Rotate the given triangle 270° counter-clockwise about the origin.
[tex]\left[\begin{array}{ccc}-1&2&2\\-1&-1&3\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-1&[?]&[?]\\1&[?]&[?]\end{array}\right][/tex]
![Rotate The Given Triangle 270 Counter-clockwise About The Origin.[tex]\left[\begin{array}{ccc}-1&2&2\\-1&-1&3\end{array}\right][/tex][tex]\left[\begin{array}{ccc}-1&[?]&[?]\\1&[?]&[?]\end{array}\right][/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/PwEYgHEzW5XdO2QL2Mme5uZAtMxEv7F2.png)
Answers
The rotation of the triangle [tex]\left[\begin{array}{ccc}-1&2&2\\-1&-1&3\end{array}\right][/tex] 270° counter-clockwise about the origin gives [tex]\left[\begin{array}{ccc}-1&-1&3\\1&-2&-2\end{array}\right][/tex]
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point (x, y) is rotated 270° counter-clockwise about the origin, the new point is (y, -x)
The rotation of the triangle [tex]\left[\begin{array}{ccc}-1&2&2\\-1&-1&3\end{array}\right][/tex] 270° counter-clockwise about the origin gives [tex]\left[\begin{array}{ccc}-1&-1&3\\1&-2&-2\end{array}\right][/tex]
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Related Questions
Solve the quadratic equation by graphing it. Select all possible answers.
[tex]y=x^2+8x+12\\x=?[/tex]
Possible answers:
-6
6
-8
2
-2
8
No real solutions
Answers
The solutions to the given quadratic equation are x = -6 and x = -2
Quadratic equationsFrom the question, we are to solve the given quadratic equation
The given equation is
y = x² + 8x + 12
To solve the equation, we will set it equal to 0
That is,
x² + 8x + 12 = 0
Solving
x² + 8x + 12 = 0
x² + 2x + 6x + 12 = 0
x(x +2) +6(x + 2) = 0
(x +6)(x + 2) = 0
x +6 = 0 OR x +2 = 0
x = -6 OR x = -2
Hence, the solutions to the given quadratic equation are x = -6 and x = -2
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lim
x →1+. 1- x/x² - 1
Answers
Answer: [tex]\displaystyle \boldsymbol{-\frac{1}{2}}[/tex]
================================================
Work Shown:
[tex]\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{1-\text{x}}{\text{x}^2-1}\\\\\\\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{-(\text{x}-1)}{(\text{x}-1)(\text{x}+1)}\\\\\\\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{-1}{\text{x}+1}\\\\\\\displaystyle L = \frac{-1}{1+1}\\\\\\\displaystyle L = -\frac{1}{2}\\\\\\[/tex]
In the second step, I used the difference of squares rule to factor.
The (x-1) terms cancel which allows us to plug in x = 1. We plug this value in because x is approaching 1 from the right side.
what is the absolute value of -45/6. I need serious help
Answers
Answer:
[tex]\frac{15}{2}[/tex]
Step-by-step explanation:
The absolute value of a number is just its distance from zero. In other words, if it's negative, the absolute value would make the number positive. This makes the absolute value [tex]\frac{45}{6}[/tex]. Now, reduce to get[tex]\frac{15}{2}[/tex].
For a function f(x), the difference quotient is x + one-half h + 15. Which statement explains how to determine the average rate of change of f(x) from x = 5 to x = 8? Substitute 5 for x and 3 for h in the expression x + one-half h + 15. Substitute 5 for x and 8 for h in the expression x + one-half h + 15. Substitute 8 for x and 5 for h in the expression x + one-half h + 15. Substitute 8 for x and 3 for h in the expression x + one-half h + 15.
Answers
The average rate of change of f(x) from x = 5 to x = 8 would be gotten by; B: Substituting 5 for x and 8 for h in the expression x + one-half h + 15
How to used difference quotient to find average rate of change?The difference quotient is defined as a measure of the average rate of change of a function over an interval.
The limit of the difference quotient which is the derivative is the instantaneous rate of change.
This differential quotient in calculus is usually expressed as;
[f(x + h) - f(x)]/h
We are given the differential quotient as;
f(x) = x + ¹/₂h + 15
Thus, the average rate of change of f(x) from x = 5 to x = 8 would be gotten by;
Substituting 5 for x and 8 for h in the expression x + one-half h + 15
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I need a good answer, with a good explanation.
Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens. The girls plan to play as many games as they can before running out of tokens.
Write an expression to represent the total number of tokens that Janie and Jasmine will need to play each of the three games at least once. Let m represent the number of games that require 2 tokens; n represent the number of games that require 3 tokens; p represent the number of games that require 4 tokens.
Answers
The expression to represent the information will be 2(2m + 3n + 4p)
How to illustrate the expression?From the information given, Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens.
