equation to find the minimum and maximum temperatures.
I forgot how to write absolute value equations plz help asap
Answer:
| x-99 | =5
Step-by-step explanation:
x equals the temperature on that day
Can someone help me please ASAP?
The darker shaded ones are positive and the lighter ones are negative.
You just have to find which one is greater.
PLEASE HELP ASAP
help me with geometry
Answer:
I'm pretty sure its 3/2
Step-by-step explanation:
if the rest of the sides are 3/2, and all of the angles are the same, then the other side is the same ratio, since the triangles are similar
If the number 45 is multiplied by 100 in what place value will the 4 be
Answer: The 1000s Place
Step-by-step explanation:
45 x 100 = 4500, therefore 4 is located in the 1000s place.
thousands place!!
i hope i helped!! :)
Find the slope
5x - 2y = 10
M=_______
Suppose the length and width of the rectangle are doubled. What effect would this have on the perimeter?
Answer: The perimeter is doubled
Step-by-step explanation:
When you double the length and width you have 2l as length and 2w as width. The new perimeter is 2(2l)+2(2w)=2(2l+2w). This means that when you double both sides, the perimeter is doubled.
1. How do I find the slope of (2,4) (4,7)
Answer: 3/2
Step-by-step explanation:
Rise over run!!!
Subtract y values, divide that by the subtracted x values.
7-4/4-2= 3/2
Help needed asap please?
Answer:
its 72
Step-by-step explanation:
i already solved this question yesterday. :)
this is hardddddddddd i think
Answer: 7x² - 14x
Steps: 7(-2x + x²)
Apply the distributive law [ a(b + c) = ab + ac ]: 7(-2x) + 7x²
Apply negative/positive rules: -7 × 2x + 7x²
Simplify: 7x² - 14x
Find the difference (10m+3)-(4m-2)
Answer:
6m + 5
Step-by-step explanation:
Answer:
6 +5 m
Step-by-step explanation:
(01.01 LC)
Which of the following is the set of all points in a plane that are a given distance from a point?
Angle
Circle
Line
Ray
Answer:
Circle
Explanation:
I just took the test and got it right.
Can anybody help pls
Answer:
4?
Step-by-step explanation:
There's only 5 teams. (I'm not sure tho)
(3^2) + 3^0 + 3^13 • 3^5
Please help me with this, look at the photo because I’ve been stuck in this question for a long time.
Which choice is equivalent to 6(y-3)+2y-2
A. 8y-20
B. 4y-20
C. 8y-5
D. 8y-16
Answer: its 8y-20
You need to rmove the parenthesis and combine like terms
Brady noticed that there were 38 cars in the parking lot. 7 of the cars were blue.
What decimal represents the percent of the cars that were blue? Round your answer to the nearest hundredth.??????!!!! Help! :)
Answer:
Step-by-step explanation:
7 blue cars out of 38 cars.
To find the percentage you just divide using your calculator and you should get something like this :
[tex]\frac{7}{38}[/tex] = 0.1842105263
Then you just round that to the nearest hundredth.
If you round 0.184 to the nearest hundredth, it will be 0.18 (You have to round down since the number 4 in the thousandth place is smaller than 5)
can someone help me with these 2?
Answer:
A. and D.
Step-by-step explanation:
Match the side lengths with each other. For 3), the reflect each other, so RQ would be parallel to RV. For 4), it is upside down, so if you were to flip it around, it would be MK is parallel to RS.
<3
what's the slope of the line
Answer:
[tex]m=2[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in 2 coordinates into the slope formula to find slope m:
(0, 0)
(1, 2)
[tex]m=\frac{2-0}{1-0}[/tex]
[tex]m=\frac{2}{1}[/tex]
[tex]m=2[/tex]
Answer:
2/1
Step-by-step explanation:
look at how many square up for every square across.
rise over run
answer
2/1
Use the graph below to find the coordinates of J'after J(-5, 1) was reflected over the linex=-3.
Answer:
J's would be (-5,-4) if J was reflected over the line x=3.
What goes in the blanks "Equations: The variables ____ and _____. Are only ____ or ______ together. Are not in _____, ______ or _______ signs."
This is also about linear functions
Answer:
The variables x and y. Are only positive or negative together. Are not in denominator, exponent, or radical signs.
I believe this is correct if referring to Ax+By=C (standard form linear equation)
What is the slope of the line through (-9,6) and (-6, -9)?
Choose 1 answer:
1/5
5
-5
-1/5
I hate algebra
What is the length of one side of the pyramid space?
Answer:
136 units
Step-by-step explanation:
it would be 116 units because you add up 15 plus 17 and get 32 then subtract 90 from 32 and get 58
then multiply 58 by 2 and get 116 units
90 degrees per side of pyramid
