The image vertices of KLMN under a 90° clockwise rotation are: K'(0, 0), L'(2, -5), M'(-5, -5), N'(-3, 0) which is option B.
How did we arrive at this assertion?To rotate a point (x, y) 90° clockwise, use the following formula:
(x', y') = (y, -x)
where (x', y') are the coordinates of the rotated point.
Using this formula, the image vertices of KLMN is deduced as follows:
- Vertex K(0, 0): (0, 0) is its own image under any rotation.
- Vertex L(5, 2): To rotate 90° clockwise, we have (x', y') = (2, -5).
Therefore, the image of L is L'(2, -5).
- Vertex M(5, -5): To rotate 90° clockwise, we have (x', y') = (-5, -5).
Therefore, the image of M is M'(-5, -5).
- Vertex N(0, -3): To rotate 90° clockwise, we have (x', y') = (-3, 0).
Therefore, the image of N is N'(-3, 0).
Thus, the image vertices of KLMN under a 90° clockwise rotation are:
K'(0, 0), L'(2, -5), M'(-5, -5), N'(-3, 0).
Therefore, the answer is (B) K′(0, 0), L′(2, −5), M′(−5, −5), N′(−3, 0).
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Determine the equation of the parabola whose graph is given below. Write your answer in General Form. A parabola on a coordinate plane.
The equation of parabola becomes y = -2/25(x-3)^2 + 4.
According to the statement
we have given a graph and from this graph we have to find the equation of parabola in the general form.
So,
we know that the equation of parabola in general form is
y = a(x-h)^2 +k - (1)
From the graph we have:
a point on the graph is (x,y) = (-2,2)
the vertex of the graph is (h,k) = (3,4)
Now, substitute these values in the equation number (1)
Then
y = a(x-h)^2 +k
2 = a(-2-3)^2 +4
2 = a(-5)^2 +4
2 = a(25) +4
25a = -2
a = -2/25.
Now put a = -2/25 and (h,k) = (3,4) in the equation(1).
Then
the equation of parabola becomes y = -2/25(x-3)^2 + 4
So, The equation of parabola becomes y = -2/25(x-3)^2 + 4.
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P(Music/Drama) round to the nearest percent
Using it's concept, the probability that a randomly selected student is in music/drama is: 25%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Hence, in this problem, the probability will be found dividing the number of students that are in music or drama by the total number of students.
These data is given in a table, which is not given in this exercise. Researching this problem on the internet, we have that there are 20 + 7 + 3 + 20 + 13 + 2 + 25 + 5 + 5 = 100 students, of which 7 + 13 + 5 = 25 are in music/drama, hence the probability is:
P = 25/100 = 25%.
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Find the measure for the unknown angle.
Answer:
49°
Step-by-step explanation:
Right angled triangle:
This is a type of triangle with one of the angle as 90°
Sum of angles in a Right angled triangle is 90°
Therefore,
y + 41° = 90°
collecting like terms
y = 90 - 41 = 49°
Therefore,
y = 49°
polynomial>>>look at pick fundamental theorem
Answer:
1
Step-by-step explanation:
The factor (x³ - 1) is not repeated.
David has kept track of his family’s grocery bills for the past 10 weeks, as shown in the table.
Week 1 2 3 4 5 6 7 8 9 10
Bill ($) 92 106 129 115 100 84 110 156 98 87
Would you choose to use a histogram, a circle graph, or a line graph to display the data? Explain your choice. Then make a display.
The preferred choice would be a line graph (drawn in the figure attached) for displaying the data.
Why a line graph is the preferred option here?
For displaying the data of David's family's grocery bills for the past 10 weeks, a line graph is the most preferable choice since it would display the data's trend for us. This is similar to how we would notice times when there were huge costs.Another reason for choosing a line graph is that it is very easy to comprehend. It is simple to observe how the data are related and how they have changed.What is a line graph?
An individual data point is connected by a line in a line graph, sometimes referred to as a line plot or a line chart. A line graph shows numerical values over a predetermined period of time.
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What ia an equation of the line that is parallel to y=3x-8 and passes through the point (4,-5)?
Answer:
y = 3x - 17
========================
Given liney = 3x - 8Parallel lines have equal slopes, so its equation is in the form of:
y = 3x + bSince it passes through the points (4 , - 5), find the value of the y-intercept b by substituting x- and y- coordinates into this equation:
- 5 = 3*4 + b- 5 = 12 + bb = -5 - 12b = - 17The equation of the parallel line is:
y = 3x - 17A method of sampling that enables researchers to specify for each case in the population the probability of its inclusion in the sample is referred to as ______ sampling.
