Triangle DEF has vertices D(1,1), E(2,0), and F(0,4). It is transformed by a rotation 180 degrees about the origin followed by a dilation with a scale factor of 3. Find the coordinates of the vertices of triangle D”E”F”.
Check the picture below.
Will mark the brainliest!!!!
Answer:
options a is correct
4/7 likely
Probability = Favourable outcomes/ Total outcomes
All outcomes that we have are = 1,2,3,4,5,6,7,8
→ Total outcomes are 8 .
Favourable outcomes are = 1,3,5,7
→ Favourable outcomes are 4.
P(odd) = 4 divided by 8
→ P( odd) is 1/2 , 50% , equally likely.
So option 2nd is correct .
Answer this pleaseeee
Therefore , the solution of the given problem of expression comes out to be Harriet makes 4.50 times more money per hour at work X than job Y.
Explain expression.Multiplying, dividing, adding, but also deleting are essential arithmetic operations. If they were put together, the sentence that would emerge would be: A mathematical formula, some data, and an equation A declaration of truth is composed of values, elements, and operations like additions, subtractions, multiplications, and divisions. It is possible to analyse and rank words and phrases.
Here,
We can make use of the distributive estate of multiplication to find an equivalent expression:
=> 9.00OX + 4.50y = 4.50(2OX) + 4.50y
Given that 2OX represents the amount of time spent at job X as well as 2OX + y represents the entire number of hours worked, this equivalent expression demonstrates that Harriet makes 4.50 times more per hour at position X than job Y.
Consequently, the appropriate response is
According to the formula
=> 4.50(2x + y),
Harriet makes 4.50 times more money per hour at work X than job Y.
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Match each equation on the left to the mathematical property it uses on the right.
Answer: 1,d 2,e 3,c 4,b 5,a
Step-by-step explanation:
Number is from top to bottom on left and letters are same way on right.
Ms lee can make at most teams with the same number sixth graders and the the same number of seventh graders on each team
Ms Lee can make 2 teams,Each team has 9 of 6th graders and 14 of 7th graders.
Factor 18 = 1, 2, 3, 6, 9, and 18.
Factor 28 = 1, 2, 4, 7, 14, and 28.
GCF of 18 and 28 is 2
6th graders for each team= 18/2= 9 students
7th graders for each team= 28/2= 14 students
Greatest Common FactorGCF stands for Greatest Common Factor. A factor is a number that divides evenly into a number.
Example:
Factors of the number 6
6 : 1 = 6
6 : 2 = 3
6 : 3 = 2
6 : 6 = 1
Then, the factors of 6 are 1, 2, 3, and 6
Factors of the number 12
12 : 1 = 12
12 : 2 = 6
12 : 3 = 4
12 : 4 = 3
12 : 6 = 2
12 : 12 = 1
Then, the factors of 12 are 1, 2, 3, 4, 6, and 12
GCF are the same factors of two or more numbers which has the greatest value. Numbers 6 and 12 have the same factors (common factors), namely 1, 2, 3, and 6. The common factor with the greatest value is 6. So, the GCF of 6 and 12 is 6.
Your question is incomplete but most probably your full question was:
Greatest Common Factor (GCF)-Instruction-Level F
The chess club teacher, Ms. Lee, is making teams with her students. She has 18 sixth graders
and 28 seventh graders. To be fair, Ms. Lee wants there to be the same number of sixth grade
students and the same number of seventh grade students on each team.
How many sixth graders and seventh graders will each team have?
Each team will have
sixth graders and ? seventh graders.
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Point K is located at ( 1 , 2 ) on the following coordinate plane. A square that has a perimeter of 20 units will be drawn so that K is one vertex of the square. Which three ordered pairs could represent the location of another vertex of the square? Select the three correct answers.
Three ordered pairs that could represent the location of another vertex of the square are (7, 2), (-5, 2), (1, 8).
To find the possible locations of the other vertices of the square, we need to determine the distance from point K to any other vertex of the square. Since the perimeter of the square is 20 units, each side of the square has a length of 20/4 = 5 units.
One way to find the other vertices is to draw a circle with center at K and radius 5 units, and then look for points on the circle that have integer coordinates. Alternatively, we can use the distance formula to calculate the distance from K to another point (x, y), which must be 5 units, and then solve for y in terms of x.
