The reflections are described below.
We know that,
There are two types of reflection:
Reflection with respect to X-axis:
The x-coordinates of a point stay constant when it is mirrored across the X-axis. However, the Y-coordinates are changed into their inverse signs.
As a result, the X-axis reflection of the point (x, y) is (x, -y).
Reflection with respect to Y- axis:
The Y-coordinates of a point stay constant when it is mirrored across the Y-axis. However, the X-coordinates are changed into their inverse signs.
As a result, the Y-axis reflection of the point (x, y) is (-x, y).
Now the reflection is as following:
The point (x, y) when reflected across the x-axis becomes (x', y') = (x, -y)
The point (x, y) when reflected across the y-axis becomes (x', y') = (-x, y)
The point (x, y) when reflected across the line y = x becomes (x', y') = (y, x)
The point (x, y) when reflected across the line y = -x becomes (x', y') = (-y, x)
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-2n divided by 3 + (4n - n), when n = 6
Step-by-step explanation:
Divisor = -2n = -2 * 6 = - 12
Dividend = 3 + ( 4 * 6 - 6) = 3 + 18 = 21
Now
21 / -12
dividing numerator and denominator by 3
= - 7 / 4
Step-by-step explanation:
= -2n
= -2×6
= -12
again,
=3+(4n-n)
= 3+4×6-6
=3+24-6
=21
now,
= -12
21
hope it helps.
t on rn . 14. let t be a one-to-one linear transformation from a vector space v into rn . show that for u, v in v , the formula hu; vi d t .u/t .v/ defines an inner
The formula hu; vi d t .u/t .v/ defines an inner product on v because it is linear equation in u and v, symmetric, and positive definite.
The formula hu; vi d t .u/t .v/ defines an inner product on v because satisfies all of the requirements of an inner product. Specifically, it is linear in both u and v, meaning that ah; vi bh; vi for any scalar a and any two vectors u, v. This means that it is distributive over addition, so hu b c; v i d hu b; v i C hc; v i. It is also symmetric, so hu; v i d hv; ui, which is necessary for hu; ui to be considered a valid inner product. Finally, it is positive definite, meaning that hu; ui d k uk2 0 for all vectors u 6 d 0. This means that for any two vectors u, v, the inner product of hu; vi d t .u/t .v/ is a valid inner product on the vector space v.
Proof: Let u, v ∈ V .
1.hau b; v i d t .au b/t .v/ d at t .u/t .v/ bt t .v/ d ah; vi bh; vi
2. hu; vi d t .u/t .v/ is linear in v :
h u; av b i d t .u/t .av b/ d at t .u/t .v/ bt t .u/t .v/ d ah; vi bh; vi
3. hu; vi d t .u/t .v/ is symmetric:
h u; v i d t .u/t .v/ d t .v/t .u/ d hv; ui
4. hu; vi d t .u/t .v/ is positive definite:
h u; u i d t .u/t .u/ d k t .u/ k2 d k uk2 0 for all u 6 d
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t on rn . 14. let t be a one-to-one linear transformation from a vector space v into rn . show that for u, v in v , the formula hu; vi d t .u/t .v/ defines an inner product on v .
Please help me ASAP
Proving triangles similar practice
Only the triangles from case 11 are similar by SAS (Side-Angle-Side) theorem
How to analyze systems of similar triangles
Two triangles are similar when their angles are congruent and sides are not congruent though proportional. In this cases we need to determine whether any of three cases are proportional:
Case 10
19 / 38 = 18 / 40
19 / 38 = 9 / 20
Not similar
Case 11
14 / 24 = 70 / 120
7 / 12 = 35 / 60
7 / 12 = 7 / 12
Similar (SAS theorem)
Case 12
24 / 36 = 28 / 40 = 30 / 42
12 / 18 = 14 / 20 = 15 / 21
6 / 9 = 7 / 10 = 5 / 7
2 / 3 = 7 / 10 = 5 / 7
Not similar
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Given that a = 2.4 cm, and b = 9.6 cm, work out x
Answer:
where am i supposed to find the x if you haven't given the equation for the sum
Step-by-step explanation:
what is 4/9 times what equals 12
Step-by-step explanation:
4/9A = 12
A = 12×9/4
= 27
......
Find the measure of line segment DE
\(DE=\sqrt{13^{2}+12^{2}-2(13)(12)(\cos 59^{\circ})} \approx \boxed{12.3}\)
In grade 10, the ratio of boys to girls is 2: 3. There are 75 girls. How many are boys?
HELP PLEASE .. I WILL GIVE A BRAINLIEST !
Answer:
150
Step-by-step explanation:
The ration is 2/3 in this example means they are twice as many boys than girls. If boys = 2/3, than girls = 1/3.
So, to find the answer, you must multiply 75 by 2, which is 150.
You don't need this, but they are 75 + 150 = 225 boys and grils in grade 10.
