Complexes with a coordination number 4 mostly adopt tetrahedral and squar planar geometries.
What is geometry?Geometry is a subfield of mathematics that examines the measurement and relationships of surfaces, solids, solid surfaces, angles, and points.Ge and metria, two Greek terms that signify "measuring," are the origin of the word geometry. The foundation of geometry has been the method of geometry devised by the Ancient Greeks for more than 2000 years.The calculation of a triangle's angles is a geometry example.Plane geometry, solid geometry, and spherical geometry are the three most popular types of geometry.Complexes with a coordination number 4 mostly adopt tetrahedral and squar planar geometries.
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!!!!!50 POINTS IF AND BRAINLEST IF ANSWERED CORRECTLY !!!!!!
By the end of the summer, Tammy and Keith had mowed the same number of lawns and raked the same
number of yards. Keith had met his goal of earning more than $180 but Tammy did not meet her goal of
earning more than $200.
B.) What is a possible combination of the number of lawns they could have each mowed and the
number of yards they could have raked? Explain how you chose the combination and why you
know that combination is correct.
1) The Inequalities for Tammy and Keith are respectively; For Tammy: 10x + 5y > 200 and for Keith: 12x + 3y > 180
2) The possible combination of the number of lawns they could have each mowed and the number of yards they could have raked are;
(11, 17), (14, 5), (16, 0), (18, 2)
How to create Inequalities?Tammy earns $10 for each lawn mowed.
Tammy earns $5 for each yard raked.
We are told that She wants to earn more than $200 from her part-time jobs. Thus, the inequality for Tammys would be;
10x + 5y > 200
Keith earns $12 for each lawn mowed
Keith earns $3 for each yard raked.
We are told that Keith wants to earn more than $180 for each part time job. Thus, the inequality is;
12x + 3y > 180
B) To know the possible combination of the number of lawns they could have each mowed and the number of yards they could have raked, i have drawn a graph of both inequalities and the possible points from there are;
(11, 17), (14, 5), (16, 0), (18, 2)
The complete question is;
Tammy and Keith each work two part-time jobs in the summer mowing lawns andraking yards . Tammy earns $10 for each lawn she mows and $5 for each yard sherakes . She wants to earn more than $200 from her part-time jobs . Keith earns $12 for each lawn he mows and $3 for each yard he rakes. He wants to earn more than $180 for each part time job.
A) Write a system of Inequalities to model the number of lawns they each mow (x) and the number of yards they each rake.
B.) What is a possible combination of the number of lawns they could have each mowed and the number of yards they could have raked? Explain how you chose the combination and why you know that combination is correct.
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Can anyone help me solve these linear systems using substitution?
1. 3x-y=4
x+2y=6
2. 2x-y= -39
x+y= -21
3. 2x+y =11
6x-5y =9
The system of the linear systems of equation using substitution is;
x = 2, y = 2 x = -20, y = -1Linear equation3x-y=4
x+2y=6
from (2)
x = 6 - 2y
substitute into (1)
3x-y=4
3(6 - 2y) - y = 4
18 - 6y - y = 4
- 6y - y = 4 - 18
-7y = -14
y = 2
Substitute into
x+2y=6
x + 2(2) = 6
x + 4 = 6
x = 6 - 4
x = 2
2. 2x-y= -39
x+y= -21
From (2)
x = -21 - y
substitute into
2x-y= -39
2(-21 - y) - y = -39
-42 - 2y - y = -39
- 2y - y = -39 + 42
- 3y = 3
y = 3/-3
y = -1
substitute into
x+y= -21
x + (-1) = -21
x - 1 = -21
x = -21 + 1
x = -20
3. 2x+y =11
6x-5y =9
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What are the steps to my answer?