Using the distance formula, we get:
\(\sqrt{(x-1)^{2} +(y-1)^{2} }\) = 5
Simplifying and squaring both sides, we get:
(x-1)^2 + (y-2)^2 = 25
Expanding the left side and simplifying, we get:
\(x^{2}\) - 2x + \(y^{2}\) - 4y + 20 = 0
Completing the square for x and y, we get:
\((x-1)^{2}\) + \((y-1)^{2}\) = \(6^{2}\)
This is the equation of a circle with center at (1, 2) and radius 6 units. Any point on this circle that has integer coordinates could be a vertex of the square, since it will be exactly 5 units away from K.
Using this method, we can find several possible locations of the other vertices of the square. Three of them are:
(7, 2), (-5, 2), (1, 8)
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Fran is making pancakes. The recipe for the pancakes calls for 1/8 teaspoon of salt for every 3/4 cup of flour. Fran makes an amount of pancakes that needs 18 cups of flour. How much salt, in teaspoons, does Fran need to use for the pancakes?
Answer:
3 teaspoon
Step-by-step explanation:
If for every 3/4 cup of flour we will need 1/8 teaspoon of salt, then:
1/8 teaspoon = 3/4 cup of flour
To get the amount of teaspoon needed for 18cups we will say:
x teaspoon = 18 cups
Solving both equalities for x:
1/8 teaspoon = 3/4 cup of flour
x teaspoon = 18 cups
Cross multiply
3/4 * x = 18 * 1/8
3x/4 = 18/8
cross multiply again
3x*8 = 4*18
24x = 72
x = 72/24
x = 3
Hence Fran needs 3 teaspoon of salt fir 18cups of flour
please help for this question. Thank you
Answer:
A. 8.3
B.18.7
C. 10.4
D. 1.04
Step-by-step explanation:
p(x) = 0.03x² + 0.56x + 6.35
A. Determination of p(3)
p(x) = 0.03x² + 0.56x + 6.35
x = 3
p(3) = 0.03(3)² + 0.56(3) + 6.35
p(3) = 0.03(9) + 1.68 + 6.35
p(3) = 0.27 + 1.68 + 6.35
p(3) = 8.3
B. Determination of p(13)
p(x) = 0.03x² + 0.56x + 6.35
x = 13
p(13) = 0.03(13)² + 0.56(13) + 6.35
p(13) = 0.03(169) + 7.28 + 6.35
p(13) = 5.07 + 7.28 + 6.35
p(13) = 18.7
C. Determination of p(13) – p(3)
From A and B above,
p(13) = 18.7
p(3) = 8.3
p(13) – p(3) = 18.7 – 8.3
p(13) – p(3) = 10.4
D. Determination of p(13) – p(3) / 13 – 3
From C above,
p(13) – p(3) = 10.4
p(13) – p(3) / 13 – 3 = 10.4/ 13 – 3
= 10.4 / 10
= 1.04
If the the price of a pair of shoes is 35$ before tax and the tax is 20% what will the final price of the shoes be
Answer:
$42
Step-by-step explanation:
You want the price with tax of a $35 pair of shoes subject to a 20% tax.
Price with taxThe tax is the cost of the shoes multiplied by the tax rate. The final price is the sum of the cost of the shoes and the tax:
final price = price + price × tax rate
final price = price × (1 + tax rate) = $35 × 1.20 = $42
The final price of the shoes is $42.
Answer:
42$
Step-by-step explanation:
tax increase will be
20% of 35$
= 20/100 × 35
= 7$
Final price = Old price + Tax
= 35 + 7
= 42$
What is the partial fraction decomposition of 7x^2-6x+9/3x(4x^2+9)
Simplify the expression: x+7x2+3x+2=x+7(x+1)(x+2)
The form of the partial fraction decomposition is
x+7(x+1)(x+2)=Ax+1+Bx+2
Write the right-hand side as a single fraction:
x+7(x+1)(x+2)=(x+1)B+(x+2)A(x+1)(x+2)
The denominators are equal, so we require the equality of the numerators:
x+7=(x+1)B+(x+2)A
Expand the right-hand side:
x+7=xA+xB+2A+B
Collect up the like terms:
x+7=x(A+B)+2A+B
The coefficients near the like terms should be equal, so the following system is obtained:
{A+B=12A+B=7
Solving it (for steps, see system of equations calculator), we get that A=6, B=−5
Therefore,
x+7(x+1)(x+2)=6x+1+−5x+2
Answer: x + 7x\textasciicircum{2} + 3 x + 2=6x+1+−5x+2
30 POINTS ASAPPPPP!!!!!!!!
Question 1 Part C (2 points): Andrew spends 120 minutes in the gym everyday doing strength training and running on the treadmill. He runs on the treadmill for 60 minutes longer than he does strength training.
