Answer:
P''(1, 7)
Step-by-step explanation:
4 units right and 1 left will add a net of +3 to the x-coordinate.
2 down and 5 up will add a net of +3 to the y-coordinate.
The coordinates of P with 3 added to each are ...
P'' = P(-2, 4) +(3, 3) = P''(1, 7)
Which congruence theorems can be used to prove ΔEFG ≅ ΔJHG? Select two options.
Triangles E F G and J H G are connected at point G. Sides F G and and G H are congruent. Sides E F and H J are parallel.
HL
SAS
SSS
ASA
AAS
ASA and AAS
Step-by-step explanation:
We do not know if these are right triangles; therefore we cannot use HL to prove congruence.
We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.
We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.
Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.
The congruence theorems that can be used to prove ΔEFG ≅ ΔJHG are; ASA and AAS
It is impossible to know if these are right triangles from the information given;
On this note, only one side of each triangle is marked congruent;
Hence, we are unable use SSS or SAS to affirm congruence.
Additionally, since EF is parallel to HJ. Therefore, line EJ is a transversal. This also means that ∠HJG and ∠GEF are alternate (z-angles) interior angles and are therefore congruent. Similarly, ∠EGF and ∠HGJ are vertical angles and are congruent. We have therefore established the AAS congruence theorem.Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate (z-angles) interior angles and are congruent. Similarly, ∠EGF and ∠HGJ are vertical angles and are congruent; This gives us two angles and an included side, which is the ASA congruence theorem.Read more on congruence theorems:
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*PLEASE ANSWER* Which of the following is not a step in finding the area of an unknown figure? a.) Expand the figure and stretch it to the form of a known figure. b.) Divide the figure into smaller, known figures. c.) Add up the areas of the smaller figures. d.) Calculate the areas of the smaller figures.
Answer:
a.) Expand the figure and stretch it to the form of a known figure.
Step-by-step explanation:
"Option a" is the correct one for finding the area of unknown figure we don't expand and stretch the figure to form a known figure.
Steps for finding the area of unknown figureTo find the area of unknown shapes, first , we need to divide the unknown shapes into regular shapes that you can recognize such as triangles, rectangles, circles, squares and so forth.
Then find the area of these individual shapes and add them to get an area of unknown shapes.
According to the given question
We have to find the step which is not required for finding the area of unknown figures
"For finding the areas of unknown figure we don't need to stretch it to form a known figure" because if we expand and stretch the figure it's dimensions will get change so that the area will also gets change.
Hence," option a" is not a step in finding the area of unknown figure.
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Solomon needs to justify the formula for the arc length of a sector. Which expression best completes this argument?The circumference of a circle is given by the formula , where d is the diameter.Because the diameter is twice the radius, .If equally sized central angles, each with a measure of , are drawn, the number of sectors that are formed will be equal to _____.The arc length of each sector is the circumference divided by the number of sectors, or .Therefore, the arc length of a sector of a circle with a central angle of is given by or ... help please
Answer:
[tex]\frac{360}{n}[/tex]
Step-by-step explanation:
Given:
The above statements
Required
Complete the above statements
Considering the third statement in the question;
First, it should be noted that a circle is a full sector that measures 360 degrees
Assuming the circle is divided by a central angle of 180, the number of sectors formed will be;
[tex]\frac{360}{180} = 2\ sectors[/tex]
Further assume the circle is divided by a central angle of 90, the number of sectors formed will be;
[tex]\frac{360}{90} = 4\ sectors[/tex]
Similarly, if the circle is divided by a central angle of n, the number of sectors formed will be;
[tex]\frac{360}{n}[/tex]
Hence, from the list of given options; [tex]\frac{360}{n}[/tex] fills the gap correctly
Answer:
360/n
Step-by-step explanation:
Which expression is equivalent to
9(x + 4)?
A. 36x
B. 13x
C. 13+9x
D. 9x+36
Answer:
[tex]\boxed{D. 9x + 36}[/tex]
Step-by-step explanation:
Hey there!
Given info
9(x + 4)
Solve!