Answer:
f[g(x)] = 4x²+6x-3Step-by-step explanation:
f[g(x)]=(2x)²+3(2x)-3...substitute the values of g(x) into the function f(x)f[g(x)]=4x²+6x-3...simplifiedGiven the functions f(x) = –4ˣ + 5 and g(x) = x³ + x² – 4x + 5, what type of functions are f(x) and g(x)? Justify your answer. What key feature(s) do f(x) and g(x) have in common? (Consider domain, range, x-intercepts, and y-intercepts.)
Answer:
f(x) is an exponential functiong(x) is a polynomial function of degree 3Key common features: same domain, both have one x-intercept and one y-intercept.Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=-4^x+5\\g(x)=x^3+x^2-4x+5 \end{cases}[/tex]
Function f(x)This is an exponential function.
An exponential function includes a real number with an exponent containing a variable.
x-intercept (when y = 0):
[tex]\begin{aligned}f(x) & = 0\\\implies -4^x+5 & =0\\ 4^x &=5\\\ln 4^x &= \ln 5\\x \ln 4 &= \ln 5\\x&=\dfrac{ \ln 5}{\ln 4}\\x&=1.16\:\: \sf(2\:d.p.)\end{aligned}[/tex]
Therefore, the x-intercept of f(x) is (1.16, 0).
y-intercept (when x = 0):
[tex]\begin{aligned}f(0) & = -4^{0}+5\\& = 1+5\\& = 6\end{aligned}[/tex]
Therefore, the y-intercept of f(x) is (0, 6).
End behavior
[tex]\textsf{As }x \rightarrow \infty, \: f(x) \rightarrow \infty[/tex]
[tex]\textsf{As }x \rightarrow -\infty, \: f(x) \rightarrow 5[/tex]
Therefore, there is a horizontal asymptote at y = 5 which means the curve gets close to y = 5 but never touches it. Therefore:
Domain: (-∞, ∞)Range: (-∞, 5)Function g(x)This is a polynomial function of degree 3 (since the greatest exponent of the function is 3).
A polynomial function is made up of variables, constants and exponents that are combined using mathematical operations.
x-intercept (when y = 0):
There is only one x-intercept of function g(x). It can be found algebraically using the Newton Raphson numerical method, or by using a calculator.
From a calculator, the x-intercept of g(x) is (-2.94, 0) to 2 decimal places.
y-intercept (when x = 0):
[tex]\begin{aligned}g(0) & = (0)^3+(0)^2-4(0)+5\\& = 0+0+0+5\\& = 5 \end{aligned}[/tex]
Therefore, the y-intercept of g(x) is (0, 5).
End behavior
[tex]\textsf{As }x \rightarrow \infty, \: f(x) \rightarrow \infty[/tex]
[tex]\textsf{As }x \rightarrow -\infty, \: f(x) \rightarrow - \infty[/tex]
Therefore:
Domain: (-∞, ∞)Range: (-∞, ∞)Conclusion
Key features both functions have in common:
One x-intercept (though not the same)One y-intercept (though not the same)Same unrestricted domain: (-∞, ∞)If $300 is invested at a rate of 6% per year and is compounded quarterly, how much will the investment be worth in 12 years?
$145.23
$358.69
$613.04
$618.41
Answer:
$613.04
Step-by-step explanation:
Compound Interest Formula:
[tex]A = P(1+\frac{r}{n})^{nt}[/tex]
n = number of compounds
t = time
r = interest rate
P = principle amount (original amount)
A = final amount
Since it's compounded quarterly, that means there will be 4 compounds per year, so n=4. The interest rate has to be converted to the decimal value, and this is done by simply dividing it by 100 to get r=0.06.
Plug Values into equation:
[tex]A = 300(1+\frac{0.06}{4})^{12*4}[/tex]
Simplify inside parenthesis
[tex]A = 300(1.015)^{48}[/tex]
Calculate exponent
[tex]A \approx 300(2.043478)[/tex]
Multiply values
[tex]A \approx 613.04348[/tex]
Round
[tex]A = 613.04[/tex]
Tanya is training a turtle for a turtle race. For every 1/3 of an hour that the turtle is crawling, he can travel 2/23 of a mile. At what unit rate is the turtle crawling?
