Triangle JKL with vertices /(1, -1), K(2, 3), and
L(3,-2) in the line x = 4.
.ب)J
K'.
L'(_
(
Answers
The reflection of the triangle JKL across the line x = 4 is equivalent to
equivalent to flipping the preimage across the line x = 4.
The correct coordinates are;
[tex]\underline{J'(7, \, -1)}[/tex]
[tex]\underline{K'(6, \, 3)}[/tex]
[tex]\underline{L'(5, -2)}[/tex]
Reasons:
The given transformation is a reflection about the line x = 4
The points of triangle JKL are J(1, -1), K(2, 3), and L(3, -2), in the line x = 4
The coordinates of the triangle JKL following a reflection across the line x = 4, have the same y-coordinates , while the x-coordinates have the same distance magnitude to the line x = 4, but opposite sign.Distance between x-coordinate of the point J and the line x = 4 is 4 - 1 = 3
Which gives;
Distance between x-coordinate of the point J' and the line x = 4 is 4 + 3 = 7
Therefore, the coordinate of the point J' is [tex]\underline{J'(7, \, -1)}[/tex]
Similarly, we have;
Distance between x-coordinate of the point K and the line x = 4 is 4 - 2 = 2
Distance between x-coordinate of the point K' and the line x = 4 is 4 + 2 = 6
The coordinate of the point K' is [tex]\underline{K'(6, \, 3)}[/tex]
Distance between x-coordinate of the point L and the line x = 4 is 4 - 2 = 2
Distance between x-coordinate of the point L' and the line x = 4 is 4 + 2 = 6
The coordinate of the point L' is [tex]\underline{L'(5, -2)}[/tex]
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Related Questions
Which sentence in this conclusion paragraph most clearly reminds the reader of the main points?
(1) As the evidence has shown, Faith is not only Goodman Brown's wife but also a symbol of his weakening faith. (2) He ignores her advice not to leave Salem, and he loses her in the woods, two events that show that his faith is fading
(3) Indeed, the ending of the story suggests that his faith is never restored.(4) In many ways, Goodman Brown's relationship with faith and Faith is a warning.
(A. Sentence 1
( B. Sentence 4
( C. Sentence 2
( D. Sentence 3
No links.
Answers
Answer:
Step-by-step explanation:
I’m doing this too right now and can’t figure it out
The answer is A. Sentence 1
Can you help me I have a basketball game Tuesday and if I don’t pass I can’t play plz !!
Answers
========================================================
Explanation:
Angles A and B are supplementary which mean they combine to form a straight line. This further means the angles add to 180.
A+B = 180
(8x-27) + (4x+3) = 180
(8x+4x) + (-27+3) = 180
12x-24 = 180
12x = 180+24
12x = 204
x = 204/12
x = 17
Use this x value to find angles A and B
A = 8x-27 = 8*17-27 = 109B = 4x+3 = 4*17+3 = 71Note how A+B = 109+71 = 180 to help verify the answer.
Answer:
109
Step-by-step explanation:
supplementary angles equals 180 degrees
8x-27+4x+3=180
12x-24=180
12x=204
x=17
Then you put the 17 where the x is
8(17)-27=109
Can someone explain the concept of conversion tables to me? I don't understand how to use them, (mainly because of the amount of numbers involved) and I need some help.
Answers
Answer:
Conversion tables are very important. I can help you if you let me know what unit of conversion (meters, grams, gallons, etc)
Step-by-step explanation:
1,8,27,64
find the rule and show how did you find it
Answers
Answer:
Its a cubic number formula
Step-by-step explanation:
1, 8, 27, 64, 125, 216, 343
Please HeLp 100 PoInTs + bRaNlEyIsT
Answers
Answer:
It is congruent doe to the angle side angle congruence thereom AKA ASA
Step-by-step explanation:
That means there are two angles and one side in between. A pair of triangles that follow this rule has an angle that is congruent to one angle. Then a side that has a tick mark after the angle must match another. Then the last angle has to match another angle ( and it can't be the same angle as before). Usually the first pair angles have 1 semicircle and the second pair has 2 semicircles.
Directions: Solve for x, then find each angle measure
Answers
Answer:
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°
so
9x + 3 + 11x - 21 + 5x - 2 = 180
25x = 180 - 3 + 21 + 2
25x = 200
x = 200 : 25
x = 8
----------------
E = 9 * 8 + 3 = 75°
D = 5 * 8 -2 = 38°
F = 11 * 8 - 21 = 67
-------------------------
check
75 + 37 + 67 = 180°
The required simplified value of the x is 8, as of the given condition.