There are m number of games required.
There are n number of games that require 3 token.
Therefore, the expression to represent the information will be:
= 2(2 × m) + 2(3 × n) + 2(4 × p)
= 2(2m + 3n + 4p)
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Answer:
The other person who answered is incorrect!! The real answer is 2m + 3n + 4p
Step-by-step explanation:
have a good besti!!!!
-leeknowishawt
The property tax on a house with an assessed value of $624,000 is $7280. Determine the property tax on a house with an assessed value of $762,000, assuming the same tax rate.
Answers
Using proportions, the property tax on a house with an assessed value of $762,000 is of $8,890.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The tax rate, as a proportion, is:
7280/624000 = 0.011667.
Hence, the property tax on a house with an assessed value of $762,000 is of:
0.011667 x 762,000 = $8,890.
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The segment below is dilated by a scale factor of 22 to form I ′J ′ What is the measure of I ′J ′ ?
Answers
Answer:
18
Step-by-step explanation:
When dilating a segment by a scale factor, we multiply the original length by the scale factor to find the length.
2*9 = 18
If you vertically compress the exponential function f(x)=2^x by a factor of 5, what is the equation of the new function?
Answers
The equation of the new function is:
[tex]g(x) = \frac{2^x}{5}[/tex]
What is the equation of the compressed function?Here we have the function:
[tex]f(x) = 2^x[/tex]
A vertical compression by a factor of 5 is written as:
[tex]g(x) = f(x)/5[/tex]
Replacing the function f(x) we get:
[tex]g(x) = \frac{2^x}{5}[/tex]
That is the equation of the new function.
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The function g(x) is a transformation of the quadratic parent function, fx):
What function is g(x)?
90x)
15(x)
A. g(x) = 4x²
OB. g(x) = ² ->
O c. g(z) = -1¹
D. g(x)=-4x²
Answers
Answer: D
Step-by-step explanation:
The graph is narrower, so the coefficient of [tex]x^2[/tex] has an absolute value more than 1.
Eliminate B and C.Also, because g(x) opens down, the coefficient of [tex]x^2[/tex] is negative.
Eliminate A.This leaves D as the answer.
When a function is evaluated with a zero, it represents:
-the initial amount or starting point before a certain time.
-the initial amount or starting point.
-the initial amount or starting pint after a certain time
Answers
Answer: the initial amount or starting point.
Step-by-step explanation:
A file that is 273 megabytes is being downloaded. If the download is 18.9 complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answers
Answer:
51.6 megabytes
Step-by-step explanation:
It is asking you what 18.9 percent of 273 is. To find this you multiply 18.9 x 273 and then divide it by 100 which equals 51.597.
You then round it to the nearest tenths which gives you 51.6
Simplify
18÷[7+2{7+2(7-6)}+2
Answer is
[tex] \frac{2}{3} [/tex]
Show me the steps by steps
Answers
Answer:
[tex] \frac{2}{3} [/tex]
Step-by-step explanation:
=18÷[7+2{7+2(7-6)}+2]
=18÷[7+2{7+2×1}+2]
=18÷[7+2×9+2]
=18÷[7+18+2]
=18÷27
=[tex] \frac{18}{27} [/tex]
=9 two is 18 and 9 three is 27
So,
=[tex] \frac{2}{3} [/tex]
3) A communications company is planning a new network of specialty ZTX cables linking the major cities noted below. The cost to complete the project is $150 per mile. Draw a diagram of the minimum spanning tree and the cost associated with it.
Answers
The Minimum Spanning Tree diagram associated with ZTX's project is indicated as attached. The total cost associated with it is $1,664,550
What is a Minimum Spanning Tree?A graph spanning tree is a set of linked edges that encompass every vertex in the graph but do not create a cycle. A graph may have several such spanning trees.
The Minimum Spanning Tree, on the other hand, has the least cumulative edge weights.
What is the calculation for the attached minimum spanning tree?The starting point is Seattle.
The total minimum cost is given as:
(1306 + 629 + 435 + 1983 + 1225 + 1483 + 661 + 1145 + 1709 + 183 + 338) x 150
= $1,664,550
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The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches.
Suppose the area of this rectangle is less than 12 square inches. Which of the following numbers could be the value of the unknown number? Select all that apply.
Answers
Answer:
6,4
Step-by-step explanation:
I'm not sure if 4 is correct but 6 definitely is. I hope this helps
Find the sum of the series: 4+8+12+........to 20 term. In (n
Answers
Answer:
16
Step-by-step explanation:
4 , 8 , 12 , 16 , 20 , ....................... ans goes on
1) Can we predict the calories in a fast-food product if we know the amount of protein in that
product? Several fast-food products were examined and the number of calories and amount of
protein (in grams) were recorded. In the sample, the smallest and largest amounts of protein
were 4 grams and 22 grams, respectively. Analyzing the data resulted in the following
information:
Correlation of Protein and Calories = r = -0.87
The regression equation is Calories=302.5 -0.51 (Protein)
Interpret the correlation coefficient. There is a:
O strong negative linear relationship between protein amount and calories.