Simple Random sampling
Meaning:
Simple random sampling is a type of probability sampling in which the researcher randomly selects a subset of participants from a population. Each member of the population has an equal chance of being selected.
For example, if you randomly select 1000 people from a town with a population of 100,000 residents, each person has a 1000/100000 = 0.01 probability. That's a simple calculation requiring no additional knowledge about the population's composition. Hence, simple random sampling.
Advantage:
Simple random sample advantages include ease of use and accuracy of representation. No easier method exists to extract a research sample from a larger population than simple random sampling.
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Are the ratios 2:1 and 14:6 equivalent?
yes
no
(5x²+36x+40)/(x+6)
Your answer should give the quotient and the remainder.
The quotient of the polynomial exists 5x+6 + (4 / x+6).
What is meant by quotient and remainder?The number of periods we have subtracted exists named the quotient (of the division of by ) The number that exists leftover after subtracting as usually as possible exists named the remainder (of the division of by ).
Given: (5x²+36x+40)/(x+6)
(5x²+36x+40)/(x+6) = 5x + (6x+40 / x+6)
Dividing the above equation
(6x+40) / (x+6) = 6+(4 / x+6)
Therefore, (5x²+36x+40)/(x+6) = 5x+6 + (4 / x+6)
The quotient of the polynomial exists 5x+6 + (4 / x+6).
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Which statement is true about the given function?
f(x) >0 over the interval (-3).
f(x) >0 over the interval (-∞∞).
f(x) <0 over the interval (-3).
Of(x) <0 over the interval (-x).
Intro
20
10
-10
-20
Done. I need an answer ASAP
Answer: Choice C
Reason:
The curve is below the x axis on the interval [tex]-\infty < \text{x} < 3[/tex] which shortens down to the interval notation [tex](-\infty, 3)[/tex], so this is when f(x) < 0.
Michael collects 45 trays of eggs every week . how many trays does he collect in two months?
Use properties to rewrite the given equation. Which equations have the same solution as the equation
x + + x = – x plus StartFraction 2 Over 3 EndFraction plus x equals StartFraction one-half EndFraction minus StartFraction 1 Over 5 EndFraction x.x
The equation computed shows that the correct options are A, B, and D.
How to illustrate the information?1) The equation we want to rewrite is;
³/₅x + ²/₃ + x = ¹/₂ – ¹/₅x
(³/₅ + 1)x + ²/₃ = ¹/₂ – ¹/₅x
⁸/₅x + ²/₃ = ¹/₂ – ¹/₅x
This corresponds with the solution in Option A
2) ³/₅x + ²/₃ + x = ¹/₂ – ¹/₅x
Let us use multiplication property of equality which states that if we multiply both sides of an equation by the same quantity, then both sides remain equal.
Let's get rid of the denominators by multiplying each term by the LCM of the denominators. LCM of 2,3,5 is 30. Thus;
30(³/₅x) + 30(²/₃) + 30x = 30(¹/₂) - 30(¹/₅x)
Simplifying gives;
18x + 20 + 30x = 15 - 6x
This solution corresponds with that in option B
3) We will make use of additive property of equality which states that when we add the same number to both sides of an equation, then both sides remain equal.
Let's add 6x to both sides of 18x + 20 + 30x = 15 - 6x;
18x + 20 + 30x + 6x = 15 - 6x + 6x
⇒ 24x + 30 + 20 = 15
Using subtractive property of equality, let us subtract 20 from both sides to get;
24x + 30 + 20 - 20 = 15 - 20
This corresponds with the solution in Option D.
Complete question:
Use properties to rewrite the given equation. Which equations have the same solution as 3/5x +2/3 + x = 1/2– 1/5x? Check all that apply.
a. 8/5x+2/3=1/2-1/5x
b. 18x + 20 + 30x = 15 – 6x
c. 18x + 20 + x = 15 – 6x
d. 24x + 30x = –5
e. 12x + 30x = –5
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What are the new coordinates? Marking brainliest whoever gets it!
Answer:
a = (9,8)
b=(10,6)
c=(4,3)
Step-by-step explanation:
basically, you just take the original coordinates and add the translation to it.
so a was -1,6 so just at 10 to -1 as they are x coordinates nad add 2 to 6 because they are Y coordinates and you just do it for all of the points.
