A right triangle with vertices P(-3,9) Q(-3,5) R(-7,5) is reflected on the y-axis then the image is rotated 180 degrees about the origin. What are new coordinates of the right triangle?
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We could start by drawing the triangle we are given. However, it would be better to draw the triangle after the y-axis reflection. To calculate the y-axis reflection, we first think as follows
We see that the reflected point is at the same height as the original point. This means that the y coordinate should remain the same. So, the only thing that changed is the x coordinate. This suggests that, to calculate the reflection about the y-axis, we simply multiply by -1 the first coordinate. So, after the reflection we get the points
P'(-3*(-1),9)=(3,9)
Q'(-3*(-1),5)=(3,5)
R'(-7*(-1),5) =(7,5)
Now, if we plot this points we get
So, if we rotate this 180° we would get the following
So the new points after rotating 180°, would be
P''(-3,-9)
Q''(-3,-5)
R''(-7,-5)
Related Questions
Each of the 6 students reported the number of movies the saw in the past year.11, 17, 11,8, 15, 9find the Median & Mean number of movies that each student saw round to the nearest tenth
Answers
Solution
The median is the middle number in a sorted, ascending or descending, list of numbers
We need to arrange them in ascending order
8, 9, 11, 11, 15, 17
The middle numbers are 11 and 11
Median = (11 + 11)/2 = 11.
Mean is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list.
[tex]\text{ Mean}=\frac{8+9+11+11+15+17}{6}\approx11.8[/tex]Median is 11
The mean is 11.8
A positive real number is 1 less than another. When 2 times the larger is added to the square of the smaller, the result is 8. Find the numbers.
Answers
Answer:
Let your two numbers be n and n-1. Then: 2n+n²-2n+1=51 n²=50 n=5√2 n-1=5√2-1
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the graph of quadratic function g is shown on the grid. the coordinates of the x-intercepts, the y-intercepts, and the vertex are integers what is the maximum value of g? A) (0, - 8)B) (- 4,0)C) (- 3, 1)D) (- 2, 0)
Answers
SOLUTION:
Case: The minimum value from a graph
Given: Integer values of vertex and intercepts
Required: To find the maximum value of g
Method:
Tracing the maximum point and value from the graph. This is usually the point on the graph where y has its highest value
Final answer:
The maximum value is at (-3, 1)
find the missing value of the probability distribution
I inserted the link to the question. please help asap
Answers
The missing value of the probability distribution is 0.05.
What is the probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
X : 0 1 2 3 4
P(X) : 0.30 0.25 0.25 0.15 ?
A discrete probability distribution function has two characteristics:
Each probability is between zero and one, inclusive. The sum of the probabilities is one.P(X = 4) = 1 - (0.30 + 0.25 + 0.25 + 0.15)
Apply the addition operation,
P(X = 4) = 1 - 0.95
Apply the subtraction operation to get
P(X = 4) = 0.05
Therefore, the missing value of the probability distribution is 0.05.
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Last year the volleyball team paid $5 per pair for socks and $17 per pair for shorts on a total purchase of $315. This year they spent $342 to buy the same number of pairs of socks and shorts because the socks now cost $6 a pair and the shorts cost $18.
a. Write a system of two equations that represents the number of pairs of socks and shorts bought each year.
b. How many pairs of socks and shorts did the team buy each year?
Answers
a. The system of equations to be solved is
5so + 17sh= 315
6so + 18sh= 342
b. The amount of pairs of socks and shorts bougth are 12 and 15 respectively.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Systems of linear equations have as a solution set all ordered pairs (x, y) that satisfy the equation, where x and y are real numbers.
This caseIn this case, a system of linear equations must be proposed taking into account that:
"so" is the pairs of socks bougth ."sh" is the amount of shorts bougth.You know that:
Last year the volleyball team paid $5 per pair for socks and $17 per pair for shorts on a total purchase of $315. This year they spent $342 to buy the same number of pairs of socks and shorts because the socks now cost $6 a pair and the shorts cost $18.So, the system of equations to be solved is
5so + 17sh= 315
6so + 18sh= 342
There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the unknowns in one of the equations and substituting the expression in the other equation.
