Answer:
Please you didn't provide the coordinates of figure A and figure B, only the scale factor. If you provide the coordinates,I will be able to solve it.
Thank you.
use coordinate notation to write the rule that maps each preimage to its image. Then confirm that the transformation is not a rigid motion.Number 8
In geometry, transformation involves changing the position and/or size of a shape.
The coordinate notations are:
[tex](x,y) \to (\frac{1}{2}x,\frac{1}{2}y)[/tex]. [tex](x,y) \to (2x,y)[/tex].Both transformations are not rigid
[tex]7.\ \triangle ABC \to \triangle A'B'C'[/tex]
Using coordinates A and A', as a reference;
We have:
[tex]A = (6,6)[/tex]
[tex]A' = (3,3)[/tex]
Divide A' by A to get the scale ratio (k)
[tex]k = \frac{A'}{A}[/tex]
[tex]k = \frac{(3,3)}{(6,6)}[/tex]
Factorize
[tex]k = \frac{(3,3)}{2 \times (3,3)}[/tex]
[tex]k = \frac{1}{2}[/tex]
Hence, the coordinate notation is:
[tex](x,y) \to (\frac{1}{2}x,\frac{1}{2}y)[/tex]
Calculate distance AB and A'B' using:
[tex]d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2}[/tex]
So, we have:
[tex]AB = \sqrt{(6 - 4)^2 +(6 - -2)^2} = \sqrt{68}[/tex]
[tex]A'B' = \sqrt{(3 - 2)^2 +(3 - -1)^2} = \sqrt{17}[/tex]
Because
[tex]AB \ne A'B'[/tex]
We've confirmed that the transformation is not rigid
[tex]8.\ \triangle FGH \to \triangle F'G'H'[/tex]
Using coordinates F and F';
We have:
[tex]F = (-1,1)[/tex]
[tex]F' = (-2,1)[/tex]
Divide the x-coordinate of F' by F to get the scale ratio (k) because the y-coordinates of the pre-image and the image are the same
[tex]k = \frac{F'}{F}[/tex]
[tex]k = \frac{-2}{-1}[/tex]
[tex]k = 2[/tex]
Hence, the coordinate notation is:
[tex](x,y) \to (2x,y)[/tex]
Calculate distance FG and F'G' using:
[tex]d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2}[/tex]
So, we have:
[tex]FG = \sqrt{(-1 - 1)^2 +(1 - -1)^2} = \sqrt{8}[/tex]
[tex]F'G' = \sqrt{(-2 - 2)^2 +(1 - -1)^2} = \sqrt{20}[/tex]
Because
[tex]FG \ne F'G'[/tex]
We've confirmed that the transformation is not rigid
Read more about transformations at:
https://brainly.com/question/11709244
For the function f(x)=11x−169‾‾‾‾‾‾‾‾‾‾√3, find f(4).
Answer:
you replace the x with 4 that is
4= 11*4-169
Step-by-step explanation:
Write an equation for the nth term of the arithmetic sequence 6,3,0,-3,...?
Answer:
the answer is 3-3n
Step-by-step explanation:
6-(n-1)x3
=3-3n
An equation for the nth term of the arithmetic sequence is aₙ=9-3n.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.
The given arithmetic sequence is 6,3,0,-3,...
Here, first term a=6 and common difference is 3-6=-3
Substitute a=6 and d=-3 in aₙ=a+(n-1)d, we get
aₙ=6+(n-1)(-3)
aₙ=6-3n+3
aₙ=9-3n
Therefore, an equation for the nth term of the arithmetic sequence is aₙ=9-3n.
To learn more about an arithmetic sequence visit:
https://brainly.com/question/10396151.
#SPJ2
What difference did 0% score make? Does this mean represent Brandee ability more accurately
Because of the test she did not take, Brandee scored a 9.75% lower average than her average score once her teacher allowed her to take the test again.
The average obtained once Brandee's teacher allowed him to present the missing test is much more accurate regarding Brandee's ability, this can be identified since it went from an average of 85.14% with 7 scores, to one of 84.25% with 8 scores, different from the average of 74.5% obtained thanks to that score of 0.
BRANDEE'S AVERAGE CALCULATION.