Given startlayout enlarged left-brace first-row startfraction x cubed minus 1 over x squared minus 1 endfraction, for x less-than 1 second row startfraction 3 over x minus 1 endfraction, for x greater-than-or-equal-to 1 endlayout. what is limit of f (x) as x approaches 1 minus? negative three-halves 0 three-halves dne
The limit of f(x) as it approaches -1 is given as 3/2
What is limit in mathematics?In mathematics and computation, the limit can be described to be the value that a sequence is going to approach in such a way that the input would approach or tend towards a given value
The unit is used to assign values to numbers at certain points where there are no defined values.
How to solve the limitwe have 3/x-1
We have to take the value of x here to be three as the equation tends to 1.
Then we apply it in the formula
3/3-1
= 3/2
Hence the limit of f(x) is given as 3/2
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MATH HELP!!! 100PTS!!!
Write the parametric equations
x=5sinθ,y=3cosθ,0≤θ≤π
in the given Cartesian form.
(y^2)/9=
with x≥0.
Answer:
[tex]\dfrac{y^2}{9}=1-\dfrac{x^2}{25}[/tex]
Step-by-step explanation:
When converting parametric equations that involve trig functions to Cartesian equations, use trig identities to eliminate the parameter.
Given parametric equations:
[tex]x=5 \sin \theta, \quad y=3 \cos \theta, \quad 0\leq \theta\leq \pi[/tex]
Square the equation for x:
[tex]\implies x^2=(5 \sin \theta)^2=25 \sin^2 \theta[/tex]
Use the identity [tex]\sin^2 x+\cos^2x =1[/tex] to write [tex]x^2[/tex] in terms of cos:
[tex]\implies x^2=25(1-\cos^2 \theta)[/tex]
Isolate [tex]\cos^2 \theta[/tex] :
[tex]\implies \dfrac{x^2}{25}=1-\cos^2 \theta[/tex]
[tex]\implies \cos^2 \theta=1- \dfrac{x^2}{25}[/tex]
Square the equation for y:
[tex]\implies y^2=(3 \cos \theta)^2=9 \cos ^2 \theta[/tex]
Replace [tex]\cos^2 \theta[/tex] with the found equation involving [tex]x^2[/tex] :
[tex]\implies y^2=9\left(1-\dfrac{x^2}{25}\right)[/tex]
Divide both sides by 9:
[tex]\implies \dfrac{y^2}{9}=1-\dfrac{x^2}{25}, \quad \textsf{with }x\geq 0[/tex]
LMNP is rotated 90 degrees clockwise about the origin. What are the coordinates of M’?
A. M’ (-4,3)
B. M’ (4,-3)
C. M’ (3,-4)
D. M’ (-3,-4)
The coordinates of M' is M'(-3,-4).
According to the statement
LMNP is rotated 90 degrees clockwise about the origin.
and we have to find the coordinates of M'.
so,
when it is rotated then it take four steps to reach at the end.
So, due to its moving procedure it takes four steps to reach at end.
and due to the four step procedure it's coordinates are changes four time and that's why at the end the coordinates we have to find are become a -3 and -4. So, the coordinate we get are -3 and -4
Due to this procedure the coordinate of m' become M'(-3,-4)
So, The coordinates of M' is M'(-3,-4).
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Answer: B. M'(4, -3) Just took the test
Step-by-step explanation:
The answer is C, how is it solved?
Answer:
(C) 0
Step-by-step explanation:
As always, the first step is to read and understand the question. You are asked to find the smallest number in the set {M₁, M₂, M₃}. Each of these values is defined to be the largest number in the corresponding sets S₁, S₂, S₃.
Set MThe numbers in each set are ordered smallest to largest, so the largest number in each set is the one on the right.
The largest number in S₁ is 8, so M₁ = 8.
The largest number in S₂ is 6, so M₂ = 6.
The largest number in S₃ is 0, so M₃ = 0.
This means the set M is ...
M = {M₁, M₂, M₃} = {8, 6, 0}
The question asks for the smallest number in set M. Clearly, it is 0.
The smallest number in the set is 0.
A man bought 42 stamps, some 13¢ and some 18¢. How many of each kind did he buy if the cost was $6.66?
If x represents the number of 13 cent stamps and y the 18 cent stamps, which system represents the problem?