In this case, isolating the variable "so" in the first equation, you obtain:
5so= 315 - 17sh
so= (315 - 17sh)÷5
so= 315÷5 - 17÷5sh
so= 63 - 17/5sh
Replacing this expression in the second equation you get:
6×(63 - 17/5sh) + 18sh= 342
Solving:
6×63 - 6×17/5sh + 18sh= 342
378 - 102/4sh + 18sh= 342
- 102/4sh + 18sh= 342 - 378
-12/5sh= -36
sh= (-36)÷ (-12/5)
sh= 15
Remembering that so= 63 - 17/5sh, you get
so= 63 - 17/5×15
so= 12
Finally, the amount of pairs of socks and shorts bougth are 12 and 15 respectively.
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16. Find the measure of 2 ABC in circle D.a. 100A100b. 50C. 140d. 25
Answers
we have that
m by inscribed angle
so
mm
Which property is shown here?10 + (4 + 7b) = (10 + 4) + 7bDistributive PropertyAssociative Property of AdditionAssociative Property of MultiplicationCommutative Property of AdditionCommutative Property of Multiplication> Next Question
Answers
the property shown is the Cummulative Property of Addition
10 + (4 + 7b) = 14 + 7b
(10 +
Hi, can you help me answer this question please, thank you
Answers
We have the following information from the question:
[tex]\begin{gathered} sample\text{ size, n=18} \\ \text{standard deviation=0.4} \\ \text{sample mean, }\bar{\text{x}}=\frac{sum\text{ of data values}}{\text{number of data values}} \\ \bar{x}=\frac{3149.94}{18} \\ \bar{x}\cong175 \end{gathered}[/tex]a) To get the critical value, we would find the significance level first.
Thus, we have:
[tex]\begin{gathered} \text{Significance level, }\alpha=1-confidence\text{ interval} \\ C.I=80\text{\%=0.8} \\ \alpha=1-0.8 \\ \alpha=0.2 \end{gathered}[/tex][tex]\begin{gathered} \text{Critical value=Z}_{\frac{\alpha}{2}}=Z_{\frac{0.2}{2}}=Z_{0.1}=1.28\text{ ( from the z-table)} \\ \text{Therefore, critical value=}\pm\text{1.28}0 \end{gathered}[/tex][tex]\begin{gathered} S\tan dard\text{ deviation of the sample mean, }\sigma_{\bar{x}}=\frac{\sigma}{\sqrt[]{n}} \\ \sigma_{\bar{x}}=\frac{0.4}{\sqrt[]{18}}=0.0943 \end{gathered}[/tex]b) To find the confidence interval, we have to obtain the Margin of Error first.
[tex]\text{Margin of Error,E}=\text{critical value}\times\text{standard deviation of the sample mean(standard error)}[/tex][tex]\begin{gathered} E=1.28\times0.0943 \\ E=0.1207 \end{gathered}[/tex]Therefore, the Confidence Interval is:
[tex]\bar{x}-E<\mu<\bar{x}+E[/tex][tex]\begin{gathered} 175-0.1207<\mu<175+0.1207 \\ 174.88<\mu<175.12 \end{gathered}[/tex]Jacki works at the mattress store and collects 4.9% commission on every mattress she sells. She had a big sales day today and ended up selling a total of $8948.96 worth of mattresses. How much commission will she make today?
Answers
Answer:438.499
Step-by-step explanation:4.9% of 8948.96(also calcuator)
Two buses leave a station at the same time and travel in opposite directions. One bus travels 9 km/h slower than the other. If the two buses are 514 kilometers apart after 2 hours, what is the rate of each bus?
Answers
I need a tutor for Honors Geometry please! I am a Freshman!
Answers
Work out 402.759 + 38.06?
Answers
Answer:
430.819
Step-by-step explanation:
If s varies inversely as t and s = 8 when t = 5, find the equation that connects s and t.