9*x = 9x
9*4 = 36
Answer
9x + 36
D. 9x + 36
Hope this helps :)
Answer:
[tex] \boxed{9x + 36}[/tex]
Option D is the correct option.
Step-by-step explanation:
[tex] \mathrm{9(x + 4)}[/tex]
Distribute 9 through the parentheses
[tex] \mathrm{ = 9 x + 9 \times 4}[/tex]
Multiply the numbers
[tex] \mathrm{ = 9x + 36}[/tex]
Hope I helped!
Best regards!
FIRST GET BRAINNLEST Noam spins the spinner below 1000 times. Predict how many times the spinner landed on red.
Answer:
1/4
Step-by-step explanation:
Given:
Colors
Yellow 1
Red 1
Blue 2
Total 4
Required:
Times that the spinner landed on red=?
Formula:
Probability=Successful outcome ÷ Possible outcome.
Solution:
Probability=Successful outcome ÷ Possible outcome
Probability=1÷4
Probability=1/4
Hope this helps ;) ❤❤❤
Answer:
about 125 times
Step-by-step explanation:
Mrs. Fox bought a bag of cookies for her math club students. If she gives each student 5 cookies, she will have 14 cookies left over. If she has 4 additional cookies, each student could receive 7 cookies and no cookies left over. How many students are in Mrs. Fox’s math club?
Answer:
9
Step-by-step explanation:
7x=5x+14+4
7x=5x+18
2x=18
x=9
EXPERTS ONLY its not 0 or 128 In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.
Answer: 16384
Step-by-step explanation:
Given, Total jars = 4
Total marbles = 7
Since we need to put marbles in 4 different jars, we need to choose a jar each time.
Possible choices for jars =4
Number of time we need to choose = number of marbles
So, by fundamental counting principle, we have
Total ways to put 7 marbles in 4 jars = [tex]4\times4\times 4\times 4\times4\times 4\times 4[/tex]
[tex]=4^7\\\\=16384[/tex]
Hence, the required number of ways =16384
Find the mean of the data in the bar chart below.
puppets
Puppets made by each puppeteer
5
Number of puppets
0
Alex
Kalin
Bruce
Davi
Puppeteer
Just look at the picture
Answer:
2.5
Step-by-step explanation:
the mean, better known as the average, can be found by finding the sum of all numerical data and dividing by the amount of your data. so 1+4+3+2=10 and 10 divided by 4=2.5
Answer:
2.5
Step-by-step explanation:
Question 8 Multiple Choice Worth 1 points)
(03.08 MC)
Two different plants that grow each month at different rates are represented by the functions f(x) and g(x). In what month does the height of the
f(x) plant exceed that of the g(x) plant?
Month (x) f(x) = 3* g(x) = 5x + 12
1
3
17
2.
9
22
O Month 3
O Month 4
O Month 5
O Month 6
Answer:
Option B.
Step-by-step explanation:
Note: The function f(x) is not in correct format it must be [tex]f(x)=3^x[/tex].
It is given that two different plants that grow each month at different rates are represented by the functions f(x) and g(x).
Let as consider the two functions,
[tex]f(x)=3^x[/tex]
[tex]g(x)=5x+12[/tex]
Now, table of values is
Month(x) [tex]f(x)=3^x[/tex] [tex]g(x)=5x+12[/tex]
1 3 17
2 9 22
3 27 27
4 81 32
From the above table it is clear that in first and second month the height of the f(x) plant is less than of g(x).
In month 3, heights are equal.
In month 4, height of the f(x) plant exceed that of the g(x) plant.
Therefore, the correct option is B.
What is the measure of Angle X W Y? Triangle X W Y. The exterior angle to angle W is 74 degrees. 16 degrees 74 degrees 106 degrees 116 degrees
The exterior of angle XWY is 74 degrees, so the angle XWY itself is 180-74 = 106 degrees. The two angles form a 180 degree straight line or angle.
Answer:
the answer is 74
Step-by-step explanation:
i did the cumulative test
The function f(x)=3(1.85)^x+3 is a shown .....