The system of equation which represent the scenario is;
x + y = 42
x + y = 420.13x + 0.18y = 6.66
Simultaneous equationlet
number of 13 cent stamps = xnumber of 18 cent stamps = yTotal cost of the stamps = $6.66Total number of stamps = 42x + y = 42
x + y = 420.13x + 0.18y = 6.66
Therefore, the equation which represent the problem is;
x + y = 42
0.13x + 0.18y = 6.66
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Andy is collecting pocket change for a fundraiser. he begins with 102 coins in the cup, and their monetary value is $17.10. if he has a mix of dimes and quarters, how many of the coins are dimes?
If Andy has 102 coins mixed with dimes and quarters and monetary value of $17.10 then he has 56 dimes and 42 quarters.
Given number of coins Andy has is 102 and montary value of all coins is $17.10.
We have to determine number of dimes and quarters.
1 dime=$0.10
1 quarter=$0.25
Suppose the number of dimes be x and number of quarters be y.
The equations are:
0.10x+0.25y=17.10------------1
x+y=102-------------2
from equation 2, y=102-x
Put the value of y=102-x in equation 1
0.10x+0.25(102-x)=17.10
0.10x+25.5-0.25x=17.10
-0.15x=17.10-25.5
-0.15x=-8.4
x=8.4/0.15
x=56
Put the value of x in y=102-x
y=102-56
y=46
Hence Andy has 56 number of dimes and 46 quarters.
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What is the length of an edge of a cube whose total surface area is equal to 150 square feet?
The length of an edge of a cube is 5 feet.
What is cube?In Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.
Total surface area of a cube = 6[tex]l^{2}[/tex]
Given that,
Total surface area of a cube = 150 square feet
Total surface area of a cube = 6[tex]l^{2}[/tex]
[tex]\Rightarrow[/tex] 150 = 6[tex]l^{2}[/tex]
[tex]\Rightarrow[/tex] [tex]l^{2}[/tex] = [tex]\frac{150}{6}[/tex]
[tex]\Rightarrow[/tex] [tex]l^{2}[/tex] = 25
[tex]\Rightarrow[/tex] l [tex]=\sqrt{25}[/tex]
[tex]\Rightarrow[/tex] l = 5 feet
Hence, the length of an edge of a cube is 5 feet.
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A supermarket increases the prices of some grocery items by 10%.
(a) What will be the new price of a loaf of bread marked at $1.80.
(b) What will the price of a packet of cereal that has a price tag of $4.20, but already discounted by 50%
Answer:
(a) $1.98
(b) $6.30
Step-by-step explanation:
(a)
The new value =
1.80 + The value of the percentage increase =
1.80 + (10% × 1.80) =
1.80 + 10% × 1.80 =
(1 + 10%) × 1.80 =
(100% + 10%) × 1.80 =
110% × 1.80 =
110 ÷ 100 × 1.80 =
110 × 1.80 ÷ 100 =
198 ÷ 100 =
1.98
Calculate the actual change (the absolute difference) between the two values
The actual change =
The new value - 1.80 =
1.98 - 1.80 =
0.18
Proof of calculation.
Calculate the percentage increased value...
... and see if we get as a result...
... the actual change (the absolute difference).
Calculate the percentage increased value:
The value of the percentage increase =
10% × 1.80 =
10 ÷ 100 × 1.80 =
10 × 1.80 ÷ 100 =
18 ÷ 100 =
0.18
So we have proven that the calculations are correct.
For positive numbers
The actual change =
The value of the percentage increase
The answer:
1.80 increased by 10% = 1.98
The actual change:
1.98 - 1.80 = 0.18
(b)
Calculate the New value
The new value =
42.0 + The value of the percentage increase =
4.20 + (50% × 4.20) =
4.20 + 50% × 4.20 =
(1 + 50%) × 4.20 =
(100% + 50%) × 4.20 =
150% × 4.20 =
150 ÷ 100 × 4.20 =
150 × 4.20 ÷ 100 =
63,000 ÷ 100 =
630
(but its as a dollar so its 6.30)
Calculate the actual change (the absolute difference) between the two values
The actual change =
The new value - 4.20 =
6.30 - 4.20 =
2.10
Proof of calculation.
Calculate the percentage increased value...
... and see if we get as a result...
... the actual change (the absolute difference).