A figure of the triangle is given, from the measures of the angle we have to determine the value of the x.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As for the property of a triangle, the sum of the angle is 180,
5x - 2 + 11x -21 + 9x + 3 = 180
25x -20 = 180
25x = 200
x = 8
Thus, the required simplified value of the x is 8.
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Use the distributive property to
expand the expression below.
6(2a – 3) = [?]a - [ ]
Answers
Answer:
12a - 18
Step-by-step explanation:
6 x 2 = 12 (then add the "a" = 12a
6 x 3 = 18
put the minus in the middle then get
12a- 18
I need help with this what is 4x58
Answers
Answer:
232
Step-by-step explanation:
4*58=232
What happens if I find the sum of two even numbers
Answers
I don't know what you mean by this but you'll just get a value larger than the two sums that you added
5 + 7 = 12
3 + 4 = 7
Answer:
The sum will always be even
Step-by-step explanation:
Consider the line y = 3/5x + 4.
Find the equation of the line that is parallel to this line and passes through the point left (- 5,-1)
Answers
Answer:
y=3/5x + 2
Step-by-step explanation:
y-(-1)=3/5(x-(-5))
y+1=3/5(x+5)
5y+5=3x+15
5y=3x+10
y=3/5x+2
Suppose a candy bar weighs ounces. How much does a pack of bars weigh?
Answers
Answer: it ways ounces?????????????
Step-by-step explanation:
The table shows the total amounts y (in thousands of dollars) of money a homeowner saves on electric bills x years after installing solar panels.
a. Write an equation that models the total amount of money saved as a function of the number of years after the solar panels were installed.
y = _______
b. Interpret the slope and y-intercept of the line of fit.
Answers
The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.
A linear equation is given by:
y = mx + b
where y, x are variables, m is the rate of change, b is the initial value of y (y intercept).
Let y represent the total money in thousand dollar saved for x years.
Taking the points (0, -12) and (20, 20).
The equation is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-12)=\frac{20-(-12)}{20-0} (x-0)\\\\y+12=1.6x \\\\y=1.6x-12[/tex]
The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.
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Please help. Been stuck on this for days.
Answers
Answer:
At least 8.333 km/hr
Step-by-step explanation:
Using the inequality setup, we have
5/r + 1.25 + .75 + .9 ≤ 3.5
5/r ≤ .6
5 ≤ .6r
r ≥ 25/3 = 8.333
Determine the range of the following graph:
Answers
Answer:
5,_5,5,
_8,_3,5,
Step-by-step explanation:
from 5 u get _8,from _5 you get _3 and so on
Find the quotient: 8,441 ÷ 21 = ________. (1 point)
400 r 12
400 r 20
401 r 12
401 r 20
Pls Help ASAP!!! Thank you!!
Answers
Answer:
401 r 20
Step-by-step explanation:
the ratio of calamansi and pomelo trees in jacintos farm is 8:5. how many trees of each kind are there if there are 793 trees in his farm?
Answers
The number of trees calamansi have is 488 trees. The number of tree pomelo trees have in Jacintos farm is 305 trees
From the given information, we learnt that:
The ratio of the calamansi and pomelo trees in Jacintos farm = 8:5
If the total number of the ratio = 8 + 5 = 13
The proportion of the calamansi can be estimated as:
= (8/13) × 793
= 488 trees
The proportion of pomelo trees is:
= (5/13) × 793
= 305 trees
Therefore, we can conclude that the number of trees calamansi have is 488 trees and the number of tree pomelo trees have in Jacintos farm is 305 trees.
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There are 488 calamansi trees
There are 305 jacintos trees
Let x represent the number of calamansi trees
Let y represent the number of Pomelo trees
8 +5= 13
793/13
= 61
8(61)= 488
5(61)= 305
Hence there are 488 calamansi trees and 305 jacintos trees
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helpppppp mememeememememememememeemem
Answers
Answer:
Step-by-step explanation:
1.
area of triangle=1/2×12×5=30 in²
2.
obtuse scalene triangle.
Answer:
Step-by-step explanation:
1/2×12×5=30 in²
obtuse scalene triangle
The number of board games cannot be negative. Write this constraint.
The number of role-playing games cannot be negative. Write this constraint
Answers
Step-by-step explanation:
回答 你今天在做什么 我父亲是一个地球仪 并将其邮寄给今日印度的中央政府组 为年轻人提供在线学习 答案是肯定的 我不确定你是否
SOMEONE HELP MEEEEE PLEASEEEEE
Answers:
A.(1.5,0.75)
B.(1.75,0.5)
C.(0.75,1.5)
D.(1.5,1.75)
Answers
D is the answer, not A
HURRY! THIS IS OVERDUE!
Pls help! I will mark brainliest!! No links, no stealing points, and only correct answers!!! I will report nonsense answers!!!