Is it possible for Andrew to have spent 80 minutes running on the treadmill if he spends exactly 120 minutes total at the gym and runs on the treadmill for 60 minutes longer than he does strength training? Explain your reasoning.
It is not possible for Andrew to have spent 80 minutes running on the treadmill if he spends exactly 120 minutes total at the gym and runs on the treadmill for 60 minutes longer than he does strength training.
what is arthematic equation?
Arithmetic equations are mathematical statements that use numbers and arithmetic operations such as addition, subtraction, multiplication, and division to express the relationship between the quantities involved.
Let's assume that Andrew spends x minutes doing strength training, and according to the problem statement, he spends 60 minutes more running on the treadmill than strength training. So the time he spends running on the treadmill is x + 60.
The total time Andrew spends in the gym is 120 minutes, so:
x + (x + 60) = 120
Simplifying this equation, we get:
2x + 60 = 120
2x = 60
x = 30
Therefore, Andrew spends 30 minutes on strength training and (30 + 60) = 90 minutes on the treadmill.
So, it is not possible for Andrew to have spent 80 minutes running on the treadmill if he spends exactly 120 minutes total at the gym and runs on the treadmill for 60 minutes longer than he does strength training.
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no, it's not possible for andrew to have spent 80 minutes running on the treadmill. if we subtract 80 from 120 (the total) we get 40 which means he had to have spent 40 minutes doing strength training but if we subtract 60 (how many more mins he spent on running than he did strength training) minutes from 80 we get 20. he spent 20 minutes on strength training which adds up to 100 minutes, not 120 minutes.
Suppose that 40 percent of the drivers stopped at State Police checkpoints in Storrs on Spring Weekend show evidence of driving while intoxicated. Consider a sample of 5 drivers. a. Find the probability that none of the drivers shows evidence of intoxication. b. Find the probability that at least one of the drivers shows evidence of intoxication. c. Find the probability that at most two of the drivers show evidence of intoxication. d. Find the probability that more than two of the drivers show evidence of intoxication. e. What is the expected number of intoxicated drivers
Answer:
a) 0.778
b) 0.9222
c) 0.6826
d) 0.3174
e) 2 drivers
Step-by-step explanation:
Given:
Sample size, n = 5
P = 40% = 0.4
a) Probability that none of the drivers shows evidence of intoxication.
\( P(x=0) = ^nC_x P^x (1-P)^n^-^x\)
\(P(x=0) = ^5C_0 (0.4)^0 (1-0.4)^5^-^0\)
\( P(x=0) = ^5C_0 (0.4)^0 (0.60)^5\)
\( P(x=0) = 0.778 \)
b) Probability that at least one of the drivers shows evidence of intoxication would be:
P(X ≥ 1) = 1 - P(X < 1)
\( = 1 - P(X = 0) \)
\( = 1 - ^5C_0 (0.4)^0 * (0.6)^5\)
\( = 1 - 0.0778 \)
\( = 0.9222 \)
c) The probability that at most two of the drivers show evidence of intoxication.
P(x≤2) = P(X = 0) + P(X = 1) + P(X = 2)
\( ^5C_0 (0.4)^0 (0.6)^5 + ^5C_1 (0.4)^1 (0.6)^4 + ^5C_2 (0.4)^2 (0.6)^3 \)
\( = 0.6826 \)
d) Probability that more than two of the drivers show evidence of intoxication.
P(x>2) = 1 - P(X ≤ 2)
\( = 1 - [^5C_0 (0.4)^0 (0.6)^5 + ^5C_1 (0.4)^1 (0.6)^4 + ^5C_2 * (0.4)^2 (0.6)^3] \)
\( = 1 - 0.6826 \)
\( = 0.3174 \)
e) Expected number of intoxicated drivers.
