Draw the figure and its rotation as described. Identify the coordinates of the image. J(−4, 1), K(−2, 1), L(−4,−3) 90° clockwise about vertex L.
Answers
The new coordinates of the image after rotation are L′(−4,1), J′(0,−3), and K′ (0,−5).
Step 1:
The first thing we have to do is to graph the figure. We will color it red. The graph is shown below:
Step 2:
We know that the distance between L and J is 4 units upward. If we rotate it 90° clockwise, the direction will become right. Therefore,
J′ is 4 units to the right of L. We can see that the distance between
J and K is 2 units to the right. If we rotate it 90° clockwise, the direction will become downwards. Therefore, K′ is 2 units down of L′.
Then, connect L and K′ to complete the figure. The new coordinates are L′(−4,1), J′(0,−3), and K′ (0,−5). We will graph it and color it blue.
Hence the answer is the new coordinates of the image after rotation are L′(−4,1), J′(0,−3), and K′ (0,−5).
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Related Questions
Mia has 50$ on a gift card to her favorite coffee shop. Each time she visits the coffee shop sh spends $3.75 on her favorite drink. Write an equation to represent the relationship between n, the number of times she visits the coffee shop, and b, the total balance on her gift card.
Answers
Answer:
50.00-3.75n = b
Step-by-step explanation:
50.00 is the beginning balance she has on the gift card.
If she spends 3.75 every visit, and n represents the number of visits, then 3.75n will tell you how much she has spent with each visit.
1 visit: 50.00 - 3.75(1) = 46.25
2 visits: 50.00 - 3.75(2) = 42.50
3 visits: 50.00 - 3.75(3) = 38.75
Peter has $ 40 to spend on rides at the state fair. Each ride costs $3. Find the recursiveand the explicit function.Recursive Function:Explicit Function:
Answers
Recursive function: f(n) = f(n-1) + 3
Explicit function: f(n) = 3n
Explanations:Amount of money Peter has to spend = $40
Cost of each ride = $3
Let the number of rides be represented as n
The recursive function is a function in which each term always depends on the preceding terms. In this case, Peter pays $3 after every ride. This means that he adds 3 to every preceding amount that he spends on the rides.
The recursive function is therefore:
f(n) = f(n-1) + 3
The explicit function: This function is always expressed in a clear form (i.e. explicitly)
3 x number of rides = Amount spent
The explicit function is therefore:
f(n) = 3n
. Julia is buying vegetables at a
farmer's market. One of the stands is
selling zucchini for $1.25 per pound.
The total weight of the zucchini she
has selected is 3.8 pounds. How
much will she pay for
Answers
Answer:
$4.75
Step-by-step explanation:
We can use a simple multiplication statement to solve this problem.
3.8 × 1.25 = 4.75
Find the values of x and y to make the following numbers equal
Answers
If all numbers has to be equal, that means:
[tex]\begin{gathered} \frac{-2}{x}=-0.2 \\ \frac{y}{5}=-0.2 \end{gathered}[/tex]Let's solve the value of x and y that makes the equation above equal. Let's start with x.
[tex]\begin{gathered} \frac{-2}{x}=-0.2 \\ \text{Cross multiply.} \\ -2=-0.2x \\ \text{Divide -0.2 on both sides.} \\ \frac{-2}{-0.2}=\frac{-0.2x}{-0.2} \\ 10=x \end{gathered}[/tex]The value of x is 10.
Let's solve for y.
[tex]\begin{gathered} \frac{y}{5}=-0.2 \\ \text{Cross multiply.} \\ y=-1 \end{gathered}[/tex]The value of y is -1.