Answer:
easy, heres a hand y≈12⋅1.85x :)
P.s. have a good day :)
Answer:
see below
Step-by-step explanation:
f(x)=3(1.85)^x +3
Let x = - ∞
f(x)=3(1.85)^-∞ +3
= 3* 0 +3
= 3
The graph goes to 3
The graph has a horizontal asymptote of y=3
Let x = ∞
f(x)=3(1.85)^∞ +3
= 3* ∞ +3
= ∞
The graph goes to ∞
How many different 2-digit numbers are there with the following property: the tenth digit is greater than the units digit?
Step-by-step explanation:
2 digit numbers are beetween 10 and 99
We are looking for numbers in wich the unit digits is less than the ten digit
we can make notice something about this numbers
1020304050607080900 is the smallest postive integer so all these numbers satisfy the condition
so we have now 9 numbers
here is another remark :
0 < 1 < 2 < 3 <4 <5 <6 < 7 < 8 < 9numbers from 91 to 99 satisfy the condition except 99
so here are 8 other numbers
numbers from 80 to 89 satisfy the condition except 88 and 89
so here are 7 other numbers
the numbers that satisfy the keeps decreasing by 1 each time
8 (91⇒98) 7 81⇒88 + 806 71⇒76 + 705 61⇒ 65 +604 51⇒ 54 + 50 3 41⇒ 43 + 402 31⇒32 + 301 21 + 20so the total number of numbers that satisfy the condition
9+8+7+6+5+4+3+2+1= 45
8 elementary classes will be chosen to participate in a school lunch survey. There are 23 elementary classes in the school. In how many ways can the classes be chosen?
Answer:
490,314
Step-by-step explanation:
This is a combinations problem. The formula is n!/(n-r)!xr!
This is 23!/(23-8)!x8!=
23!/15!x8!=
19,769,460,480/40,320=
490,314
Using the combination formula, it is found that the classes can be chosen in 490,314 ways.
The order in which the classes are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 8 classes are chosen from a set of 23, hence:
[tex]C_{23,8} = \frac{23!}{8!(15)!} = 490314[/tex]
The classes can be chosen in 490,314 ways.
More can be learned about the combination formula at https://brainly.com/question/25821700
To solve the equation w/8 - 4 = 20, you would first add 4 to each side and then divide each side by 8. TrueFalse
Answer:
False
Step-by-step explanation:
The first part is correct because adding 4 to each side will help isolate the variable w, but since w is divided by 8 already you would want to multiply by 8 instead, so dividing each side by 8 would not work.
What is the function rule represented by the following table? x y 0 0 1 -2 -2 4 y = -x - 1 y = -2x y = x - 3 y = -3x + 2
Answer:
[tex]y = -2x[/tex]
Step-by-step explanation:
Given
x || 0 || 1 || -2
y || 0 || -2 || 4
Required
Determine the function rule
First, we have to determine the slope of the function using;
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
Where x and y represent any two corresponding values of x and y
When x = 0; y = 0 [tex](x_1,y_1)[/tex]
When x = 1; y = -2 [tex](x_2,y_2)[/tex]
Substitute these values in [tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
[tex]m = \frac{0 - (-2)}{0 - 1}[/tex]
[tex]m = \frac{0 +2}{0 - 1}[/tex]
[tex]m = \frac{2}{- 1}[/tex]
[tex]m = -2[/tex]
Next, is to determine the function rule; using slope intercept form as follows;
[tex]y - y_1 = m(x - x_1)[/tex]
Take any corresponding values of x and y as x1 and x2
When x = -2; y = 4
[tex]y - y_1 = m(x - x_1)[/tex] becomes
[tex]y - 4 = -2(x - (-2))[/tex]
[tex]y - 4 = -2(x + 2)[/tex]
Open the bracket
[tex]y - 4 = -2x -4[/tex]
Add 4 to both sides
[tex]y - 4 + 4 = -2x - 4 + 4[/tex]
[tex]y = -2x[/tex]
Hence, the function rule is [tex]y = -2x[/tex]
Answer:
y = -2 x - 1
Step-by-step explanation:
Jerry solved the system of equations. x minus 3 y = 1. 7 x + 2 y = 7. As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement? The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution. The variable x in the second equation has a coefficient of 7 so it will be easy to divide 7 by 7. The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2. The variable x in the second equation has the largest coefficient. When dividing by 7, the solution will be a smaller number.