Answers
We know that:
- s varies inversely as t
- s = 8 when t = 5
And we must find the equation that connects s and t
To find the equation that connects s and t we must use that
In this case, we can say that s = x and t = y. So, our equations would be
[tex]\begin{gathered} st=k \\ \text{ or,} \\ s=\frac{k}{t} \end{gathered}[/tex]Now, knowing that s = 8 when t = 5 we can replace the values in the first equation
[tex]8\cdot5=40[/tex]So, k = 40
Finally, replacing k = 40 in the second equation we obtain
[tex]s=\frac{40}{t}[/tex]ANSWER:
A) s = 40 / t
The display shows the favorite sport among 9th graders.
Bar graph shows student preferences for sports, with 16 students preferring baseball, 34 preferring basketball, 43 preferring football, 4 preferring soccer, and 3 preferring swimming.
Which of the following describes the data set?
Univariate and categorical
Univariate and numerical
Bivariate and categorical
Bivariate and numerical
Answers
The data-set for the favorite sport among 9th graders is classified as follows:
Univariate and categorical.
What are the classification of variables?The variables can be classified as categorical or numerical depending on the values that they assume as follows:
Categorical: The possible values assumed by the variable are labels, such as yes/no, good/bad, basketball, baseball, football, soccer and so on..Numerical: The values assumed by the variable are numbers.In this problem, the values assumed by the variable sport are:
Baseball, Basketball, Football, Soccer, Swimming.
Since these are names, the data-set is classified as categorical.
The only variable in this problem is the favorite sport of each student, that is, there is one variable, hence the student is classified as univariate.
Thus the correct option is the first one, given by:
Univariate and categorical.
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At the hardware store, a carpenter spent $100.00 on wood and $100.00 on tools. How much did he spend in all?
Answers
Answer: 200.00
Step-by-step explanation:
Am I reading it wrong? 100 + 100 = 200
100.00 + 100.00 is the same thing except with decimal points
If the m42 = 40, what is the m45?
Answers
Answer:
m5 = 140
Step-by-step explanation:
m1 = m2
m1 = 40
m5 + m1 = 180
m5 + 40 = 180
m5 = 140
i need the first five terms and the 23 term thank you
Answers
we have the following:
[tex]a_n=\frac{11}{8}+\frac{1}{2}n[/tex]therefore, n = 23
[tex]\begin{gathered} a_{23}=\frac{11}{8}+\frac{1}{2}23 \\ a_{23}=\frac{11}{8}+\frac{23}{2} \\ a_{23}=\frac{11\cdot2+23\cdot8}{8\cdot2}=\frac{22+184}{16}=\frac{206}{16}=\frac{103}{8} \end{gathered}[/tex]the answer is 103/8
3 (a + b)solve ______= b for a c
Answers
First, apply distributive property:
[tex]\frac{3(a)\text{ + 3\lparen b\rparen}}{c}=b[/tex][tex]\frac{3a+3b}{c}=b[/tex][tex]3a+3b=bc[/tex][tex]3a\text{ = bc - 3b}[/tex]Common factor b
[tex]3a=b(c-3)[/tex][tex]a=\frac{b(c-3)}{3}[/tex]72 is equal to 80% of a number n. write and solve an equation to find n. write the percent as a decimal
Answers
Answer:
n=90
Step-by-step explanation:
80% as a decimal is 0.80
0.80n = 72
n = 72/0.80
n = 90
look on the top and see a answer with apple)
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Francisco is the youngest of four siblings whose ages are consecutive integers. If the sum of their ages is 74, find Francisco's age.
Answers
Answer:
Francisco is 17.
Step-by-step explanation:
Francisco is the youngest. This means that his three siblings are all older than he is.
Let
x = Francisco's age
"Consecutive" means that the ages of the siblings are in a row, like stairsteps. He is the youngest and the others are +1, +1 , +1.
The ages are x and x+1, the next one x+2 and the oldest is x+3.
x+x+1+ x+2 + x+3=74
The question said the sum of their ages is 74. "Sum" means we add the ages.
x+x+1+x+2+x+3 = 74
Combine like terms.
4x + 6 = 74
Subtract 6.
4x + 68
Divide by 4.
x = 17
Francisco is 17.
Check:
Francisco is 17, so his brothers or sisters are 18, 19, and 20.