O weak negative linear relationship between protein amount and calories.
O strong positive linear relationship between protein amount and calories.
O weak positive linear relationship between protein amount and calories.
Answers
The correct option regarding the correlation coefficient is given as follows:
strong negative linear relationship between protein amount and calories.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.In this problem, the coefficient is of -0.87, which is a negative value with absolute value greater than 0.6, hence the relationship is strong is the correct option is given as follows:
strong negative linear relationship between protein amount and calories.
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Solve p/-1+ 17 = 13 for p.
Answers
Answer: 208
Step-by-step explanation:
[tex]\frac{p}{-1+17} =13[/tex]
[tex]\frac{p}{16} =13[/tex]
[tex](16)\frac{p}{16} =13(16)[/tex]
[tex]p=13*16[/tex]
[tex]p=208[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \frac{p}{-1}+17=13 \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Apply \ the \ properties \ of \ fractions: \frac{a}{-b}=-\frac{a}{b}. } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{=-\frac{P}{1} } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Apply\:the\:rule \:\frac{a}{1}=a} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{=-P} \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{-P+17=13} \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Subtract \ 17 \ from \ both \ sides. } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{-P+17-17=13-17} \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Simplify } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{-P=-4} \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Divide\:both\:sides\:by\:-1} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{-p}{1}=\frac{-4}{-1} } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Simplify } \end{gathered}$}[/tex]
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{P=4} \end{gathered}$}}[/tex]Someone please help I’m lost
Answers
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
There is one angle and an adjacent side of the triangle given equal to corresponding angle and side of the other triangle and if we observe the figure we can see that there's also a adjacent side XY common in both the Triangles.
Hence, the two triangles are congruent by SAS congruency criteria.
[tex] \qquad \large \sf {Conclusion} : [/tex]
SAS criteriasuppose that you borrowed 2000 from a friend and promise to pay back 3600 in 4 years. What simple interest rate will you pay?
Answers
The simple interest rate that the money would be paid is 20%
Simple interestFrom the question, we are to determine the interest rate that the money would be paid
Using the formula for simple interest,
S.I = PRT/100
Where S.I is the simple interest
P is the principal
R is the rate
and T is the time
From the given information,
P = 2000
S.I = Amount - Principal = 3600 - 2000 = 1600
R = ?
T = 4
Putting the parameters into the equation, we get
1600 = (2000 ×R × 4) / 100
1600 = 20 × R × 4
1600 = 80R
R = 20%
Hence, the simple interest rate that the money would be paid is 20%
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If in a one tail hypothesis test where H0 is not only rejected in the upper tail, the oval he = 0.0739 and Zstat = + 1.45, what is the statistical decision if the null hypothesis is tested at the .10 level of significance?
What is the statistical decision?
Reject or do not reject?
Answers
Considering the p-value, the decision is described as follows:
Since the p-value is less than [tex]\alpha[/tex], we reject [tex]H_0[/tex].
What is the relation between the p-value and the conclusion of the test hypothesis?Depends on if the p-value is less or more than the significance level:
If it is more, the null hypothesis is not rejected.If it is less, it is rejected.In this problem, we have that:
The p-value is of 0.0739.The significance level is of 0.1.Hence:
Since the p-value is less than [tex]\alpha[/tex], we reject [tex]H_0[/tex].
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Suppose a line has a slope of −5.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answers
The slope of a line parallel to this line is -5 and the slope of a line perpendicular to this line is 1/5
How to determine the slopes?The slope is given as:
m = -5
Parallel line have the same slope.
So, the slope of a line parallel to this line is -5
However, perpendicular lines have their slopes to be opposite reciprocal
This means that:
Perpendicular slope = -1/-5Perpendicular slope = 1/5The slope of a line perpendicular to this line is 1/5
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if your restaurant serves 50 bowls of French onion soup daily and each serving has 8 ounces of onion per portion. Do you think it would be better to purchase whole onions at $1.99 per pound, and cut them yourself, or purchase pre-sliced onions at $2.99 per pound? Explain your rationale using a cost and portion argument
Answers
The second option saves time and cleaning elements, so that one is better.
Which option is better?We know that every day you sell a total of 50 bowls, and each one needs 8 oz of onion, this means that you need:
50*8 oz = 400 oz
So you need 400 ounces of onion per day.