Answer:
A. The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.
Step-by-step explanation:
Given
[tex]Equation\ 1: x - 3y = 1[/tex]
[tex]Equation\ 2: 7x + 2y = 7[/tex]
Required
Efficient way of solving the equations
The efficient way of solving this problem is by solving for x in the first equation because it has a coefficient of 1;
The evidence is shown as follows;
Make x the subject of formula in equation 1
[tex]x = 1 + 3y[/tex]
Substitute 1 + 3y for x in equation 2
[tex]7x + 2y = 7[/tex]
[tex]7(1 + 3y) + 2y = 7[/tex]
Open bracket
[tex]7 + 21y + 2y = 7[/tex]
[tex]7 + 23y =7[/tex]
Make y the subject of formula
[tex]23y = 7 - 7[/tex]
[tex]23y = 0[/tex]
Divide both sides by 23
[tex]\frac{23y}{23} = \frac{0}{23}[/tex]
[tex]y = 0[/tex]
Recall that x = 1 + 3y
Substitute 0 for y in the above expression
[tex]x = 1 + 3(0)[/tex]
[tex]x = 1 + 0[/tex]
[tex]x = 1[/tex]
Solving for y in the second equation will take more steps
Answer:
A: The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.
Step-by-step explanation:
Suppose you deposit a principal amount of p dollars in a bank account that pays
compound interest. If the annual interest rate r (expressed as a decimal) and the bank
makes interest payments n times every year, the amount of money A you would have
after t years is given by:
A = P[1+ (r/n)]"
Find the account balance after 20 years if you started with a deposit of $1000, and the
bank was paying 4% interest compounded quarterly (4 times a year). Round your
answer to the nearest cent.
Answer:
Answer:
$2216.72
Step-by-step explanation:
Simply plug in your known variables into the formula:
a = 1000
r = 0.04 (4%)
n = 4
t = 20
A = 1000(1 + 0.04/4)⁴⁽²⁰⁾
A = 1000(1 + 0.01)⁸⁰
A = 1000(1.01)⁸⁰
A = 1000(2.21672)
A = 2216.72
ordered pair please help
Answer:
PLS PLS DO MARK MY ANSWER AS THE BRAINLIEST......
Step-by-step explanation:
P - ( 2, -3) - 4TH QUADRANT
Q - (-3,-2) - 3RD QUADRANT
R - (1,3) - 1ST QUADRANT
S -(-2,2) - 2ND QUADRANT
Answer:
P - ( 2, -3) - 4TH QUADRANT
Q - (-3,-2) - 3RD QUADRANT
R - (1,3) - 1ST QUADRANT
S -(-2,2) - 2ND QUADRANT
Kareem has scored 21 ,17 , and 25 points in his three basketball games so far. How many points does he need to score in his next game so that his average (mean) is 21 points per game?
Answer:
21
Step-by-step explanation:
his mean is already 21
but if he has to score then 21
Using the ruler postulate, find the distance between-9 and 2.
Answer:
11
Step-by-step explanation:
Identify the coefficient of 12b5.
Given the value [tex]12b^{5}[/tex] ; the coefficient of b is 12.
The Coefficient is a numerical value or constant which is used to multiply a variable; from the value given above ;
The variable is b ;
The Coefficient = 12 ; the coefficient is the value which is used fo multiply the variable b.
The power is the value to which the variable is raised.
Hence,
The Coefficient is 12 ; it is the value which multiplies the variable 'b' and the power is 5
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(b) Graph the equation x – 2y = 3
Answer:
Hey there!
Look at the image below ↓
Hope this helps :)
The graph of the given equation x – 2y = 3 is attached below.