In the exercise, you can see Brandee's scores are: 80%, 92%, 91%, 75%, 89%, 84%, 0%, and 85%, if you calculate the average in that case:
First Brandee's average = (80 + 92 + 91 + 75 + 89 + 84 + 0 + 85) / 8First Brandee's average = 74.5But when Ms. Juarez allowed her to make up the missed test, in which she got 78%, The average increased too much:
Second Brandee's average = (80 + 92 + 91 + 75 + 89 + 84 + 78 + 85) / 8Second Brandee's average = 84.25As can be identified, most of Brandee's scores are above 80%, therefore, it is considered more accurate that her average is above this value, that is, it is an average that would represent much better the ability of Brandee.
You can see another exercise about average in the next link: https://brainly.com/question/20763190?referrer=searchResults
Maria was playing a game with her brother. She said, "I'm thinking of a number. When you multiply my number by six and add seven, you get twenty-five. What is my number?"
Answer:
3
Step-by-step explanation:
Subtract 7 from 25 which would be 18
Then divide by 6
It really is simple
Let x be the first factor in an expression in scientific notation describe the possible values of x
Answer:
1≤x<10, meaning x must be greater than or equal to 1 and less than 10
Step-by-step explanation:
g A manufacturer is making cylindrical cans that hold 300 cm3. The dimensions of the can are not mandated, so to save manufacturing costs, the manufacturer wants to make the can that uses the least material. What are the dimensions, to the nearest three decimal places, of the can that has the smallest surface area
Answer:
The dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.
Step-by-step explanation:
A cylindrical can holds 300 cubic centimeters, and we want to find the dimensions that minimize the cost for materials: that is, the dimensions that minimize the surface area.
Recall that the volume for a cylinder is given by:
[tex]\displaystyle V = \pi r^2h[/tex]
Substitute:
[tex]\displaystyle (300) = \pi r^2 h[/tex]
Solve for h:
[tex]\displaystyle \frac{300}{\pi r^2} = h[/tex]
Recall that the surface area of a cylinder is given by:
[tex]\displaystyle A = 2\pi r^2 + 2\pi rh[/tex]
We want to minimize this equation. To do so, we can find its critical points, since extrema (minima and maxima) occur at critical points.
First, substitute for h.
[tex]\displaystyle \begin{aligned} A &= 2\pi r^2 + 2\pi r\left(\frac{300}{\pi r^2}\right) \\ \\ &=2\pi r^2 + \frac{600}{ r} \end{aligned}[/tex]
Find its derivative:
[tex]\displaystyle A' = 4\pi r - \frac{600}{r^2}[/tex]
Solve for its zero(s):
[tex]\displaystyle \begin{aligned} (0) &= 4\pi r - \frac{600}{r^2} \\ \\ 4\pi r - \frac{600}{r^2} &= 0 \\ \\ 4\pi r^3 - 600 &= 0 \\ \\ \pi r^3 &= 150 \\ \\ r &= \sqrt[3]{\frac{150}{\pi}} \approx 3.628\text{ cm}\end{aligned}[/tex]
Hence, the radius that minimizes the surface area will be about 3.628 centimeters.
Then the height will be:
[tex]\displaystyle \begin{aligned} h&= \frac{300}{\pi\left( \sqrt[3]{\dfrac{150}{\pi}}\right)^2} \\ \\ &= \frac{60}{\pi \sqrt[3]{\dfrac{180}{\pi^2}}}\approx 7.25 6\text{ cm} \end{aligned}[/tex]
In conclusion, the dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.
1. Milania makes $17 per hour and works 30 hours per week. She loses 20% of her check to taxes.
What is the amount of the weekly check? Select all answers that apply. *
(1 Point)
O $510
O $408
O (17)(30)
O (17)(30)-(.2)(17)(30)
HELP
Answer:
please give my answer first
Answer:
408 is correct
0.8 x 510 = 408
Step-by-step explanation:
When we get a sale value or reduced value to find
This is a short cut of workings in bold to find correct value.
10% of 510 = 51
20% of 510 = 102
510-102 =408
17 x 30 = 510 Not correct as calculated before taxes.
100-80/ 100 = 0.8
0.8 x 510 = 408
408/510 = 0.8 Is correct
0(17) (30) = 510 Not correct as calculated before tax
510 - 2(17)(30) = 510 i Not correct as calculated before tax.