The length of the base of an isosceles triangle is x. The length of a leg is 2x-3. The perimeter of the triangle is 19. Find x
Answers
Step-by-step explanation:
isoceles means that the triangle has 2 equally long legs.
the perimeter is the sum of all sides.
so,
19 = x + (2x - 3)×2 = x + 4x - 6 = 5x - 6
25 = 5x
x = 5
6 Given: TY XY, ZTVY = ZXWY Prove: ATVY = AXWY Statements Reasons 1. TY ~ XY 1. Given 2. Given 2. LTVY & LXWY 3. 3. 4. 4. 5. 5. OTVY Z OXWY Gina wison All Things Aige
Answers
Statement 3:
[tex]TV\cong XW[/tex]Reason: Law of cosines
Statement 4:
[tex]VY\cong WY[/tex]Reason: Law of cosines
Proof
We have the following situation:
Because the law of cosines,
[tex]\begin{gathered} a^2=c^2+d^2-2cd\cos (b) \\ a^2=e^2+f^2-2ef\cos (b) \end{gathered}[/tex]Therefore,
[tex]c^2+d^2-2cd\cos (b)=e^2+f^2-2ef\cos (b)[/tex]The triangles in the figure below are similar.
image b125a080d0e9444e9eebf9b6644403df
Which proportion is correct?
A.
x20=96
x
20
=
9
6
B.
x20=915
x
20
=
9
15
C.
2015=x6
20
15
=
x
6
D.
x20−x=156
x
20
−
x
=
15
6
Answers
The proportion that is correct to find the value of x in the similar triangles is: B. x/20 = 9/15.
What are Similar Triangles?For any two triangles that are similar to each other, their corresponding sides will have lengths that are proportional to each other, which means they have the same ratio.
The triangles as shown in the image attached below are said to be similar to each other, this means they have side lengths that are proportional to each other or their corresponding sides will have proportional lengths.
Therefore, we will have the following proportion if we intend to find the value of x in the image given:
x corresponds to 20 while 9 corresponds to the side that measures (9 + 6) 15.
Therefore, the correct proportion is:
x/20 = 9/15.
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Find the equation of the line that passes through (−3,4) and is perpendicular to the line passing through (−5,1/3) and (−3,2/5). Write the equation in slope-intercept form.
Answers
Answer:
Step-by-step explanation: 76=54
4.* 4. Students were asked how many hours a weeknight they spend on homework and exercise. The dot plots display the results. Which statement is not supported? Homework Exercise LG 2 3 4 5 Number of Hours 1 2 3 4 5 Number of Hours A. More time is spent on homework than exercise. B. The mode activity times are equal. C. The median exercise time is not equal to the median homework time. D. The range of homework hours is greater for homework than for exercise ОА
Answers
Analyze each statement to see if it is supported by the dot plots or not.
A) More time is spent on homework than exercise.
Find the total time spent on each activity to compare
PLEASE HELP I GOT LIKE 15 MINUTES LEFT
One small circle is completely inside a larger circle. Both circles share the same center point. Calculate the area of the shaded region.
Answers
Answer:
133π square centimeters
Step-by-step explanation:
Area of larger circle:
[tex]\pi( {13}^{2} ) = 169\pi[/tex]
Area of smaller circle;
[tex] \pi( {6}^{2} ) = 36\pi[/tex]
Area of shaded region:
[tex]169\pi - 36\pi = 133\pi[/tex]
hello I seem to be having issues on this problem
Answers
Okay, here we have this:
Considering the provided data set, we are going to create the corresponding histogram, so we obtain the following:
The above histogram corresponds to the one requested in the exercise.
7. Write the equation of the parabola. Pay close attention to the scale on both axes.
Answers
We can start with the equation of the parabola in vertex form, as we know the coordinates of the vector:
[tex]y=a(x-h)^2+k[/tex]The vertex is (h,k) = (-5,2), so we get:
[tex]y=a(x-(-5))^2+2=a(x+5)^2+2[/tex]We can use another known point, as (-6,4) to calculate the parameter a:
[tex]\begin{gathered} y=a(x+5)^2+2 \\ 4=a(-6+5)^2+2 \\ 4=a\cdot(-1)^2+2 \\ 4=a+2 \\ a=4-2 \\ a=2 \end{gathered}[/tex]Now that we have no more unknown parameters, we can expland the equation to the standard form:
[tex]\begin{gathered} y=2(x+5)^2+2=2(x^2+10x+25)+2=2x^2+20x+50+2 \\ y=2x^2+20x+52 \end{gathered}[/tex]The equation is y=2x^2+20x+52.