PLEASE HELP ALGEBRA 2 WORK
The domain of a function is all the possible input values for which the function is defined.
What is function?Function is a block of code that performs a specific task. It is a reusable piece of code that can be called from other parts of the code, reducing the amount of code that needs to be written and making the code easier to read and maintain. Functions can take in parameters and return values, allowing for increased flexibility and reusability. Functions can also be used to break up large programs into smaller, more manageable pieces.
In this case, the reasonable domain for the function f(x) = 4x³-50x²+150x would be all real numbers. This is because the function is a polynomial, which is continuous, meaning that it is defined for all real numbers.
The input of the function is a width, and the output is a volume. Therefore, the domain of the function should include all reasonable widths that could produce a volume. This means that the domain should include all positive real numbers, as any negative value would produce a negative volume, which is not reasonable. Thus, the reasonable domain for the function f(x) = 4x³-50x²+150x is all positive real numbers.
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I not understand this any help please answer and explain please
The length the line segment DF is 21 units
What is Similarity of Triangles?
Two objects are comparable in Euclidean geometry if they have the same form or one has the same shape as the mirror image of the other. More exactly, one can be created by evenly scaling the other, potentially with extra translation, rotation, and reflection.
Since, the question is incomplete I can only assume that the traingles are similar
So, by rule of similarity we can say that ED/BA = DF/AC
by this 15/5 = DF/7
This implies that the length of DF is 21 units
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A walk alongside a railway track is represented on a map by an 86 mm straight line.
The walk is 17.2 km.
What is the scale of the map?
First we turn the 17.2 km into mm. To do that we turn it into 17,200 m then into 1,720,000 cm then into 17,200,000 mm. Then we just divide 17.2 million by 86 so 17,200,000÷86=200,000. so we know that the scale of the map is 1:200,000. Also pls mark as brainliest answer thx.
PLEASE HELP EASY!!!!!!
Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.
What salary will workers have in each salary?Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.
On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.
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Write a detailed savings plan for Sookie to meet her goal ?
Please answer, will give 5 star.
Answer:
The first one
Step-by-step explanation:
She cant buy anything over $15, but she can buy something thats $15 :))
A circle has a diameter of 30mm . What is its circumference? Use 3.14 for π , and do not round your answer. Be sure to include the correct unit in your answer
Answer:
94.2 mm
Step-by-step explanation:
You want the circumference of a circle that has a diameter of 30 mm.
CircumferenceThe circumference is given by the formula ...
C = πd . . . . . where d is the diameter
ApplicationYour circle has a circumference of ...
C = (3.14)(30 mm) = 94.2 mm
The circumference is 94.2 millimeters.
HELLPPP PLEASE
a(b - 1)2 when a = 8 and b=4
Answer:
72
Step-by-step explanation:
Don't worry my friend, we have the power of order of operations!!
Okay, so first start by replacing the variables with the given numbers.
a(b - 1)^2 = 8(4 - 1)^2
Now do whats in the parentheses.
(4 - 1) = (3)
Next, we do 3 x 3 . This is because the three is squared.
(3)^2 = 9
Finally, multiply by 8.
8 (9) = 72
Hope this helped! Please comment wether it does or not. :)
what is the domain, range and function of this, please help
x y
1 8
2 7
1 6
2 5
A market sells 5 2/3 pounds of blueberries in the morning. In the afternoon, the market sells 11/12 pound less blueberries. How many pounds of blueberries are sold in the morning and afternoon altogether?
The pounds of blueberries that are sold in the morning and afternoon altogether will be 10 5/12 pounds.
Fractions sold in the morning = 5 2/3Fractions sold in the afternoon = 5 2/3 - 11/12 = 4 3/4Therefore, the pounds of blueberries that are sold in the morning and afternoon altogether will be:
= 5 2/3 + 4 3/4
= 9 17/12
= 10 5/12
In conclusion, 10 5/12 pounds will be sold.
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A Ferris wheel is 400 feet in diameter. How far will a person riding on the Ferris wheel have traveled (in miles) when the wheel makes 59 revolutions? (1 mi = 5280 ft)
a) about 14.04 mi
b) about 28.08 mi
c) about 0.48 mi
d) about 4.47 mi
Answer:
d) about 4.47 miles
Step-by-step explanation:
Multiply 400 by 59 to get 23,600
Convert 23,600 feet to miles (divide by 52820)
The person will travel about 14.04 miles when the wheel makes 59 revolutions.
What is a circle?'A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.'
According to the given problem,
Diameter of the wheel = 400 feet
Radius of the wheel = ( 400/2 ) feet
= 200 feet.
Circumference of the wheel = 2πr
= 2 × π × 200
= 400π
Total distance in 59 revolutions = ( 400π × 59 ) feet
= 74141.58 feet
Total distance in miles = \(\frac{74141.58}{5280}\) miles
= 14.04196 miles
≈ 14.04 miles
Hence, we can conclude, the person will travel 14.04 miles when the wheel makes 59 revolutions.
