If the given figure is rotated 180° around the origin, what are the new coordinates of point Z?
Answers
How do you rotate a figure 180 degrees in anticlockwise or clockwise direction on a graph?
Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k).
Worked-out examples on 180 degree rotation about the origin:
1. Find the co-ordinates of the points obtained on rotating the points given below through 180° about the origin. i) A (3, 5)
(ii) B (-2, 7)
(iii) C (-5, -8)
(iv) D (9, -4)
Solution:
When rotated through 180° anticlockwise or clockwise about the origin, the new position of the above points is.
(i) The new position of the point A (3, 5) will be A' (-3, -5)
(ii) The new position of the point B (-2, 7) will be B' (2, -7)
(iii) The new position of the point C (-5, -8) will be C' (5, 8)
(iv) The new position of the point D (9, -4) will be D' (-9, 4)
2. Plot the point M (-1, 4) on the graph paper and rotate it through 180° in the anticlockwise direction about the origin O. Find the new position of M.
Solution: When rotated through 180° in the anticlockwise direction about the origin O, then M (-1, 4) → M'' (1, -4).
3. Draw a line segment joining the point P (-3, 1) and Q (2, 3) on the graph paper and rotate it through 180° about the origin in anticlockwise direction.
Solution: On plotting the points P (-3, 1) and Q (2, 3) on the graph paper to get the line segment PQ.
Now rotate PQ through 180° about the origin O in anticlockwise direction, the new position of points P and Q is:
P (-3, 1) → P' (3, -1)
Q (2, 3) → Q' (-2, -3)
Thus, the new position of line segment PQ is P'Q'.
4. Draw a line segment MN joining the point M (-2, 3) and N (1, 4) on the graph paper. Rotate it through 180° in anticlockwise direction.
Solution: plotting the points M (-2, 3) and N (1, 4) on the graph paper to get the line segment MN.
Now, rotating MN through 180° about the origin O in anticlockwise direction, the new position of points M and N is:
M (-2, 3) → M' (2, -3)
N (1, 4) → N' (-1, -4)
Thus, the new position of line segment MN is M'N'. 5. Draw a triangle PQR by joining the points P (1, 4), Q (3, 1), R (2, -1) on the graph paper. Now rotate the triangle formed about the origin through 180° in clockwise direction.
Solution: We get triangle PQR by plotting the point P (1, 4), Q (3, 1), R (2, -1) on the graph paper when rotated through 180° about the origin. The new position of the point is:
P (1, 4) → P' (-1, -4)
Q (3, 1) → Q' (-3, -1)
R (2, -1) → R' (-2, 1)
Thus, the new position of ∆PQR is ∆P’Q’R’.
Answer:
im not sure if there is a picture it would help more :)
Step-by-step explanation:
Related Questions
If a breath
contains about
10^22 molecules
molecules and these molecules of last breath are thoroughly mixed among
10^44 molecules
molecules in the atmosphere, estimate the probability that you are inhaling at least
one of these breath molecules at this moment. You can assume that the
molecules in your breath are inhaled (sampled) sequentially with replacement.
Answers
The probability of inhaling at least one molecule from your last breath is virtually certain, reaching close to 1 or 100%.
The probability of inhaling at least one molecule from your last breath, given that there are approximately 10^22 molecules in your breath and they are thoroughly mixed among 10^44 molecules in the atmosphere, is extremely high. It is essentially certain that you are inhaling at least one of these molecules at any given moment.
The probability of inhaling at least one molecule from your last breath can be calculated by considering the ratio of the molecules in your breath to the molecules in the atmosphere. With approximately 10^22 molecules in your breath and 10^44 molecules in the atmosphere, the probability of inhaling at least one molecule from your last breath can be approximated as 1 - (probability of not inhaling any molecule).
The probability of not inhaling any molecule from your last breath can be calculated by the following formula: (1 - probability of inhaling one molecule)^N, where N is the number of breaths you have taken since your last breath.
However, in this scenario, the number of molecules in the atmosphere is enormously greater than the number of molecules in your breath. This means that even if you take a vast number of breaths, the probability of not inhaling any molecule from your last breath becomes incredibly small, approaching zero. Therefore, the probability of inhaling at least one molecule from your last breath is virtually certain, reaching close to 1 or 100%.
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Find the slope of the line that passes through (2,2) and (9,10)
Answers
Answer: you just take the first set of points and subtract the second from it.