To find this, use:
Sample size multiplied by sample proportion
n * p
= 5 * 0.40
= 2
Expected number of intoxicated drivers would be 2
the value of 2 [3 (x^2 - 5) + 5y] when x = 9 and y = 3. A. 729.
\( = 2(3( {(9})^{2} - 5) + 5(3)) \\ = 2(3(81 - 5) + 15) \\ = 2( 3(76) + 15) \\ = 2(228 + 15) \\ = 2(243) \\ = 486\)
ATTACHED IS THE SOLUTION
YOU DID NOT PROVIDE FULL OPTIONS THEREFORE I WON'T BE ABLE TO CHOOSE.
GOODLUCK .
An interior designer is redecorating a room that is 26 feet long by 18 feet wide by 9 feet high. At one end of the room is a door that is 6 feet 6 inches high and 4 feet wide. One of the walls contains 2 windows, each of which is 2 feet wide by 2 feet 6 inches high.
A: How much will it cost to carpet the floor if the carpet sells for $18.00 a square yard? $
B: How much will it cost to wallpaper all four walls if wallpaper costs $0.75 per square foot? $
C: How much will it cost to paint the ceiling using paint that sells for $25 per gallon if a quart of paint will cover 88 square feet? $
D: What will be the cost of the entire project? $
Answer: A: It will cost $936.00 to carpet the floor.
B: It will cost $297.00 to wallpaper all four walls.
C: It will cost $33.25 to paint the ceiling.
D: The cost of the entire project will be $1266.25.
Step-by-step explanation:
To calculate the costs for carpeting, wallpapering, painting, and the overall cost of the project, we need to determine the areas that need to be covered and the corresponding prices for each material.
Given dimensions:
Room length: 26 feet
Room width: 18 feet
Room height: 9 feet
Door dimensions:
Height: 6 feet 6 inches
Width: 4 feet
Window dimensions (each):
Width: 2 feet
Height: 2 feet 6 inches
A: Carpeting the floor:
To find the area of the floor, we multiply the length and width of the room:
Floor area = Length × Width = 26 feet × 18 feet = 468 square feet.
To convert to square yards (since the carpet is sold per square yard), we divide by 9:
Floor area in square yards = 468 square feet / 9 = 52 square yards.
Cost to carpet the floor = Floor area in square yards × Cost per square yard = 52 square yards × $18.00 = $936.00.
B: Wallpapering the walls:
To find the area of the walls, we calculate the perimeter of the room (2 × (Length + Width)) and multiply it by the height of the room:
Wall area = Perimeter × Height = 2 × (26 feet + 18 feet) × 9 feet = 396 square feet.
Cost to wallpaper the walls = Wall area × Cost per square foot = 396 square feet × $0.75 = $297.00.
C: Painting the ceiling:
To find the area of the ceiling, we multiply the length and width of the room:
Ceiling area = Length × Width = 26 feet × 18 feet = 468 square feet.
Since a quart of paint covers 88 square feet, we need to determine the number of quarts required:
Number of quarts = Ceiling area / Coverage per quart = 468 square feet / 88 square feet = 5.32 quarts.
Since a gallon contains 4 quarts, the number of gallons required is 5.32 quarts / 4 quarts = 1.33 gallons.
Cost to paint the ceiling = Number of gallons × Cost per gallon = 1.33 gallons × $25.00 = $33.25.
D: Cost of the entire project:
Total cost = Cost to carpet the floor + Cost to wallpaper the walls + Cost to paint the ceiling
= $936.00 + $297.00 + $33.25 = $1266.25.
Therefore:
A: It will cost $936.00 to carpet the floor.
B: It will cost $297.00 to wallpaper all four walls.
C: It will cost $33.25 to paint the ceiling.
D: The cost of the entire project will be $1266.25.
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PLEASE GUYS JUST HELPPP MEEE PLEASE
Answer:
Step-by-step explanation:
2. 27
3. 18
Answer:
s o w h a t y o u n e e d t o d o i s
Step-by-step explanation:
In the equation y = -2x + 5, what is the average rate of change (slope)?
a. 5
b. 2
c. -2x
d. -2
please explain
Answer:
-2
Step-by-step explanation:
Type the correct answer in the box. If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is
Answer:
35°
Step-by-step explanation:
Does standard deviation means independent events
Standard deviation does not mean independent events.