Answer: 6/23 mph
Step-by-step explanation: We change the 1/3 of an hour to 1 hour by multiplying 1/3 and 2/23 by 3. 1/3 times 3 is 1(hour) and 2/23 x 3 is 6/23(miles). So the unit rate the turtle is traveling at is 6/23 mph.
Midpoint of US=
Help me please thanks so much
Given the point U and point V, the midpoint between of the line segment UV is ( 0, -5/2 ).
What is the midpoint of line UV?
The midpoint formula is used to find the midpoint of a line segment.
It is expressed as;
[ (x₁ + x₂ )/2 , (y₁ + y₂ )/2 ]
Given the data in the graph,
Point U = ( 3, -1 ) and Point V = ( -3, -4 )
x₁ = 3x₂ = -3y₁ = -1y₂ = -4We substitute into the formular above.
[ (x₁ + x₂ )/2 , (y₁ + y₂ )/2 ]
[ (3 + (-3) )/2 , ( (-1) + (-4) )/2 ]
[ 0/2, (-1-4)/2 ]
[ 0/2, -5 /2 ]
( 0, -5/2 )
Given the point U and point V, the midpoint between of the line segment UV is ( 0, -5/2 ).
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Grade 11 Circle Geometry(Tagents)(Find g)
Answer:
g = 4
Step-by-step explanation:
if 2 tangent segments are drawn to a circle from the same external point then they are congruent , that is
RJ = RW and MJ = MB and KB = KW
given MR = 6 , then
MJ = 6 - g = MB
given KM = 5 , then
KB = 5 - MB = 5 - (6 - g) = g - 1 = KW
given KR = 7 , then
RW = 7 - KW = 7 - (g - 1) = 8 - g
Then
RJ = RW , that is
g = 8 - g ( add g to both sides )
2g = 8 ( divide both sides by 2 )
g = 4
Use appropriate algebra and theorem 7. 2. 1 to find the given inverse laplace transform. (write your answer as a function of t. ) ℒ−1 1 s7
The given function s/(s^2 +3s -4) is proved with the help of inverse Laplace theorem.
According to the statement
we have to find the inverse of the Laplace theorem with the help pf the given theorem in the statement.
So, For this purpose, we know that the
Laplace transformation is a transformation of a function f(x) into the function g(t) that is useful especially in reducing the solution of an ordinary linear differential equation with constant coefficients to the solution of a polynomial equation.
Now, We assume you want to find the inverse transform of [tex]s/(s^2 +3s -4).[/tex]
This can be written in partial fraction form as
[tex]\frac{(4/5)}{(s+4)} + \frac{(1/5)}{(s-1)}[/tex]
which can be found in a table of transforms to be the transform of
[tex]\frac{4}{5} e^{-4t} + \frac{1}{5} e^t[/tex]
There are a number of ways to determine the partial fractions. They all start with factoring the denominator.
[tex]s^2 +3x -4 = (s+4)(s-1)[/tex]
After that, you can postulate the final form and determine the values of the coefficients that make it so.
For example:
[tex]\frac{A}{(s+4)} + \frac{B}{s-1} = (A+B)s + \frac{(4B-A)}{(s^2 +3x -4)}[/tex]
This gives rise to two equations:
(A+B) = 1
(4B-A) = 0.
So, The given function s/(s^2 +3s -4) is proved with the help of inverse Laplace theorem.
Disclaimer: This question was incomplete. Please find the full content below.
Question:
Use appropriate algebra and theorem 7.2.1 to find the given inverse laplace transform. (write your answer as a function of t.) ℒ−1 s s2 + 3s − 4.
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3. What kind of triangle is represented by the triangle shown below?