You have a box of tiles, each of which measures 6 by 10 inches. What is the least number of tiles you could use to form a square region? (Use this square to show how they would be arranged.) The prime factorizations of five numbers are given. Use them to find each of A and В
The least common multiple can be used to find the smallest square formed by equal sized shapes
The least number of tiles to be used is 15 tiles
The arrangement of the tiles, with the 6 inch side as base is 3 rows by 6 columns of tiles
The reason the above responses are correct is as follows:
The unit area of each square tile = 6 inches by 10 inches
Therefore, the area of the square obtained is a factor of 6 × 10 = 60 in.²
The side of the square have 6 and 10 as factors
The lowest common multiple of 6 and 10 is 30
Therefore, the smallest square has a side length of 30 inches and an area of 30 in. × 30 in. = 900 in.²
The least number of tiles = Area/(The area of each tile)
Therefore, the least number of tiles = 900 in.²/(60 in.²/tile) = 15 tiles
The least number of tiles = 15 tiles
The arrangement of the 15 tiles are as follows;
With the 6 inch width side as the base, five tiles are arranged along the base, three more rows are constructed using the same process to form the 30 inch by 30 inch square to give 3 rows by 6 columns of tiles
Learn more about least common multiples here:
https://brainly.com/question/12396592
Write the value of the following Roman numerals in the Hindu Arabic:CDXIII
Answer:
Step-by-step explanation:
413
Help fast! Round the measurement 1258 mL into three significant figures
Answer:
1000mL, 1300mL and 1260mL
Step-by-step explanation:
► 1-79 A new car purchased for $27.000 loses 15% of its value each year.
Mrs. Ellis can divide her class into groups of 3 students or 4 students. Which of the following is a possible size of her class? plz hurry and answer
Answer:
24
Step-by-step explanation:
24/3=4
24/4=3
A linear function has a slope of 2 and passes through the point (0,6). What is the equation of the line?
Show the product -2• (-5) on the number line. Explain how you found your answer
Answer:
it would be difficult (or at least somewhat confusing) to try to diagram out this question with a drawing on a number line....
the concept here is that the -5, and -2 are NOT "subtracting" but "opposites"
so on a number line you can start at "-5" and draw an arrow to 5 and do the same for "-2"
then show the multiplication as a series of additions (5 2's added together)
Step-by-step explanation:
the digits 2, 4, 6 and 8 are each used once to create two 2 - digit numbers. What is the largest possible difference between the two 2 - digits numbers?
Answer:
62
Step-by-step explanation:
you make the largest and smallest 2 digit numbers which are 24 and 68. then you find the difference which gives you 62
2 minus the product of 3 and p
Write an algebraic expression
Answer:
2 - (3*p)
Step-by-step explanation:
The volume of a sphere is 36-pie-ft-three squared
what is the radius of the sphere use the formula v= 4/3 -pie- r-3 squared
Answer:
3 ft
Step-by-step explanation:
V = 4/3 π r³
36 π = 4/3 π r³
=> eliminate π
36 = 4/3 r³
r³ = 36×¾
r³ = 27
r = ³√27
r = 3
so, the radius of the sphere = 3 ft
Volume=36π
4/3πr³=36π4/3r³=3r³=36(3/4)r³=27r=3ftHow did growers in the South attempt to rebuild their cotton market?
Produced more cotton
Raised the price of cotton
Hired more laborers
Sold their land
Find the cube of each number.
8
Answer:
2 cubed is 8
Step-by-step explanation:
Chow,...!
Simplify the following expression: (−3)(−2)( −2) (1 point)
a
−12
b
12
c
−18
d
18
Answer:
Choice A, -12
Step-by-step explanation:
(−3)(−2)( −2)
6(-2)
-12
3(x+4)=7x-18 brainliest
Answer:
x=15/2
give brainliest please
Answer:
3(x+4)=7x-8
3x+12=7x-8
7x-3x=8+12
4x=20
x=20/4
x=5
An angle measures 85.2° less than the measure of its complementary angle. What is the measure of each angle?
Answer:Complementary angles are two angles whose sum is 90 degrees.
Let x represent one of the angles.
The other angle which is 84.2 degrees less would be x - 84.2.
Using this, we can write an equation.
x + (x-84.2) = 90.
Combine like terms: 2x - 84.2 = 90
Add 84.2 to both sides of the equation.
2x = 174.2
Divide by 2: x = 87.1
and x - 84.2 would equal 2.9. to check: does 87.1 + 2.9 = 90? yes.