Does standard deviation means independent events?No, the standard deviation is a measure of the spread or variability of a set of data. It measures how much the individual data points in a dataset deviate from the mean or average of the dataset.
Independence, on the other hand, refers to the relationship between two or more events, where the occurrence of one event does not affect the probability of the other event occurring.
Standard deviation is not directly related to the concept of independence. However, when calculating the standard deviation of a dataset, it assumes that each data point is independent and identically distributed. This means that the value of one data point does not affect the value of another data point, and that each data point is drawn from the same underlying distribution.
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the national association of home builders ranks the most and least affordable housing markets based on the proportion of homes that a family earning the median income in that market could afford to buy. data containing the median income($1000s) and the median sale price($1000s) for a sample of 12 housing markets appearing on the list of most affordable markets were subjected to a simple linear regression analysis. the following results were obtained
The results based on the information provided in the question will be as follows:
a) By using the analysis of variance (ANOVA) table,
MSE= 440.1/10 = 44.01
F = 2717.9/44.01 =61.756
b) To interpret the slope of regression model,
the slope represents that for each $1000 increase in the income of a family on an average sale price increase by 2184.3
c) To calculate the value of coefficient of determination and its interpretation,
0.712 and the lowest that coefficient of determination is 0 and highest is 1. Thus, here the coefficient is high.
d) By using regression equation,
Price = 11.8+2.18×income
Predicted value = (-11.8+2.18×20)×1000 = 31800
e) To compute, 95% confidence slope
= 2.1843/2.228×0.278 = 1.565;2.804
f) The linear relationship between income and price,
All the intervals above have a value of more than 0 therefore we can conclude that the slope is significant. Thus, we have sufficient evidence that at 0.05 level of significance the linear relationship between income and price is inter related.
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Note that the full question is:
The National Association of Home Builders ranks the most and least affordable housing markets based on the proportion of homes that a family earning the median income in that market could afford to buy. Data containing the median income $1000s) and the median sale price($1000s) for a sample of 12 honsing markets appearing on the list of most affordable markets were subjected to a simple linear regression analysis. The following results were obtained. The regression equation is price-11.8 +2.18 income Predictor Coef StDev Constant11.80 12.84 income 2.1843 0.2780 S 6.634 Analysis of Variance Source Regression 1 2717.9 2717 DF SS MS F P Residuni Eror 10 440. Total 1 3158.0 a. Using the snalysis of variance table, find MSE b. Interpret the slope of the regression model. the valus ul and interpret it d. Using the estimated regression equation, the value ofy ifx-$20,000 e. Compute 95% confidence al for the slope 43-1+2.2280T g. At the 0.05 level of significunce, is there evidence of a linear relationship between income and price
helppp it's urgent and I don't understand dhow to do this please.
Answer:
i) Consecutive interior angles
ii) Supplementary angles
iii) The two oars are parallel by consecutive interior angles theorem
Step-by-step explanation:
i) m∠1 and m∠2 lie between two line and on the same side of the line passing through the two lines. Therefore, they are consecutive interior angles
ii)x = 10
m∠1 = 6x + 18
= 6(10) + 18
= 60 + 18
= 78
m∠2 = 9x + 12
= 9(10) + 12
= 90 + 12
= 102
m∠1 + m∠2 = 72 + 108 = 180
Since m∠1 and m∠2 add to 180, they are supplementary angles.
iii) The two oars are parallel
consecutive interior angle theorem:
If a transversal cuts through two line and the consecutive interior angles are supplimentary, then the two lines are parallel
Given deductions for this week: Federal Tax $61.34, FICA $52.05, and State $7.92 What is the annual Federal Tax deduction? $6,308.12 $3,189.68 $3,152.06 $1,594.84
The annual Federal Tax deduction is $ 3,189.68.
Given that the deductions for the week were: Federal Tax $ 61.34, FICA $ 52.05, and State $ 7.92; To determine what is the annual Federal Tax deduction, the following calculation must be performed:
Federal Tax deduction x number of weeks per year = X $ 61.34 x 52 = X $3,189.68 = X
Therefore, the annual Federal Tax deduction is $ 3,189.68.