Given: TU II XW
Prove: XW=8
Statements Reasons
TWIIXW Given
UTV=XYV alternate angles theorem
TVU= vertical angles theorem
TVU~WVX AA
? ?
XW\14=4/7substitution property of equality
7(XW)=56 cross product
XW=8 division property of equality
Which step is missing?
A.
Statement: WX/UT=UZ/VW Reason: Corresponding sides of similar triangles are proportional.
B.
Statement :XW/UT=VW/XV Reason: Corresponding sides of similar triangles are proportional.
C.
Statement: XW/UT=VW/XV Reason: Corresponding sides of similar triangles are proportional.
D.
Statement: XW/UT=UV/XV Reason: Corresponding sides of similar triangles are proportional.
Answers
The missing step is XW/UT=VW/XV because corresponding side of similar triangle are proportional.
What is similar triangle?
Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other. Similar triangles look the same but the sizes can be different.
When two triangles are similar, then their corresponding angles would be congruent while their opposite sides will be proportional to each other
In the proof, it is given, Both triangle are similar, by AA similarity theorem, hence, XW/UT=VW/XV because corresponding side of similar triangle are proportional.
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Mrs. Cyan paid $105 for flower boxes. Each
flower box cost $7. How many flower boxes
did she buy?
Answers
In California, we need more rain to sustain the health of our natural environment, argriculture, andeconomic. A group of statistics students in Oxnard College recorded the amount of rain during2016-2017 school year, measuring the intensity by the inches of rain, and the results were:Inches of Rain123456Frequency332334The mean rain intensity, , isinches.Please show your answer to 1 decimal place.The median rain intensity isinches.The rain intensity mode isinches.Please separate your answers by','in bimodal situation. Enter DNE if there is no mode.CalculatorScratchwork Area
Answers
Given data:
1. The mean rain intensity
[tex]\bar{x}=\frac{\sum fx}{\sum f}=\frac{66}{18}=3.7\text{ inches}[/tex]2. The median rain intensity,
[tex]\begin{gathered} \text{Median = (}\frac{\text{N+1}}{2})th \\ =(\frac{18+1}{2})th=(\frac{19}{2})th=9.5th\text{ term} \\ \text{The 9.5th term from the frequency table is }4 \\ \text{The median is 4} \end{gathered}[/tex]3. The rain intensity mode (intensity with the highest frequency)
[tex]6[/tex]Therefore,
The mean : 3.7
The median : 4
The mode: 6
true or false: the student t distribution may be used to construct a confidence interval for the mean of any population, so long as the sample size is small.
Answers
False. The student t distribution may be used to construct a confidence interval for the mean of a population that is normally distributed, so long as the sample size is small.
The student t distribution may be used to construct a confidence interval for the mean of any population, so long as the sample size is small. The student t distribution is a probability distribution that is used to estimate the population mean when the sample size is small and the population standard deviation is unknown. The student t distribution is also used to construct confidence intervals for the population mean.
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Draw a tree diagram to solve the following question.A bag contains 5 red and 3 blue marbles. Two marbles are drawn simultaneously from thebag. Determine the probability that at least one is red.
Answers
Step 1. There are 5 red marbles and 3 blue marbles, 8 marbles in total:
Step 2. Two marbles are drawn simultaneously, which means that there is no replacing of the marbles.