Isosceles
Right
O Equilateral
Scalene
Answer:
c
Step-by-step explanation:
In geometry, an equilateral triangle is a triangle in which all three sides have the same length.
a section of a circle has both endpoints on the circle. what is the section of the circle called
Answer:
ChordStep-by-step explanation:
What is chord?A chord is a straight line that connects two points on a curve. An arrangement of three or more notes that blend harmoniously when played together.
A section of a circle has both endpoints on the circle. Chords are the sections of a circle.
Therefore, the final answer is "chords".
I hope this helps, let me know if you have any questions.
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What are angles <3 and <4 ?alternate interior angles
alternate exterior angles
vertical angles
corresponding angles
. The set of possible values of x is {-8, -3, 7}. If
5y = x-2, what is the set of possible values of y?
Answer:
{-2, -1, 1}
Step-by-step explanation:
Since we are given all the possible inputs {-8, -3, 7} we can use them one by one in the equation to find the outputs.
5y = x - 2 , if x is -8
5y = -8 - 2
5y = -10
y = -2
Next,
5y = x - 2, if x = -33
5y = -3 - 2
5y = -5
y = -1
Last,
5y = x - 2 when x =7
5y = 7 - 2
5y = 5
y = 1
So the set is {-2, -1, 1}
Kelley writes the expression n 2 to model the phrase "xander studied two more hours than nandini." which best explains the accuracy of kelley’s expression? it is accurate. in the phrase "two more hours than nandini," "two" is "2," "more" is " ," and nandini’s study time is unknown or "n," so 2 n or n 2 are correct translations. it is inaccurate. in the phrase "two more hours than nandini," "two" is "2," "more" is " ," and nandini’s study time is unknown or "n," so 2 n is the correct translation. it is inaccurate. in the phrase "two more hours than nandini," "two" is "2," "more than" is ">," and nandini’s study time is unknown or "n," so 2 greater-than n is the correct translation. it is inaccurate. in the phrase "two more hours than nandini," "two" is "2," "more than" is "<," and nandini’s study time is unknown or "n," so 2 less-than n is the correct translation.
It is accurate. In the phrase “two more hours than Nandini,” n + 2 are correct translations. Then the correct option is A.
What is Algebra?Algebra is used to analyze mathematical symbols, and logic is used to manipulate those symbols.
As an example, Kelley models the sentence "Xander studied two more hours than Nandini" using the equation n + 2.
Consequently, the following will describe Kelley's expression's accuracy the best:
It is precise. Since "two" is translated as "2," "more" as "+," and "Nandini's study time is unknown or "n," 2 + n or n + 2 are the appropriate translations for the sentence "two more hours than Nandini."
So, option A is the best choice.
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I understand that the question you are looking for is :
Kelley writes the expression n + 2 to model the phrase “Xander studied two more hours than Nandini.” Which best explains the accuracy of Kelley’s expression?
It is accurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more” is “+,” and Nandini’s study time is unknown or “n,” so 2 + n or n + 2 are correct translations.
It is inaccurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more” is “+,” and Nandini’s study time is unknown or “n,” so 2 + n is the correct translation.
It is inaccurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more than” is “>,” and Nandini’s study time is unknown or “n,” so 2 greater-than n is the correct translation.
It is inaccurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more than” is “<,” and Nandini’s study time is unknown or “n,” so 2 less-than n is the correct translation.
(50 POINTS PLEASE HELP!!!)
!!!THE QUESTION THAT I NEED TO BE ANSWERED IS THE PICTURE ATTACHED!!! BELOW IS JUST THE REQUIREMENTS AND EXAMPLE!!!
He has hired you as their new production manager. Your job is to look at four different figures and determine which would best suit the needs of the company for packaging the candy. You will choose one of the four options shown below. The candy is animal gummies. The package must hold between 80 and 100 cubic inches (roughly 5-7 cups of space). The cost of the plastic for the packaging is $0.004 per square inch. When finding cost you would multiply the Total Surface Area by $0.004.