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One pair of parallel sides proves a quadrilateral to be a parallelogram
True
False
(2 + 8) : 5 + 3 x 4 – (1 + 5) : 2 =
The simplified form of the expression (2 + 8) : 5 + 3 x 4 – (1 + 5) in the ratio is 10 : 11.
What is a simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.
Simplification usually involves making the expression simple and easy to use later.
The given expression is
(2 + 8) : 5 + 3 x 4 – (1 + 5) : 2 =
10 : 5 + 12 - 6
10 : 11
The simplified form of the expression in the ratio is 10 : 11.
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A summer job pays $5 per hour.
a. you work 12 hours. How much do you make?
b. after working 24 hours do you have enough money to buy an mp3 player that costs $100?
Answer:
A. 60, B. 120.
The diagram shows EFG. Which term describes point H?
A. Circumcenter
B. Incenter
C. Orthocenter
D. Centroid
Point H is the ortho-center of our given triangle and option c is the correct choice.
We have been given an image of a triangle. We are asked to find the term that describes point H.
We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.
We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.
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19.A bag contains 8 blue coins and 6 red
coins. A coin is removed at random and replaced by three of the other color.
What is the probability that the removed coin is blue?
8+3=11 6-1=5 11+5=16 5/16
A) 4/7
B) 9/16
C) 4/9
Sketch and label a net of the right triangular prism. Each square on the grid represents
1 square centimeter. Calculate the surface area of the prism by using its net.
The total surface area of the prism is determined as 216 cm².
What is the surface area of the prism?The surface area of the prism is calculated by applying the following formula.
The area of the two triangular faces is calculated as follows;
Area of the two triangles = 2 (¹/₂ x base x height )
Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )
Area of the two triangles = 24 cm²
The area of rectangular faces is calculated as follows;
A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )
A = 192 cm²
The total surface area of the prism is calculated as follows;
Area = 24 cm² + 192 cm²
Area = 216 cm²
The sketch of the triangular prism is in the image attached.
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3.1 Which basic property of operations was used in each of the following
calculations?
3.1.1 25 x 4 = 4 x 25 = 100
3.1.2 412 412 412 + (-412) = 0
3.1.3 25 +37
-
=
= 20 + 5+ 30+7
= 20 +30 +5+7
= 50+ 12 = 62
3.1.1 The basic property of operations used is the commutative property of multiplication.
3.1.2 The basic property of operations used is the additive inverse property.
3.1.3 The basic property of operations used is the associative property of addition.
3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.
3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.
3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.
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(5+3)+2=5+(3+2) what is the property?
Answer:
associative property
Step-by-step explanation:
choose 2 equivalent expressions
A. 11r - 12r
B. -r
C. 23r
D. -23r
Answer:
C. and D.
Step-by-step explanation:
Calculate the area of a circle with a radius of 9 inches.
Answer:
254.47
Step-by-step explanation:
The formula for area of a circle:
area = \(\pi r^{2}\)
where r is the radius.
area = \(\pi 9^{2}\)
area = 81\(\pi\)
area = 254.469004941
Your professor/teacher didn't specify what to round to - - -
So if you round this to the hundredths place, it would be 254.47.
Create both a tree diagram AND sample space of all possible boy/girl births in a family of three kids.
1. How many outcomes are there?
2. What is the probability of all three kids being boys?
3. What is the chance of only the middle kid being a girl?
4. What is the probability of there being at least two boys?
5. What is the chance of there being at most one girl?
Answer: Sample space: {BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG}
1. 8 outcomes in total
2. 1/8 or 0.125
3. 1/2 or 0.5
4. 1/2 or 0.5
5. 3/8 or 0.375
Step-by-step explanation:
1. As shown by the sample space and the tree diagram, there are 8 total possibilities.
2. There is only a 1/8 or 0.125 chance of there being all boys, which is BBB
3. There are 4 outcomes that allow the middle child to be a girl, and 4/8 = 1/2. There will only be a girl middle child with BGB, GGG, BGG, and GGB.
4. We can think of at least as meaning no less than two boys, which includes two to three boys. The only outcomes that have either two or three boys is BBB, BBG, BGB, GBB. 4/8 = 1/2.
5. We can think of at most as meaning no more than one girl. The only outcomes that have only one girl are BBG, BGB, and GBB, which is 3/8.
The function f(x) is shown on the graph.
What is f(0)?
0 only
-6 only
–2, –1, 1, and 3 only
–6, -2,-1, 1 and 3 only
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.
The correct answer is D.
The function f(x) has some specific characteristics as shown in the graph.
The graph of f(x) has five intercepts, as can be seen from the graph.
The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.
The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.
At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.
The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.
Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).
This can be deduced from the symmetry of the graph about the origin.
Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.
At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.
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