To make the tree diagram with the probabilities for each marble, remember the probability formula:
[tex]P=\frac{\text{Number of favourable outcomes}}{total\text{ numer of outcomes}}[/tex]The three will look as follows:
For the first marble, the probability of getting a red one is 5/8 because there are 5 red marbles out of a total of 8, and similar to the first one is blue.
For the second marble, we consider that the total number of marbles is now 7.
Step 3. To find the probability of each combination, we multiply the values of each branch:
The results of the multiplications is:
The ones that have at least one red marble are the first three branches: red-red, red-blue, and blue-red.
To find the probability of at least one red marble, we add the results of the first three branches:
[tex]\frac{20}{56}+\frac{15}{56}+\frac{15}{56}[/tex]The result is:
[tex]\frac{20}{56}+\frac{15}{56}+\frac{15}{56}=\frac{50}{56}[/tex]The probability is 50/56.
The fraction can be simplified to:
[tex]\frac{50}{56}=\frac{25}{28}[/tex]The probability simplified is 25/28.
Answer:
[tex]\frac{25}{28}[/tex]Write the coordinate point for the vertex of this parabola: 1,2 x=
Answers
Given:
[tex]x=-\frac{1}{8}y^2[/tex]Vertex of the parabola is (0,0).
Which statement is true regarding the graphed functions? 8 6 4 -6-5-4-3-2 436 - -6 1979 - 2 -127 (0) = g(0) 1-2) = g(-2) f(0) = g(-2)
Answers
Let's check the choices one by one.
From the figure,
Choice A :
f(0)=g(0)
f(0) = -2
g(0) = -2
So f(0) = g(0) is true!
Choice B :
f(-2) = g(-2)
f(-2) = 4
g(-2) = -4
So f(-2) = g(-2) is false!
Choice C:
f(0) = g(-2)
f(0) = -2
g(-2) = -4
So f(0) = g(-2) is false!
The correct answer is Choice A. f(0) = g(0)
Hello I need help on this.Question: Calculate the volume of this shape. Leave your answer in terms of Pi.
Answers
Hello there. To solve this question, we'll have to remember how to calculate the volume of a cylinder, given its height and diameter of the base.
Given the following cylinder:
Its volume can be calculated by the formula:
[tex]V=A_b\cdot h[/tex]in which:
[tex]A_b=\pi\cdot\frac{D^2}{4}[/tex]Is the area of the base given the diameter D
Plugging in this, we have:
[tex]V=\pi\cdot\frac{D^2}{4}\cdot h[/tex]Using the values given by the question, we have:
D = 14 cm
h = 7 cm
Therefore
[tex]V=\pi\cdot\frac{14^2}{4}\cdot7[/tex]Calculate the square and simplify the fraction
[tex]\begin{gathered} V=\pi\cdot\frac{196}{4}\cdot7 \\ V=\pi\cdot49\cdot7 \end{gathered}[/tex]Multiply the numbers
[tex]V=343\pi cm^2[/tex]The activity preference of teachers and librarians is given in the table.
Teachers Librarians
Movies 3 12
Books 4 9
Plays 2 15
Based on the information in the table, which of the following is an example of independent events.
P(librarian and chooses book)
P(librarian and chooses movie)
P(teacher and chooses play)
P(teacher and chooses book)
Answers
The activity preference of teachers and librarians is given in the table. P(teacher and chooses play) is an example of an independent event.
What is an independent event?An independent event is an activity whose occurrence does not depend on other events.For example, if a coin is tossed and the result is heads, tossing the coin again will result in tails. In both cases, the occurrence of both events are independent of each other. This is one type of activity in probability. Learn here the full definition of independent events and how they differ from Venn diagrams, examples, and mutually exclusive activity .In probability theory, the set of outcomes of an experiment is called an event. There are different types of events, including independent events, dependent events, and mutually exclusive events.A and B are said to be independent events if the probability of an event A occurring is unaffected by the occurrence of another activity B.To learn more about independent event from the given link :
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There are 15 cousins playing a game. They need to divide evenly into teams. Draw a model to show one way they can split into teams. Then decide if 15 is a prime number or a composite number. Show your work. Answer 15 is a number.