How to find the function which was used to make graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it. If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
We are given that the equation as;
x – 2y = 3
Therefore, it can be write as;
-2y = -x + 3
-y = -x/2 + 3
Here the slope is -1/2.
Hence, the graph of the given equation x – 2y = 3 is attached below.
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In circle C, what is mArc F H?
Answer:f
Step-by-step explanation:
Answer: 31 degrees
Step-by-step explanation:
Question: Using substitution, identify the ordered pair that is not an element of the solution set of the system of equations. 3x − y = 2 6x − 2y = 4 Answers: (1, 1) (−2, −4) (0, −2) (2, 4)
Answer:
(-2, -4)
Step-by-step explanation:
3(-2) - -4 = -2, so it doesn't work.
both equations are the same line
SOMEONE PLS HELP PRECALCULUS
Sine is negative in quadrants 3 and 4, when y < 0.
Tangent is negative for quadrants 2 and 4, when y/x < 0. Basically when x and y differ in sign (one is positive, the other is negative)
The common quadrant mentioned is quadrant 4.
Quadrant 4 has angles that are between 270 degrees and 360 degrees
So we have [tex]270^{\circ} < \theta < 360^{\circ}[/tex]
Answer: Choice DKatrina owns a dance studio and offers four classes a day for $28.00 each, with 10 people maximum per class. If she decides to offer a 25% discount on the two morning classes offered one day, and all four classes reach the maximum number of people attending, how much money will Katrina make that day?
Answer:
$980
Nvm you have to multiply 98 by 10 since there are 10 participants. :)
Step-by-step explanation:
Well, first we wanted to find how much the morning classes cost together. You have to $28 multiplied with 75/100. I am multiplying it with 75/100 instead of 25/100 because the discount cuts off the 25% and the 75% is what you still have to pay. This will give you 2100/100 which is $21. Now you have to multiply $21 with 2 since there are two morning classes. $21 x 2 equals $42. Total for Morning Classes is $42.
Now the other two classes don't have a discount. So all you have to do is $28 x 2 or $28 + $28. This gives you $56. Total for The Other Classes is $56.
Last Step:
Total for Morning Classes + Total for the Other Classes = $56 + $42
= $98
Hope that helped! :)
Answer:
$ 980
Step-by-step explanation:
Discount for morning session = 25 % of 28 = 0.25 * 28 = $ 7
Fees for morning class = 28 - 7 = $ 21
Maximum people in one session = 10
Money earned in the morning sessions = 2 * 21 * 10 = $ 420
Money earned in the evening sessions = 2 * 28 * 10 = $ 560
Total money earned that day = 420 + 560 = $ 980
Graph the line with: a slope of -5 and y intercept of 4. PLEASE HELP
The y intercept of 4 means the graph crosses the vertical y axis at 4. More specifically this location is (0,4)
Start at (0,4) and move down 5 units and then move to the right 1 unit. You should arrive at (1,-1). The movement rule of "down 5, over to the right 1" is taken exactly from the slope of -5 = -5/1.
After plotting the two points (0,4) and (1,-1), draw a straight line through them both. Extend this line as far as you can in either direction. The graph is now completed.
In summary, this line goes through (0,4) and (1,-1)Side note: The equation of this line is y = -5x+4. It is in slope intercept form.
The graph of the linear equation y = -5x + 4 is in the image at the end.
How to graph the linear equation?Here we want to do the graph of a line where the slope is -5 and the y-intercept is 4.
Then we can write the line as:
y = -5x + 4
To graph the line, we need to find two points on the line, to find these points just evaluate the function in two values.
if x = 0
y = -5*0 + 4
y = 4 ---> we have the point (0, 4)
if x = 1
y = -5*1 + 4 = -1 ---> we have the point (1, -1)
Now graph these two points and connect them with a line, you will get a graph like the one below.
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*PLEASE ANSWER ASAP* What is the area of this polygon on a coordinate plane?
Answer:
A. 14 square units
Step-by-step explanation:
Hey there :)
Well let's find the area of each individual rectangles.
Let's start with the side rectangle.