Calculate the percentage increased value:
The value of the percentage increase =
50% × 4.20 =
50 ÷ 100 × 4.20 =
50 × 4.20 ÷ 100 =
21,000 ÷ 100 =
210
(but its as a dollar so its 2.10)
So we have proven that the calculations are correct.
For positive numbers
The actual change =
The value of the percentage increase
The answer:
4.20 increased by 50% = 6.30
The actual change:
6.30 - 4.20 = 2.10
Which formula gives the zeros of y = sin(x)? k pi for any positive integer k k pi for any integer k StartFraction k pi Over 2 EndFraction for any positive integer k StartFraction k pi Over 2 EndFraction for any integer k
Answer:
y =sin(x)
Step-by-step explanation:
small brain
Answer:
B: k pi for any integer k
Step-by-step explanation:
I took the test
How many 3-coin combinations exist if we can choose from
pennies, nickels, dimes, and quarters?
select one:
a. 20
b. 4!
o
c.4.
o
d. 12
There are four numbers of 3-coin combinations if we can choose from nickels, dimes, quarters, and half-dollars.
How to solve probability combinations?The coins to select from are nickels, dimes, quarters, and half-dollars;
Thus;
Coins (n) = 4
The number of coin to select is:
Coin (r) = 3
The coin combination is then calculated using:
Combination = ⁴C₃
Apply the combination formula, we have;
Combination = 4
Thus, there are four number 3-coin combinations if we can choose from nickels, dimes, quarters, and half-dollars.
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Answer:
12
Step-by-step explanation:
took the exam
If 4x² = 16, then x =
A20
B12
C4
D2
40 points+Brainliest
Can someone please help me asap?? I really appreaciate it. I have to select more than one
Answer:
Your correct
Step-by-step explanation:
x = 36
x/3 = 12
x = 12(3)
x = 36
What is the scale factor for Triangle XYZ to Triangle UVW?
A. 1/2
B. 2
C. 1/4
D. 4
Jake tossed a paper cup 50 times and recorded how it landed. the table shows the results:
position
open side up closed side up landing on side
1
5
44
number of times landed in position
based on the table, determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side). show your work
2
xd
c
e!
23
3
12 source vc
bius x, xi :-
29
ee
styles
normal
. ?
The experimental probability of each event is as follows:
Landing open side up = 1/50 = 0.02 = 2%.Landing closed side up = 5/50 = 1/10 = 0.1 = 10%.Landing on its side = 44/50 = 0.88 = 88%.The experimental probability of an event is the ratio of the number of outcomes that favored the event to the total number of outcomes in the experiment.
In the question, we are given that Jake tossed a paper cup 50 times and recorded the position how it landed, which is shown in the table:
Open-sided up: 1
Closed side up 5
On the side: 44.
We are asked to determine the experimental probability of each outcome.
The number of outcomes, when the landing is open-sided up is 1.
The number of outcomes, when the landing is closed-sided up is 5.
The number of outcomes, when the landing is on the side up is 44.
The total number of times the experiment took place is 50.
Thus, the experimental probability of each event is as follows:
Landing open side up = 1/50 = 0.02 = 2%.Landing closed side up = 5/50 = 1/10 = 0.1 = 10%.Landing on its side = 44/50 = 0.88 = 88%.Learn more about the experimental probability at
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What equation is parallel to 3y = 6x-10 and passes through A(4,5)?
Answer:
57?
Step-by-step explanation:
how do I find x on the attached right triangle
?
The value of x from the given triangle is 32√3/3
SOH CAH TOA identityIn order to determine the value of x, first we need to determine the hypotenuse side of the smaller triangle.
sin 60 = 8√2/H
H = 8√2/sin60
H = 8√2 * 2/√3
H = 16√2/√3
H = 16√6/3
For the value of x, we will use the expression
sin45 = (16√6/3)/x
1/√2 = 16√6/3x
3x = 16√12
3x = 32√3
x = 32√3/3
Hence the value of x from the given triangle is 32√3/3
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Please help!!! due today. Find the surface area of the triangular prism.
The surface area of the shape is 168 square cm
Surface area of triangular prismThe surface area of a figure is the area of the faces of the given figure.
For the given figure, the area will be the sum of area of 2 triangles and 3 rectangles.
Area = (6*3) +(10*6)+(6+10) +(10*3)
Surface area = 18 + 120 + 30
Surface area = 168 square cm
Hence the surface area of the shape is 168 square cm
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