Answers
Answer:
15 is a composite number
Explanation:
We can form 3 groups of 5 people because:
15 = 3 x 5
So, the model that shows this way to split the teams is:
If we can divide 15 into teams, we can say that 15 is a composite number.
A prime number is a number that is only divisible by 1 and by itself. Since 15 is divisible by 3 because we form 3 teams, we get that 15 is not prime, so it is composite.
what is the best approximation of √39 to the nearest tenths ?
Answers
Answer:
6.24
Step-by-step explanation:
3) Given the points (6-11) and (-2,9), find the following: a) find the slope between these points, b) find the equation of the line between these points, b) find the y-intercept of this line, c) graph this line.
Answers
Points (6,-11) and (-2,9)
then
a) Slope m= Y/X = (9 --11)/ (-2-6) = 20/-8= -5/2
b) equation of line y = mx + b
find b= y - mx = 9 -(-5/2)•(-2) = 9 - 5= 4
then equation is
y= (-5/2)x + 4
c) y-intercept of this line is
x= 0 , y= 4
d) graph of this line
Find the value of √√441 + √16 + √4
Answers
Answer:
Your answer would be 10.582575695, the rounded answer would be 10.60.
Step-by-step explanation:
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
PLEASE ANSWER I NEED THIS FOR A UNIT TEST AND I DON'T WANT TO FAIL
Answers
we will have to follow given below steps if we want to plot this inequality x is less than or equal to 2.6.
What is linear inequality and examples?A linear inequality is formed by any two real numbers or any two algebraic expressions marked by the symbols "," ">," "," or "." Ones of numerical inequality include 911 and 18>17, while algebraic examples include x+7>y, y10-x, and x y > 11
How do you identify a linear inequality?One of the inequality symbols is present in a linear inequality:. It displays non-equal data in graph style. With the inequality sign in place of the equality sign, a linear inequality appears exactly like a linear equation.
The values of x that satisfy the inequality must be determined before we may graph the inequality x = 2.6 on a number line. This can be done by changing x to a variety of values and observing which ones cause the inequality to hold true. When x is less than or equal to 2.6, we know that the inequality x = 2.6 is true. This means that the inequality will be satisfied for any value of x that is lower than or equal to 2.6. This has a range of inclusive values from -infinity to 2.6. We can use a dotted line spanning from negative infinity to 2.6 to graph the inequality on a number line. We would insert a dot for each number between negative infinity and 2.6, including 2.6 itself, since the dots on the line denote the numbers in the range. The dots on the line represent the integers in the range, which spans from negative infinity to 2.6. (i.e., all numbers less than or equal to 2.6). The open circle at 3 shows that the number is outside of the range, while the solid point at 2.6 indicates that the number is within the range.
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A sign company is building a sign with the dimensions shown.
What is the area of the sign?
Answers
Answer:272 square feet
Step-by-step explanation:
-4(x-1) I forgot how to simplify it
Answers
Answer:
Step-by-step explanation:
-4(x-1)
distribute the -4
-4x + 4
what is this answer
6p>48
Answers
Answer: p is greater than or equal to 8
Step-by-step explanation:
To isolate the variable (p) you divide both sides of the equation by 6 to get p by itself and the answer comes out clean because 48 is a multiple of 6.
Answer:
Divide both sides by the same factor
6p > 48
6p > 48
--- ---
6 > 6
result
p > 8
Find the solution to the equation by substitution
13x-5y=-8
y=3x
Answers
Answer:
x=4
y=12
Step-by-step explanation:
replace y in the first equation since we already know what y is equal to
13x-5y=-8
13x-5(3x)=-8
13x-15x=-8
-2x=-8
/-2. /-2
x=4
Now fill in X to find y
y=3(4)
y=12
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