Step-by-step explanation: 2-9=-7 and 2-10=-8
the new set would be (-7,-8) hope this helps
i have no clue how to do this someone help
Answers
two angles of a triangle measure 27 degrees and 17 degrees what is the measure of the third angle? A) 146 degrees B) 136 degrees C) 46 degrees D) 44 degrees
Answers
Answer:
The third angle is 136
Step-by-step explanation:
The three angles of a triangle add to 180
27+17+x = 170
Combine like terms
44+x = 180
Subtract 44 from each side
44+x-44 =180-44
x =136
Answer:
136° is the answer.
Step-by-step explanation:
given ,
1st angle=27°
2nd angle= 17°
let the third angle be x
then ,x+27°+17°=180°
or x+44°=180°
or, x=180_44
therefore the value of x is 136°.
jeremy needs to mail five packages to his family. the first two weight 3 1/4 pounds and the other three weigh 2 1/2 pounds each. if two-day shipping costs $2.37 per pound and ground shipping costs $1.30 per pound, how much will he save by shipping all of his packages ground shipping rather than two-day?
Answers
Answer:
you would get around 1.07 or 5.35
Step-by-step explanation:
a testable prediction of what will happen under a specific set of conditions is known as a/an
Answers
A testable prediction of what will happen under a specific set of conditions is known as a hypothesis.
A hypothesis is a tentative explanation or prediction about a phenomenon or relationship between variables, based on limited evidence or prior knowledge. It is often formulated as a statement that can be tested through research or experimentation.
A hypothesis typically includes an independent variable (the variable that is being manipulated or studied) and a dependent variable (the variable that is being measured or observed). The hypothesis also includes a prediction about how the independent variable will affect the dependent variable.
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Can someone help me with this problem involving factoring a trinomial and filling in a table? Steps 1, 2, and 3 please. Thank you!
Answers
Step 1 involves you listing out all the ways to multiply to 56, and then adding up those factors. For instance, the first row has 1 and 56 which add to 57 in the third column. The second row has -1 + (-56) = -57. The third row has 2+28 = 30. And so on. The idea is to fill out the table completely with the other ways to have factors of 56 added up. The table is shown in the attached image below.
------------------
Step 2 then uses the table to figure out which pair of factors (of 56) add to -15. This would be -7 and -8. In other words,
-7 plus -8 = -15
-7 times -8 = 56
We have found the right pair of numbers. In the table I have provided, this is shown as the highlighted yellow row.
------------------
Step 3 is then using those pair of numbers found in step 2 to set up the factorization. We would say that x^2-15x+56 factors to (x-7)(x-8). This is the same as (x-8)(x-7) as we can multiply two numbers in any order we want.
PLEASE HELP MEEEE THANKS IN ADVANCE :)))))))
Answers
Answer:
c
Step-by-step explanation:
A has a median and symetric value in each side 15⇒4520⇒40B has growing values toward 58 starting from 15 15⇒20⇒25⇒30(the value supposed to be the median)⇒58 so it is negatively skewed and the mode is 58Someone please helppppp!!!!!!! Will give brainliest!!!
Find a simplified expression to represent the area of the triangle. The area formula for a triangle is 1/2 by, where b is the base and h is the height.
The expression that represents the area of this triangle is ___x2 + ___x + ___cm2.
Answers
Answer:
4x^2 +22x -12
Step-by-step explanation:
The area of a triangle is
A =1/2 bh where b is the base and h is the height
A =1/2 ( 4x-2) ( 2x+12)
Distribute
= (2x-1) ( 2x+12)
FOIL
first 2x*2x = 4x^2
outer 2x * 12 = 24x
inner -1 *2x = -2x
last -1 * 12 = -12
Add them together
4x^2 +24x -2x -12
Combine like terms
4x^2 +22x -12
Determine the ordered pair that satisfies the equation, 5x + 2y = 7.
A
(8. – 33 )
B
(-1,1)
C
(-4,3)
D
(5,2)
E
I don't know yet
Answers
Answer:
None of the first 4 do. so I guess the answers E.
Step-by-step explanation:
square root of (x-15)(x-15)
Answers
Answer: x - 15
Step-by-step explanation:
The answer is x - 15
Answer:
x-15
Step-by-step explanation:
8. The book fair had a sale where 6 books were $20.46. If you wanted to buy 7 books, how much money would you need?
Answers
Answer:
$23.87
Step-by-step explanation:
should be around there
what is the nature and scope of the conclusion the study can reach
Answers
The nature and scope of the conclusion that a study can reach refers to the limitations and generalizability of the results obtained.
It depends on the research design, methodology, and sample size used. The conclusion can only be applied to the specific population and conditions studied.