17 + 18+19+20 = 74
74 = 74 Check!
At the local corner store, you can buy a 3-ounce bag of Nacho Cheese Doritos for $0.78 At Costco, you can get a larger 15-ounce bag of Nacho Cheese Doritos $3.75 Which is the better buy?
Answers
A 15 ounce bag = $3.75
15 divided by 3 = 5
0.78 x 5 = 3.9
3.9 is greater than 3.75
So technically the 15 ounce bag is the better buy
Which of the following graphs has the smallest y-intercept and which graph would have the largest maximum as X moves towards 100?
Answers
Step 1
Given;
Step 2
[tex]\begin{gathered} y=1.3x \\ y-interecept\text{ is found when we set x=0} \\ y=1.3(0) \\ y-intercept=(0,0) \end{gathered}[/tex][tex]\begin{gathered} y=(1.3)^x \\ y=(1.3)^0 \\ y=1 \\ y-intercept=(0,1) \end{gathered}[/tex][tex]\begin{gathered} y=-0.8x+10 \\ y=-0.8(0)+10 \\ y=10 \\ y-intercept=(0,10) \end{gathered}[/tex][tex]\begin{gathered} y=10(0.8)^x \\ y=10(0.8)^0 \\ y=10 \\ y-intercept=(0,10) \end{gathered}[/tex]Thus,
[tex]y=1.3x\text{ has the smallest y-intercept}[/tex][tex][/tex]Coach Matt is making dodgeball teams. He has 16 fifth gradets and 36 sixth graders. To be fair, Coach Matt wants there to be the same number of 5th graders and the same of the sixth graders on each team. Can coach Matt make a teams using all the 5th and 6th graders do the statement that explains why or why not .Here are the choices:1. No. 8 is a factor of 36 but not a factor of 162. Yes. 8 is a common factor of 16 and 363. No. 8 is a factor of 16,but not a factor of 264. Yes. 8 is the greatest common factor of 16 and 36
Answers
We are ask to choose a staement that explain why and why not, in other words, we are to choose the correct statements
The correct statements are;
No. 8 is a factor of 16 but ot 36
A candle is 30 in. long. After burning for 12 min, the can- dle is 25 in. long. If it continues to burn at the same rate, how long will it take for the whole candle to burn?
Answers
72 min will take to burn 30 in. candle.
Divide the result by the number of burned hours after deducting the weight after the burn from the initial weight.
How to calculate time to burn candle ?On a scale, weigh the finished, unburned candle. Subtract the weight of the container if the candle is one with a container. This is the candle's original weight.
The candle should be lit and let to burn for four hours. Blow out the candle and let it cool completely after four hours. Remember to deduct the container's weight when weighing the candle once more. The weight after the burn is this.
We advise choosing grammes as your unit of measurement if your scale has a gramme measurement option. If you like, you can measure using ounces. You get numbers that are simpler to work with because grammes are a smaller unit of measurement.
Total length of candle = 30 in.
Time taken to 5 in. of candle burn = 12 min
Time take to burn 1 in = 12/ 5 = 2.4 min
How long will it take for the whole candle to burn = 2.4 * 30 = 72 min
72 min will take to burn 30 in. candle
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An ice cream cone has a radius of 10 cm and a slant height of 12 cm what it is the surface area
Answers
Surface Area of a Right Circular Cone
Given a cone of radius R and slant height L, the surface area is calculated as follows:
[tex]A=\pi R(R+L)[/tex]We are given the following data:
R = 10 cm
L = 12 cm
Computing the surface area:
[tex]A=\pi *10\text{ cm}(10\text{ cm}+12\text{ cm})[/tex]Operating:
[tex]\begin{gathered} A=\pi *10\text{ cm}(22\text{ cm}) \\ A=220\pi\text{ }cm^2 \end{gathered}[/tex]This is the exact value. The approximate value can be obtained by substituting pi = 3.14:
A ≈ 690.8 square cm
Linus what to buy ribbon to make three bookmarks. One bookmark will be 14,5 inches long and the other two will be 9,25 inches long. How much ribbon should he buy in centimeters ( assume 1 inche=0,0254 meters)
Answers
Given:
ribbon's long as 14.5 inches one and 9.25 inches two ribbons.