For example:
Total Surface Area = 86 sq. in
Cost per sq in = $0.004
86 * .004 = .344 when rounded to nearest penny = $0.34
Your project should include the volume, total surface area, and materials cost for each figure given below, including the formulas you used and each step of your work. Be sure to find all measures for each figure, even if the figure does not meet the restraints that the company has given. Make sure to use the formulas given in your lessons, round your volume and area to the nearest hundredth, and round your cost to the nearest penny.
The figure in the question is a box with dimensions of 6 in. by 2 in. by 9 in., which gives;
Surface area of the packaging = 168 in.²Package volume = 108 in.³Cost of packaging = $0.672Which method can be used to provide the packaging estimates for the company?The dimensions of the box in the given figure are;
Length, L = 9 in.
Width, W = 2 in.
Height, H = 6 in.
The surface area, A, of a box is found using the following formula;
A = 2•L•W + 2•L•H + 2•H•W
Therefore;
A = 2×9×2 + 2×9×6 + 2×2×6 = 168
The surface area of the figure, A = 168 in.²The volume of a box, V, is calculated as follows;
V = L•W•HFor the given figure, therefore;
V = 9 × 2 × 6 = 108
The volume of the given figure, V = 108 in.³Cost of packaging per square inch, c = $0.004
Cost to package the figure, C, is therefore;
C = c × AWhich gives;
C = $0.004/in.² × 168 in.² = $0.672
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Due today please help!!
The product of three consecutive integers is 210. What is their sum?
Answer:
3 consecutive no.s are
5×6×7=210
sum of them is= 5+6+7
=18
So, I hope. it helps !!
i don't know how to solve this. help please?
Answer:
51 74
Step-by-step explanation:
x = smaller
x +23 = larger
added together (x + x+23) equal to 28 less than 3x = 3x-28
x + x+23 = 3x-28 subtract 2x from both sides of the equation
23 = x -28 add 28 to both sides
51 = x then the larger = 51 + 23 = 74
Answer:
51 and 74
Step-by-step explanation:
Let the smaller of the two numbers be represented by x. The larger of the two numbers is 23 greater than the smaller, and therefore can be written as x + 23.
Set up an EquationFirst, we can write the sum of the two numbers in terms of the smaller number. "three times the smaller" is 3x, and "28 less" is 3x-28.
Therefore our equation is:
[tex]x+x+23=3x-28[/tex]
Solve the EquationStart by adding like terms
[tex]2x+23=3x-28[/tex]
Subtract 23 from both sides
[tex]2x=3x-51[/tex]
Subtract 3x from both sides
[tex]-x=-51[/tex]
Divide both sides by -1
[tex]x=51[/tex]
The larger term is: [tex]x+23\Rightarrow51+23\Rightarrow74[/tex]
Check[tex]51+74=125[/tex]
[tex]3(51)-28=153-28=125[/tex]
[tex]125=125[/tex]
The smaller number is 51 and the larger number is 74
The daily high temperature of Elk Creek drops by 1.2°C every day. What is the net change in the daily high temperature after two calendar weeks?
[tex]1.2 \: degrees \: drop \: a \: day \\ 14 \: days \: in \: two \: weeks \\ net \: change = 14 \times 1.2 = 16.8 \: deg[/tex]
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match each solid cone to its surface area. Answers are rounded to the nearest square unit.
829 square units
628 square units
444 square units
996 square units
8 units
12 units
525 square units
>
758 square units
Rounded to the nearest square units, the surface area of the cone, is: 524 square units.
How to Find the Surface Area of a Cone?The surface area of a cone = πr(r + l), where:
r is the radius of the cone
l is the length of the cone.
Given the following:
Radius of the cone (r) = 12/2 = 6 units
Slant height of the cone (l) = √(21² + 6²) [Pythagorean theorem]
Slant height of the cone (l) = 21.8 units.