The study may also have limitations due to biases or confounding variables that can affect the validity of the conclusion. To have a stronger conclusion, it is important to have a well-designed study with a large and representative sample, and to control for extraneous variables.
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2. Find the quotient ( /=fraction)
a. 2/5 ➗ 3/4 =
b. 9/4 ➗ 3/4 =
c. -5/7 ➗-1/3 =
d. -5/3 ➗ 1/6 =
Answers
Answer:
a . 2/4 ÷ 3/4 = 2/3
b .9/4 ÷ 3/4 = 3
d. -5/3 ÷ 1/6 = 10
Step-by-step explanation:
didn't know c sorry
Which of the following values for x is true for 4x > 10?
3
O x=
4
O x = 2
O x = 2.5
OX= 3
Answers
PLEASE HELP DUE SOON! - 40 POINTS + BRAINLIEST
(2 attachments)
Answers
Answer:
Step-by-step explanation:
B
A
A
dilations increase the measure of angles
true or false
Answers
I hope this helps! Please comment if you have any questions.
please explain, True or False: The variables in the equation 4x-(5y)2=64x-(5y)2=6 are 4, 5, and 6
Answers
Is Mabel correct?
A. Mabel is correct.
B. No, she made a mistake in step 2
C. No, she made a mistake in step 3
D. No, she made a mistake in step 4
Answers
(
4
x
−
3
)
(
(
x
−
2
)
2
)
=
4
x
3
−
19
x
2
+
4
x
−
12
4
x
3
−
19
x
2
+
28
x
−
12
=
4
x
3
−
19
x
2
+
4
x
−
12
Step 1: Subtract 4x^3 from both sides.
4
x
3
−
19
x
2
+
28
x
−
12
−
4
x
3
=
4
x
3
−
19
x
2
+
4
x
−
12
−
4
x
3
−
19
x
2
+
28
x
−
12
=
−
19
x
2
+
4
x
12
Step 2: Add 19x^2 to both sides.
−
19
x
2
+
28
x
−
12
+
19
x
2
=
−
19
x
2
+
4
x
−
12
+
19
x
2
28
x
−
12
=
4
x
−
12
Step 3: Subtract 4x from both sides.
28
x
−
12
−
4
x
=
4
x
−
12
−
4
x
24
x
−
12
=
−
12
Step 4: Add 12 to both sides.
24
x
−
12
+
12
=
−
12
+
12
24
x
=
0
Step 5: Divide both sides by 24.
24
x
24
=
0
24
x
=
0
Answer:
x
=
0
Answer:
D. No, she made a mistake in step 4
Step-by-step explanation:
Underline the combination of surface soil and slope conditions that resulted in the most infiltration of rainwater:
(1) Steep slope and Type 1 soil, (2) Steep slope and Type 2 soil, (3) Gentle slope and Type1 soil or (4) Gentle slope and Type 2 soil
Underline the condition that resulted in the greatest amount of surface runoff:
(1) Gradual slope, (2) Infiltration rate exceeds the rate of rainfall, (3) Surface soil has reached saturation (all the pore spaces between the grains are filled with water) or (4) permeability of the surface soil.
Answers
The combination of a gentle slope and Type 1 soil resulted in the most infiltration of rainwater.
Which combination of surface soil and slope conditions led to the highest amount of rainwater infiltration?The most significant factor leading to the greatest infiltration of rainwater is the combination of a gentle slope and Type 1 soil. This specific combination allows for optimal water absorption and percolation into the ground. Type 1 soil, which is characterized by its high permeability and water-holding capacity, facilitates the efficient movement of water through its pore spaces. Meanwhile, the gentle slope helps to minimize surface runoff and allows rainwater to gradually seep into the soil, reducing the risk of erosion. By considering these two elements together, the combination of a gentle slope and Type 1 soil proves to be the most effective in maximizing rainwater infiltration.
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If m= 2, n=3, and p= -1, then find the value of : 2mn4 – 15m2n + p
In Full Details!! As Soon As Possible
Answers
Answer:
-131
Step-by-step explanation:
2×2×3×4-15×2×2×3+-1
48-179
=-131
Because 2x2x3x4=48
And -15x2x2x3=-180.
48-180+(-1)=-133
which statement about bar charts is true? group of answer choices bar charts are typically used to illustrate the pieces within a whole. bar charts cannot be used to compare amounts or quantities. bar charts are more versatile than pie charts and line charts. bar charts can be used to represent only a few types of data.
Answers
The statement "bar charts are more versatile than pie charts and line charts" is true.