If you buy at $1.99 per pound (1 lb = 16 oz)
Then the cost per ounce is:
c = $1.99/16
And the cost of 400 ounces is:
C = ($1.99/16)*400 = $49.75
In the case of the pre-sliced onions, the total cost would be:
C' = ($2.99/16)*400 = $74.75
So in the first case, each portion costs:
$49.75/50 = $0.995
And in the second case:
$74.75/50 =$1.495
So the extra cost is returned by the extra time and savings in cleaning elements, thus, the second option is better.
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Someone please help!
Answers
Answer:
obtuse
Step-by-step explanation:
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
In the above problem, it's given that one of the angles of the triangle exceeds 90° [ that is : 97° ]
[tex] \qquad \large \sf {Conclusion} : [/tex]
hence, it's an obtuse angled triangle
What is the simple interest earned on $ 235 at 4.5 % for 2 years?
Answers
Answer:
$21.15
Step-by-step explanation:
(235)(.045)(2)
find HM if HG=18, FM=5, and EM=9
Answers
Answer:
HM = 3 or HM = 15
Step-by-step explanation:
The product of segment lengths is the same for both chords.
SetupFM·EM = GM·HM
GM +HM = 18
Substituting for GM, we have ...
FM·EM = (18 -HM)·HM
5·9 = (18 -HM)·HM
SolutionEffectively, we want two factors of 45 that have a total of 18. Looking at the factors of 45, we have ...
45 = 1·45 = 3·15 = 5·9
The totals of these pairs are 46, 18, 14. The factor pair we're looking for is 3·15.
Either of these factors could be HM. The other will be GM.
There is nothing in the problem description that suggests the length of HM relative to other lengths on the diagram. (We know the diagram is not to scale.) So, there are two possible solutions:
HM = 3 or HM = 15
A city has a population of 350,000 people. Suppose that each year the population grows by 4.75%. What will the population be after 13 years? Use the calculator provided and round your answer to the nearest whole number.
Answers
Answer: 4766125
//////////
Answer:
Step-by-step explanation:
first you we need to times 350,000 4.75 and you got 1662500 then subtract 1662500 - 13 years you got 1662487.
Johnny picks up a baseball and throws it to Rob who is exactly 130 feet away at a direction of 50 degrees. Rob then throws the ball to Patrick who is 50 feet from Rob in a direction of 30 degrees. Find the exact distance and direction that Patrick is from Johnny.
I need to sketch a triangle.
Answers
The exact distance and direction that Patrick is from Johnny is; 177.81 ft and 215.52°
How to utilize trigonometric ratios?Let the distance of Johnny to Patrick be x.
The angle opposite x would be; (90 - 50) + 90 + 30 = 160°
We will therefore use the cosine rule to find x;
X² = A² + B² - 2ABcosx
Where;
A and B are the distance of Johnny to Rob and Rob to Patrick respectively. Thus;
X² = 130² + 50² - 2(130)(50)cos160
X²= 16900 + 2500 + 12216.004
X² = 31616.004
X = 177.81 ft
To get the direction "y" we will use sine rule;
50/siny = 177.809/sin160
50/siny = 177.809/0.342
50/siny = 519.9094
Siny = 50/519.904
Siny = 0.09617
y = sin⁻¹(0.09617)
y = 5.52°
The bearing of Patrick from Johnny is;
5.52 + 30 + 180 = 215.52°
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Children learn to duplicate patterns when they can identify the rule, that is, when the unit repeats and the pattern becomes predictable.
a. True
b. False
Answers
Children learning to duplicate patterns when they can identify the rule, that is, when the unit repeats and the pattern becomes predictable is a true statement.
What are Patterns?
This involves the regularity or repeated way in which something is done or arranged.
Children are very inquisitive and tend to make logical connections when dealing with patterns due to their reasoning skills thereby aiding their learning process.
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The function f(x)=−4x4+3x3−2x2−x+5 is/has A. order 2 rotational symmetry about the origin
B. neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin
C. even
D. odd
Answers
The answer choice which describes the function is; Choice B; neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin.
What is rotational symmetry?Rotational symmetry, otherwise termed radial symmetry, is the characteristic of a shape when it looks the same after some rotation by a partial turn. On this note, since the function represents a quartic graph, it follows that the function has neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin.
Therefore, the function f(x) = −4x⁴ + 3x³ − 2x² − x + 5 is neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin.
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3 On Saturday Keisha ran 35
she ran 41 kilometers. How much farther did she run on
Saturday than on Sunday?
Answers
By subtracting decimals, how much farther she ran on Saturday than on Sunday is determined as: 1.078 kilometers.
How to Subtract Decimals?When subtracting decimals, the number value is taken into consideration.
Distance ran by Keisha on Saturday = 3.218 kilometers.
Distance ran by Keisha on Sunday = 2.41 kilometers.
Subtract both decimals to determine how much farther she run on Saturday than on Sunday.
3.218 - 2.14 = 1.078 kilometers.
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