In which table does y vary directly with x?
Answers
Answer:
Answer is D
Step-by-step explanation:
The equation for D is y = x · 4
X | Y
1 · 4 = 4
2 · 4 = 8
3 · 4 = 12
So Y varies directly with x in table D
Mona needs to photocopy a 14.5 centimeters wide by 15 centimeters long picture. She wants to enlarge the picture so that its length will be 45 centimeters. How wide will the enlarged picture be? 46.6 cm 43.5 cm 135 cm 44.5 cm
Answers
Answer:
43.5 cm
Step-by-step explanation:
The original photocopy's length is 15 cm. If Mona enlarges the photo's length to be 45 cm, we would need to find how much 15 is multiplied by to get 45, so that we can multiply 14.5, the width, by the same amount.
45/15 = 3
14.5 * 3 = 43.5 cm
Answer:
43.5
Step-by-step explanation:
A 10-year-old and a 5-year-old both eat similar-sized apples. Which child burns the energy faster?
Answers
Answer:
10 year old
Step-by-step explanation:
because the 10 year old has a better developed body than a 5 year old.
Hope this helps, have a nice day/night! :D
Using partial quotients to solve 604 ÷ 5, which is the best choice for the first number to be subtracted from 604?
500
5
5,000
50
Please be quick
Answers
Answer:
500
Step-by-step explanation:
Umm I dont know how to explain but im 100% sure
I got it right on my quiz so...
Answer: 500
Step-by-step explanation:
the first one
what is the equation in slope intercept form of the line that has a slope of -7 and y intercept of 3/11
Answers
Answer:
y = -7x + 3/11
Step-by-step explanation:
What are complex integers ?
Answers
Answer:
In mathematics, a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol, called the imaginary unit, that satisfies the equation i² = −1. Because no real number satisfies this equation, i was called an imaginary number by René Descartes.
Step-by-step explanation:
Complex Integer
(or Gaussian integer), a number of the form a + bi, where a and b are integers. An example is 4 – 7i. Geometrically, complex integers are represented by the points of the complex plane that have integral coordinates.
Complex integers were introduced by K. Gauss in 1831 in his investigation of the theory of biquadratic residues. The advances made in such areas of number theory as the theory of higher-degree residues and Fermat’s theorem through the use of complex integers helped clarify the role of complex numbers in mathematics. The further development of the theory of complex integers led to the creation of the theory of algebraic integers.
The arithmetic of complex integers is similar to that of integers. The sum, difference, and product of complex integers are complex integers; in other words, the complex integers form a ring.
Answer:
An immediate consequence of the definition of arithmetical operations on complex numbers is that the sum, the difference, and the product of two or more complex numbers.
Step-by-step explanation:
Can someone please help me!!
Q; write the sentence as an equation. 251 is equal to 130 added to q
Answers
Answer:
251 = 130 + q
This is d equation
Answer:
251 = q + 130
Step-by-step explanation:
251 is equal to 130 added to q,
→ 251 = q + 130
Let's solve the equation,
→ 251 = q + 130
→ q = 251 - 130
→ [ q = 121 ]
So, the answer is 121.
Which number is both a factor AND a multiple of 4? 1,2,4,8
Answers
Answer:
1,2,4,
Step-by-step explanation:
3 divied \frac{3}{4}[/
Answers
Answer:
The answer is 4
Step-by-step explanation:
I did it and got it right
Please mark me as brainly
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If x = 5y - 1 and 3x + 5y = -43, what is the value of y?
Answers
Answer:
y is the value of 1
Step-by-step explanation:
no need for one
Answer:
y = - 2
Step-by-step explanation:
Substitute x = 5y - 1 into the other equation
3(5y - 1) + 5y = - 43 ← distribute parenthesis and simplify left side
15y - 3 + 5y = - 43
20y - 3 = - 43 ( add 3 to both sides )
20y = - 40 ( divide both sides by 20 )
y = - 2
A researcher is following the growth of a particular type of flower. She writes the given equation to show the height of the flower g(n), in inches, after n days.
g(n) = 10(1.02)n
What does the average rate of change of the function represent?
A.
the number of days flower grew
B.
the average height of the flower after 5 days
C.
the average growth of the flower from day 1 to day 5
D.
the average time it takes for the flower to grow from 1-5 inches
Answers
The expression given represents an exponential growth relation. The average rate of change is the average growth of the flower from day 1 to days 5
The rate of change of the flower can be deduced frommthe equation as :
1.02 - 1 = 0.02Hence, the growth rate of the flower per day = 0.02
The number of days, n = 5
Therefore, the average growth rate is the average growth of the flower within the number of days given.
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Answer:
C
Step-by-step explanation:
I got it right