The statement "bar charts are more versatile than pie charts and line charts" is true. Bar charts are versatile and can be used to compare data, show trends over time, and compare different categories or groups. They are especially useful for showing data with distinct categories, such as nominal data. In contrast, pie charts are limited in their use because they can only represent parts of a whole, while line charts are best suited for showing trends over time. Bar charts can be customized to display a wide range of information and are a valuable tool for communicating data effectively in a variety of contexts.
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Is there an end to prime numbers?
Answers
\(\huge\purple{Hi!}\)
Except for 2 and 5, all prime numbers end in the digit 1, 3, 7 or 9.
(8,-8) (9,-9) find midpoint
Answers
Answer:
a: (9,-9)
Step-by-step explanation:
As it can be in the middle of the given endpoints
Which sequences of transformations performed on rhombus ABCD shows its congruency to rhombus A'B'C'D?
a reflection across the y-axis and then a 180° rotation about the origin
a 90° counterclockwise rotation about the origin and then a reflection across the y-axis
a reflection across the y-axis and then a 90° counterclockwise rotation about the origin
a 90° clockwise rotation about the origin and then a reflection across the x-axis
a reflection across the x-axis and then a 90° clockwise rotation about the origin
Answers
Answer:
a 90° clockwise rotation about the origin and then a reflection a cross the x-axis
The correct sequence is 90° clockwise rotation about the origin and then a reflection a cross the x-axis.
what is counterclockwise rotation and clockwise rotation?There are two different directions of rotations, clockwise and counterclockwise: Clockwise Rotations (CW) follow the path of the hands of a clock. These rotations are denoted by negative numbers. Counterclockwise Rotations (CCW) follow the path in the opposite direction of the hands of a clock.
So, according the given transformation the point A' appears on right side then is clockwise rotation.
If it was counterclockwise rotation then point A' appears on left side.
After that is over x- axis then it is reflection across the x-axis.
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2+2= what +6 HA they cant repo this so u guys can get points
Answers
Answer:
10
Step-by-step explanation:
2+2=4
4+6= 10
Answer:
The answer is uhhhhhhhh 10
Step-by-step explanation:
The beta for the DAK Corporation is 1.25. The yield on 30-year T-bonds is 5.65 percent, and the long-term average return on the S&P 500 is-11 percent. Calculate the required rate of return for DAK Corporation. I
Answers
The required rate of return for DAK Corporation is 12.34%.
What is the required rate?
The minimal profit (return) an investor will seek or expect in exchange for taking on the risk of investing in a stock or other type of security is known as the required rate of return (RRR). RRR can also be used to determine a project's potential profitability in relation to its funding costs.
Here, we have
Given Information
Beta = 1.25
The yield on 30-year T bonds (rf)= 5.65%
Return on S&P (rM) = 11%
Required Return for DAK = rf + Beta*(rM - rf)
= 5.65% + 1.25*(11% - 5.65%)
= 12.34%
Hence, the required rate of return for DAK Corporation is 12.34%.
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I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answers
Answer:
3*4 is 12, 12*4 is 48, 48*4 is 192, so the answer is 192
If m=6, then 3×6= 18.
43-18=25
Your answer is 25.
Step-by-step explanation:
Can I have brainly please!
EVALUATE EXPRESSION
Step-by-step explanation:
43-3m=?? if m=6
substitute
43-3 * 6= 25
A graphing calculator is recommended. Find the maximum and minimum values of the function. (Round your answers to two decimal places.) y = sin x + sin 2x maximum value minimum value
Answers
The maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.
To find the maximum and minimum values of the function y = sin x + sin 2x, we can first take its derivative with respect to x:
y' = cos x + 2 cos 2x
Then, we can set y' equal to zero and solve for x:
cos x + 2 cos 2x = 0
We can use a graphing calculator to find the solutions to this equation, which are approximately x = 0.285 and x = 2.857. We can then evaluate the original function at these values to find the maximum and minimum values:
y(0.285) ≈ 1.724
y(2.857) ≈ -1.724
Therefore, the maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.
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Prove AB is congruent to BC given BE bisects DBC and BE is parallel to AC
Answers
AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .
What is congruent ?
Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.
Step 1: Statement: \($\angle DBE = \angle EBC$\)
Reason: Given that overline BE bisects \($\angle DBC$\)
Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)
Reason: Angle sum property of a straight line.
Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)
Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.
Step 4: Statement: \($\angle ABC = \angle DBC$\)
Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).
Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)
Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.
Step 6: Statement: \($AB = BC$\)
Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).
Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .
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