Plug in the values into πr(r + l):
Surface area of the cone = π × 6(6 + 21.8)
Surface area of the cone = 3.14 × 6(27.8)
Surface area of the cone ≈ 525 square units
The surface area of the cone, approximated to the nearest square units, we have: 524 square units.
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What is the value of the expression when n = 3?
StartFraction 6 (n squared plus 2) Over n EndFraction
16
22
30
66
Answer:
B) 22
Step-by-step explanation:
The expression is:
[tex]\cfrac{6(n^2+2)}{n}[/tex]Find its value when n = 3, substitute n with 3 in the expression:
[tex]\cfrac{6(3^2+2)}{3} =\cfrac{6(9+2)}{3} =\cfrac{6(11)}{3}=2(11) = 22[/tex]The matching answer choice is B.
What is the ratio of the area of the triangle to the area of the rectangle?
the right side is 4mm and the bottom is 11 mm
the ratio of the area of the triangle to the area of the rectangle is 1: 2
How to determine the parametersThe formula for calculating the area of a triangle is;
Area of triangle = 1/ 2 base × height
The formula for area of a rectangle is;
Area of a rectangle = length × width
From the information given, we have;
width = 11mmbase = 11mmheight = 4mmlength = 4mmNow, let's substitute the values;
Area of a triangle = 1/ 2 × 11 × 4
Area of a triangle = 44/ 2 = 22m²
Area of a rectangle = 11 × 4
Area of a rectangle = 44m²
The ratio of the area of the triangle to the area of the rectangle is
= 22: 44
= 1 : 2
Thus, the ratio of the area of the triangle to the area of the rectangle is 1: 2
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Please help!! 100 points
A system of inequalities is shown.
Which system is represented in the graph
Answer:
The second option.
y > x^2 + 4x -2
y < 3x +4
Step-by-step explanation:
First off, we can eliminate the last option because the graph shows that both inequalities are greater than or less than, but not equal to. We come to this conclusion because both lines on the graph are dashed meaning not equal to. Look at the attached image below (1).
Next, we can input the point (0,0) and test to see if the inequality works. If we input the point (0,0) into the second equation in the second option, we end up with 0 < 4. This is factual meaning that this is your answer.
Hope this helps! If I wasn’t clear enough or you need more information, please let me know in the comments. Have an amazing day!
Consider a situation where your sales have been quite stable in the month, but you have done exceptionally better in the past two days. what trendline is more sensitive to this change?
The trendline has a positive slope and 3-day moving average is the trendline that is more sensitive to this change.
In this question,
Trendlines are used to give traders a good idea of the direction an investment's value might move. In a healthy trend, it's ideal to enter your trades on a pullback (towards the moving average).
Understanding the direction of an underlying trend is one of the most basic ways to increase the probability of making a successful trade because it ensures that the general market forces are working in your favor.
A moving average is a technical indicator that investors and traders use to determine the trend direction of securities. It is one of the commonly used technical tools best known as trend following or lagging indicator, because it is based on past prices.
The sales have been quite stable in the month, but the sales was exceptionally better in the past two days. If the analyst draws a line between these price points, they have an upward trend and 3-day moving average is the trendline that is more sensitive to this change.
The options for this question are a) 3 days moving average, b) 7 days moving average, c) They are both equally sensitive, d) None of them is sensitive to this change.
Hence we can conclude that the trendline has a positive slope and option (A) 3-days moving average is the trendline that is more sensitive to this change is the correct answer.
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Write the standard equation for the circle center left parenthesis negative 6 comma 7 right parenthesis, r = 9.