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Write a sine function with an amplitude of 5, a period of
Pi/8,and a midline at y = 7.
f(x) = 4sin(8x) + 5
f(x) = 5sin(16)+7
f(x) = 5sin(16x) + 4
f(x) = 4sin(8x) + 7
Answer:
\(\textsf{B)} \quad f(x) = 5 \sin (16x) + 7}\)
Step-by-step explanation:
The sine function is periodic, meaning it repeats forever.
Standard form of a sine function\(\boxed{f(x) = A \sin (B(x + C)) + D}\)
where:
A is the amplitude (height from the midline to the peak).2π/B is the period (horizontal distance between consecutive peaks).C is the phase shift (horizontal shift - positive is to the left).D is the vertical shift (y = D is the midline).Given values:
Amplitude, A = 5Period, 2π/B = π/8Phase shift, C = 0Vertical shift, D = 7Calculate the value of B:
\(\dfrac{2\pi}{B}=\dfrac{\pi}{8}\implies 16\pi=B\pi\implies B=16\)
Substitute the values of A, B C and D into the standard formula:
\(f(x) = 5 \sin (16(x + 0)) + 7\)
\(f(x) = 5 \sin (16x) + 7\)
Therefore, the sine function with an amplitude of 5, a period of π/8, and a midline at y = 7 is:
\(\Large\boxed{\boxed{f(x) = 5 \sin (16x) + 7}}\)
60ft by 60ft wall and a mirror that’s 60ft by 20ft the mirror covers wat percent of the wall?
Answer:
okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.
Step-by-step explanation:
On a map, the scale shown is 1 inch : 5 miles. If
a wildlife refuge is 50 square miles, what is the
area of the refuge on the map?
Use the proportion to solve for x.
1 in. 2
25 mi2
x in. ²
50 mi²
Cross
multiplication
can help!
=
The area of the wildlife refuge is [?] square
inches on the map.
Enter
Answer:
Step-by-step explanation:
6
Please help! I will give you brainliest if it is correct
Answer:
B is the correct one. Second.
Answer:
B
Step-by-step explanation:
Which expression is equivalent to 5b+30?
A.
b+6
B.
5b+6
C.
5(b+6)
D.
5(b×6)
Step-by-step explanation:
The expression that is equivalent to 5b+30 is option C, 5(b+6).
To see why, we can distribute the 5 over the parentheses using the distributive property of multiplication:
5(b+6) = 5b + 5(6) = 5b + 30
So, option C is equivalent to the original expression 5b+30.
Use Pascal's Triangle to expand (x^2-3y)^4
Answer
The expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.
What is Pascal's triangle?Pascal's Triangle is a triangular array of numbers in which the value in each cell is the sum of the two numbers directly above it.
To expand the given expression (x²-3y)⁴ as per Pascal's triangle:
First, write down the fourth row of Pascal's Triangle as:
1 4 6 4 1
The above numbers represent the coefficients of the terms in the expansion of (a+b)⁴, where a is x² and b is -3y. Therefore, it can be written as,
1×(x²)⁴ + 4×(x²)³×(-3y) + 6×(x²)²×(-3y)² + 4×(x²)(-3y)³ + 1(-3y)⁴
Simplify each term,
x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸
Therefore, the expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.
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Darell made a scale drawing of a shopping center. The parking lot is 4 centimeters wide in the drawing. The actual parking lot is 40 meters wide. What scale did Darell use?
Answer:
1 cm to 10 m
Step-by-step explanation:
4 cm to 40 m = 1 cm to 10 m
can someone help with this please? i'm am bad a geometry.
The figure has line symmetry since one half of the figure is a mirror image of the other half.
What is line symmetry and point symmetry?A point symmetry, also known as reflection symmetry or symmetry with respect to a point, is a type of symmetry where an object remains unchanged when it is rotated by 180 degrees around a fixed point.
So in point symmetry if you have a line and you can find a point such that if you fold the line along that point, the two halves coincide perfectly, then the line possesses point symmetry.
This is not the case for this diagram as both halves does not have equal height.
For line symmetry, if you can draw a line (known as the line of symmetry) through a figure in such a way that one half of the figure is a mirror image of the other half, then the figure exhibits line symmetry.
The given figure passes line symmetry test.
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Write the expression |x-3| +|x-4| without the absolute value symbols if x is in the given interval. (-infinity, 1)
Answer:
6
Step-by-step explanation:
(x-3)(x-4)
= (1-3)(1-4)
= 2x3
=6