It has dimensions of 5*1 = 5.
5 square units
Now the 3 rectangles left have dimensions of 3*1=3,
3*3 = 9.
5+9=14
14 square units
Answer:
A, 14 square units
Step-by-step explanation:
What I would do is separate them into 4 shapes like the picture below
Because all of the shapes are rectangles, you can use the formula
[tex]A=L*W[/tex]
For shape #1, the length is 1 and the width is 3. Plot the numbers
[tex]A=1*3[/tex]
Multiply 1 by 3 to get
[tex]A=3[/tex]
The area of shape #1 is 3
The length and width of shape #2 and 3 are the same as 1, so you can multiply the area of shape #1 by 3 to get
[tex]3*3[/tex]
[tex]9[/tex]
The area of shape #1, 2, and 3 are 9.
Next, you want to find the area of shape #4 which has a length of 5 and a width of 1.
Use the same formula to get
[tex]A=5*1[/tex]
Multiply 5 by 1 to get
[tex]A=5[/tex]
The area of shape #4 is 5
The way to find the surface area of the whole figure is to add the area of all the shapes individually, or do what I did and add 5, to 9
[tex]A=5+9[/tex]
This gives you your answer which is
[tex]A=14[/tex]
Hope this helps.
Feel free to ask any more questions if you are confused.
Have a great day! :)
Sarina orders a sixteen-inch diameter pizza. She divides it
into equal slices by cutting every thirty degrees around the
middle of the pizza. Approximately what is the area of each
slice?
Answer: c) 16.75 in²
Step-by-step explanation:
Area of a sector = π·r² (θ/360°)Given: diameter = 16 --> r = 8, θ = 30°
[tex]A=\pi (8)^2\bigg(\dfrac{30^o}{360^o}\bigg)\\\\.\quad =\dfrac{64\pi}{12}\\\\.\quad =\dfrac{16\pi}{3}\\\\.\quad = 16.755[/tex]
An expression is shown below: 2x3y + 18xy − 10x2y − 90y Part A: Rewrite the expression by factoring out the greatest common factor. Part B: Factor the entire expression completely. Show the steps of your work.
Answer:
Part A : 2y( x³ + 9x - 5x² - 45 ), Part B : 2y( x - 5 )( x² + 9 )
Step-by-step explanation:
Part A : Let's break every term down here to their " prime factors ", and see what is common among them,
2x³y + 18xy − 10x²y − 90y -
2x³y = 2 [tex]*[/tex] x³ [tex]*[/tex] y,
18xy = 2 [tex]*[/tex] 3 [tex]*[/tex] 3 [tex]*[/tex] x [tex]*[/tex] y,
− 10x²y = 2 [tex]*[/tex] - 5 [tex]*[/tex] x² [tex]*[/tex] y, - so as you can see for this example I purposely broke down - 10 into 2 and - 5. I could have placed the negative on the 2, but as that value was must likely common among all the terms, I decided to place it on the 5. The same goes for " − 90y. " I placed the negative there on the 5 once more.
− 90y = 2 [tex]*[/tex] - 5 [tex]*[/tex] 3 [tex]*[/tex] 3 [tex]*[/tex] y
The terms common among each term are 2 and y. Therefore, the GCF ( greatest common factor ) is 2x. Let's now factor the expression using this value.
2y( x³ + 9x - 5x² - 45 )
Part B : Let's simply factor this entire expression. Of course starting with the " factored " expression : 2y( x³ + 9x - 5x² - 45 ),
[tex]2y\left(x^3+9x-5x^2-45\right)[/tex] - Factor out " [tex](x^3+9x-5x^2-45\right))[/tex] " by grouping,
[tex]\left(x^3-5x^2\right)+\left(9x-45\right)[/tex] - Factor 9 from 9x - 45 and x² from x³ - 5x²,
[tex]9\left(x-5\right)+x^2\left(x-5\right)[/tex] - Factor out common term x - 5,
[tex]\left(x-5\right)\left(x^2+9\right)[/tex] - And our solution is thus 2y( x - 5 )( x² + 9 )