A. left parenthesis x minus 6 right parenthesis squared plus left parenthesis y plus 7 right parenthesis squared equals 9
B. left parenthesis x minus 7 right parenthesis squared plus left parenthesis y plus 6 right parenthesis squared equals 81
C. left parenthesis x plus 6 right parenthesis squared plus left parenthesis y minus 7 right parenthesis squared equals 81
D. left parenthesis x plus 6 right parenthesis squared plus left parenthesis y minus 7 right parenthesis squared equals 9
Answer:
Step-by-step explanation:
The standard form equation for a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where h and k are the coordinates of the center. Our center is given as (-6,7) and the radius is given as 9, so that information fits into our standard form like this:
[tex](x-(-6))^2+(y-7)^2=9^2[/tex] and simplified, it looks like this:
[tex](x+6)^2+(y-7)^2=81[/tex]
That's choice C
15 POINTS
Data Analysis and Probability
Constructing a box-and-whisker plot
The box and whisker plot for the data-set is given at the end of the question.
What is a box plot?It is a plot that focuses the interquartile range of the population, which is the difference between the third and the first quartile, but gives a five number summary of the population, composed by these following measures.
The smallest value.The first quartile.The median.The third quartile.The highest value.For this problem, we have that:
The smallest value is of 50, hence the left dot has to be at 50 in your graph.The highest value is of 77, hence the right dot has to be at 50 in your graph.The data-set has an even cardinality, of 17, hence the median is the 9th element, which is of 65, which means that the middle vertical line should be at 65.The first quartile is the median of the first eight elements, hence the mean of the 4th and 5th elements, which are 55 and 57, hence the first quartile is of 56, which means that the left vertical line should be at 56.The third quartile is the median of the first eight elements, hence the mean of the 4th and 5th elements of the second half, which are both 71, hence the third quartile is of 71, which means that the right vertical line should be at 71.The graph at the end gives a vertical version of the box plot.
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PLEASE HELP!! i’ll give brainliest
A. ||
B.
C. neither they are skew lines
Answer:
I think it's A (parallel)
Answer:
A. its parallel
Step-by-step explanation:
all angles are equal... two sides are perpendicular and two are parallel
Factorize completely 2xy -6mn - 3m + 4nx please help me solve it
First of all, your question should be: Factor completely 2xy – 6mn – 3my + 4nx, and not Factorize completely 2xy – 6mn – 3m + 4nx. This noted, we proceed to the solution, which is:
2xy – 6mn – 3my + 4nx
→ y(2x – 3m) + 2n(–3m + 2x)
→ (2x – 3m) (y + 2n)
.: Final answer: (2x – 3m) (y + 2n)
I hope this helps.(2x – 3m) (y + 2n) is the factorized form of 2xy -6mn - 3m + 4nx
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
The given expression is 2xy – 6mn – 3my + 4nx
Two times of xy minus six times of mn minus three times of m y plus four times of nx
2xy – 6mn – 3my + 4nx
By using commutative property arrange the terms
2xy –3my– 6mn+ 4nx
Take y as common from first two terms and 2n as common in last two terms
y(2x – 3m) + 2n(–3m + 2x)
(2x – 3m) (y + 2n)
Hence, (2x – 3m) (y + 2n) is the factorized form of 2xy -6mn - 3m + 4nx
To learn more on Equation:
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What is the value of x to the nearest tenth? The figure is not drawn to scale
Answer:
(b) x = 10.5
Step-by-step explanation:
The angle bisector divides the triangle line segments proportionally.
ProportionThe proportion between corresponding line segments can be written several ways. One of them is ...
long side/long side = short side/short side
x/19.3 = 3.9/7.2
Multiplying by 19.3, we get ...
x = 19.3×3.9/7.2 ≈ 10.5 . . . units
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Additional comment
You can eliminate the incorrect answer choices simply by looking at the possible side lengths of x.
19.3 -(3.9+7.2) < x < 19.3 +(3.9+7.2) . . . . . from triangle inequality
8.2 < x < 30.4 . . . . . . . simplify
There is only one answer choice in this range: the correct one.
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