Step-by-step explanation: Thats as close as its gonna it i think
R(-6, 1), S(-3, -3)
Find the coordinates of the midpoint of a segment with given endpoints
Answer:
[tex]\boxed {\boxed {\sf ( - \frac{9}{2}, -1) \ or \ (-4.5, -1) }}[/tex]
Step-by-step explanation:
We are asked to find the midpoint of a line segment. When you find the midpoint, you essentially find the average of the x-coordinates and the y-coordinates. The midpoint formula is:
[tex](\frac {x_2+x_1)}{2}, \frac{y_2+y_1}{2})[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the endpoints of the line segment. we are given the endpoints R (-6, 1) and S (-3, -3). If we match the value and the corresponding variable we see that:
x₁= -6 y₁= 1 x₂= -3 y₂= -3Substitute the values into the formula.
[tex]( \frac{-3 + -6}{2} , \frac{ 1+ -3}{2} )[/tex]
Solve the numerators.
-3 + -6 = -9 1 + -3 = -2[tex](\frac {-9}{2}, \frac {-2}{2})[/tex]
Divide.
[tex]( - \frac {9}{2}, -1})[/tex]
The fraction can also be written as a decimal.
[tex](-4.5 , -1)[/tex]
The midpoint of the line segment RS is (-9/2, -1) or (-4.5, -1).
Please help me! I really need it. ...You deposit 1500 every month starting today in an investment account but would withdraw 750 at the end of every 12 month period. interest is 14% compounded monthly. how much would be in the account before and after the last withdrawal?
Answer: multiply 750 and 12
Divide that by the 14%
Step-by-step explanation:
SOMEONE PLS HELP ME I REALLY NEED THIS
Answer:
A
the anwser is a im just typing this becsuse it told me my anwser was too short
Simplify the algebraic expression (4b5 - 7) + (12b5 - 1)
Answer:
16b^5 - 8
Step-by-step explanation:
(4b5 - 7) + (12b5 - 1)
4b^5 - 7 + 12b^5 - 1
4b^5 + 12b^5 - 7 - 1
16b^5 - 8
There is a new food delivery company that charges $10 to deliver 3 meals and $16 to deliver
12 meals. If the charging rate remains constant, how much will it cost to deliver 9 meals?
Using a linear function, it is found that it will cost $14 to deliver 9 meals.
------------------------------
A linear function has the following format:
[tex]y = mx + b[/tex]
In which
m is the slope(rate of change).b is the y-intercept(value of y when x = 0).------------------------------
To build the linear function, we use the two points given by the exercise: (3,10), (12,16)------------------------------
The slope is given by the change in y divided by the change in x, thus:
Change in y: 16 - 10 = 6Change in x: 12 - 3 = 9Slope: [tex]m = \frac{6}{9} = \frac{2}{3}[/tex]Thus:
[tex]y = \frac{2}{3}x + b[/tex]
------------------------------
Using one of the point, we can find b.I am going to use (3,10), which means that when [tex]x = 3, y = 10[/tex]. Thus:[tex]y = \frac{2}{3}x + b[/tex]
[tex]10 = \frac{2}{3}(3) + b[/tex]
[tex]2 + b = 10[/tex]
[tex]b = 8[/tex]
The cost of delivering x meals is given by:
[tex]y = \frac{2}{3}x + 8[/tex]
------------------------------
The cost of delivering 9 meals is y when x = 9, thus:
[tex]y = \frac{2}{3}(9) + 8 = 2\times3 + 8 = 6 + 8 = 14[/tex]
It will cost $14 to deliver 9 meals.
A similar problem is given at https://brainly.com/question/21010520
Which of the below measures of central tendency is/are always unique ?
O a. Mode only.
O b. Mode and Median.
O c. Mean and Median
O d. Mode and Mean.
If AB=CD, CD = 9in, BC = 5x, and AD = 53 in. , find BC
Answer:
BC = 35in.
Step-by-step explanation:
AD says the entire line is 53in.
AB says it is equal to CD.
CD says it equals 9in so AB + CD = 18in.
BC says it equals 5x.
AB+BC+CD = AD
(9) + (5x) + (9) = 53
5x + 18 = 53
Subtract 18 from both sides
5x = 35
We can stop here because we know that BC = 5x and 5x = 35in.