Total ribbon needed = 14.5+2(9.25)
[tex]\text{Total ribbon needed}=14.5+18.5[/tex][tex]\text{Total ribbon needed}=33\text{ inches}[/tex][tex]\text{Total ribbon needed}=33\times0.0254\times100\text{ cm}[/tex][tex]\text{Total ribbon needed}=83.82\text{ cm}[/tex]Therefore, He should but 83.82 cm long ribbon.
Please help! Using the bar chart, what percent of the world population lives in Asia?
Answers
Answer:
58.25%
Step-by-step explanation:
add all the numbers
3340/all the numbers=your final answer
Add all the numbers
Which function has the domain x greater-than-or-equal-to negative 11?
y = StartRoot x + 11 EndRoot + 5
y = StartRoot x minus 11 EndRoot + 5
y = StartRoot x + 5 EndRoot minus 11
y = StartRoot x + 5 EndRoot + 11
Answers
The function y= √(x+11) + 5 has Domain x≥-11 .
The Domain of the function is defined as the set of all possible values , that can be input in the function .
In the question;
it is given that
Option(a)
the function is ,
y = √(x + 11) + 5
the square root is defined only for x≥0,
So, we have x+11≥0
subtracting 11 from both the side , we get
x ≥ -11
hence Domain is x≥-11 .
Option(b)
the function is ,
y = √(x - 11) + 5
we have x-11≥0
Adding 11 to both the side , we get
x ≥ 11
hence Domain is x ≥ 11 .
Option(c)
the function is ,
y = √(x + 5) - 11
we have x+5≥0
subtracting 5 from both the side , we get
x ≥ -15
hence Domain is x ≥ -5 .
Option(d)
the function is ,
y = √(x + 5) + 11
we have x+5≥0
subtracting 5 from both the side , we get
x ≥ -15
hence Domain is x ≥ -5 .
From above we can see that only option(a) has Domain as x ≥ -11.
Therefore , the function y= √(x+11) + 5 has Domain x≥-11 , option(a) is correct .
The given question is incomplete , the complete question is
Which function has the domain x ≥ -11?
(a) y = √(x + 11) + 5
(b) y = √(x - 11) + 5
(c) y = √(x + 5) - 11
(d) y = √(x + 5) + 11
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Answer:
is a
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What is the surface area of this design? 5 in. 5 in. 560 in2 8 in. 490 in2 600 in 2 in. 440 in2 10 in. in
Answers
To find the surface area of the desing you need to find the are for all of the faces of the figure.
at the bottom we have a rectangular prism of sides 10, 10 and 2
sind the top, bottom and sides os this prism
[tex]\begin{gathered} \text{top and bottom} \\ 2\cdot10in\cdot10in=200in^2 \\ \text{sides } \\ 4\cdot10in\cdot2in^2=80in^2 \end{gathered}[/tex]total surface area at the bottom prism
[tex]200+80=280in^2[/tex]for the prism at the top we just add the area from the sides because the top was already considered at the top of the previous prism
[tex]\begin{gathered} \text{sides} \\ 4\cdot8in\cdot5in=160in^2 \end{gathered}[/tex]total surface are of the design is
[tex]280+160=440in^2[/tex]A state lottery randomly chooses 4 balls numbered 1 though 43 without replacement. You choose 4 numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If so, identify a success, specify the values of n, p, and q and list the possible values of random variable x.
Answers
This is the hypergeometric not the binomial.
Difference between Binomial and Hypergeometric.Based on separate trials, a binomial random variable frequently models sampling with replacement. Based on non-independent trials, hypergeometric random variables frequently simulate sampling without replacement.
The hypergeometric distribution: When should we utilize it? It is employed when attempting to estimate the likelihood of attaining a specified number of successes from a particular sample size without replacement.
The number of times an event happens in a fixed number of trials is described by both the binomial distribution and the hypergeometric distribution.
Hence, we can say that this is the hypergeometric not the binomial.
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