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
What is the
leasure of Z?
x
У
4.
9
Z=
=
= [?]V
Give your answer in simplest form.
Answers
Answer:
z = 3√13
Step-by-step explanation:
The length of z is the geometric mean of the segments of the longest side that share a common point with z. The shorter of those is 9; the longer one is 4+9 = 13. Then ...
z = √(9(13))
z = 3√13
__
Additional comment
In like fashion, ...
x = √(4(13)) = 2√13y = √(4·9) = 6.__
These relations come about because all of these right triangles are similar. That means their side lengths are proportional.
long side/hypotenuse = z/13 = 9/z ⇒ z = √(9·13)
short side/hypotenuse = x/13 = 4/x ⇒ x = √(4·13)
short side/long side = 4/y = y/9 ⇒ y = √(4·9)
A line that includes the points ( – 4, – 6) and (5,v) has a slope of – 2/9 . What is the value of v?
Answers
Answer:
v is -8
Step-by-step explanation:
The form of a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We are given the slope, so let's write:
y = -(2/9)x + b
We can find b by using the one fully given point, (-4, -6).
y = -(2/9)x + b
-6 = -(2/9)(-4) + b
b = -6 - (8/9)
b = -(62/9)
Now we have y = -(2/9)x - (62/9)
We want the value of y when x is 5 to find v in (5,v):
y = -(2/9)x - (62/9)
y = -(2/9)(5) - (62/9)
y = -(10/9) - (62/9)
y = -(72/9)
y = -8
v is -8
pls answer. and show your solution.
Answers
Answer:
23, - 46, 57, 10, 12
Step-by-step explanation:
(a)
2x + 5 = 2(9) + 5 = 18 + 5 = 23
(b)
4x - 2 = 4(- 11) - 2 = - 44 - 2 = - 46
(c)
x² + 21 = (- 6)² + 21 = 36 + 21 = 57
(d)
[tex]\sqrt{x}[/tex] - 1 = [tex]\sqrt{121}[/tex] - 1 = 11 - 1 = 10
(e)
[tex]\frac{x}{8}[/tex] + [tex]\sqrt[3]{x}[/tex] = [tex]\frac{64}{8}[/tex] + [tex]\sqrt[3]{64}[/tex] = 8 + 4 = 12
onique bought 2 hot dogs and 1 large soda. She spent $7. Scott
bought 4 hot dogs and 1 large soda. He spent a total of $12.
What is the cost of one hot dog and one large soda?
Answers
If a 12-foot-tall object casts a 9-foot shadow, how long a shadow would a 4-foot-tall object cast at the same time and place
Answers
Answer:
I think it is 3 feet
Step-by-step explanation:
12:9 is equal to 4:3
4:? should also be equal to 4:3, so ?=3
Hope this helps
let me know if it does and if it is right
I don’t know what the answer Is
Answers
Answer:
Exact Form: x = 10/7
______
Decimal Form: x = 1.428571
Mixed Number Form: x = 1 3/7
Hope this helps, have a nice day/night! :D
If this helped please mark this as brainliest!
Answer:
In the picture
Step-by-step explanation:
Good luck!
show that 296 not not a perfect number
Answers
Step-by-step explanation:
in which the sum of all it's factor are twice of that no... factor of 296 =1,2,4,8,37........Solve for f.
1≤2–f
89 points pls help
Answers
Answer:
f ≤ 1
Step-by-step explanation:
1) Subtract 2 from both sides.
1 - 2 ≤ - f
2) Simplify 1 - 2 to - 1.
- 1 ≤ - f
3) Multiply both sides by - 1.
1 ≥ f
4) Switch Sides.
f ≤ 1
[tex]\\ \sf\longmapsto 1\leqslant 2-f[/tex]
Take 2 to right[tex]\\ \sf\longmapsto 1-2\leqslant -f[/tex]
[tex]\\ \sf\longmapsto -1\leqslant -f[/tex]
Multiply -1 on both sides
[tex]\\ \sf\longmapsto f\leqslant 1[/tex]
After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
Part B
Write an equation representing how much Tristan paid.
Part C
Write an equation representing how much Keith paid.
Part E
Solve the system you found in Part D. Did you use elimination or substitution? What was the entry fee, and how much did each ticket cost?
Part F
What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?
Answers
Answer:
Let x represents the entry fees
y represent the cost of each ticket
Gwen equation
x + 10y = 30 ... (i)
Tristan equation
x + 15y = 40 ...... (ii)
Keith equation
x + 10y = 30 .......... (iii)
By solving eq. (ii) and (iii), we get
x = 10
y = 2
Hence entry fees = $10
cost of each ticket = $2
PLEASE MARK ME AS BRAINLIEST AS IT WILL HELP ME IN ACHIEVING NEXT LEVEL.
THNX IN ADVANCE
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let x represents the entry fees
y represent the cost of each ticket
Gwen equation
x + 10y = 30 ... (i)
Tristan equation
x + 15y = 40 ...... (ii)
Keith equation
x + 10y = 30 .......... (iii)
By solving eq. (ii) and (iii), we get
x = 10
y = 2
Hence entry fees = $10
cost of each ticket = $2
Find x. Isosceles triangle theorems.
Answers
Answer:
x = 70°Step-by-step explanation:
If two sides of a triangle are congruent, then angles opposite those sides are congruent.
the sum of the interior angles in a triangle is 180°
(180 - 40) : 2 =
70
x = 70°
----------------------------
check
70 + 70 + 40 = 180°
the answer is good
There are 50 sheets of scrapbook paper in a pack, and 20% of them are striped. How many sheets of scrapbook paper are striped? Pick the model that represents the problem. How many sheets of scrapbook paper are striped?
Answers
Answer:
10 sheets of paper are striped
Step-by-step explanation: Make a proportional relationship.
20% as a fraction is 20/100
Make 50 into a fraction using a variable. For example, x/50
Cross multiply 20 and 50. That equals 1000.
Then divide 1000 by 100 and that equals 10. So 10 sheets of paper are striped.
Hope this helps!
Determine the corresponding general form of each of the following vertex form
1. y = (x– 1)2
A. y = x2+ x + 1
B. y = x2 – 2x – 1
C. y = x2 – 2x + 1
2. y = (x + 4)2– 5
A. y = x2+ 8x – 11
B. y = x2+ 8x – 21
C. y = x2+ 8x + 21
3. y = -(x + 9)2– 10
A. y = -x2– 18x + 91
B. y = -x2– 18x – 91
C. y = -x2– 18x – 71
4. y = 3(x + 2)2– 18
A. y = 3x2+ 12x – 6
B. y = 3x2+ 12x + 6
C. y = 3x2+ 12x – 14
5. y = -2(x + 1)2– 16
A. y = -2x2– 4x – 18
B. y = -2x2– 4x – 2
C. y = -2x2– 4x – 14
6. y = 5(x + 5)2
A. y = 5x2+ 50x + 125
B. y = 5x2+ 50x + 25
C. y = 5x2+ 25x + 125
7. y =1/2(x + 8)2– 8
A. y = 1/2x2 + 8x + 24
B. y= 1/2x + 8x – 40
C. y = 1/2x2 + 16x + 24
8. y = (x + 3/2)2 + 3/4
A. y = x2+ 3x + 2
B. y = x2 + 6/4x + 12/16
C. y = x2 + 3x + 3
9. y = 2(x + 8)2– 5x
A. y = 2x2 + 32x + 59
B. y = 2x2 + 27x + 128
C. y = 2x2+ 37x + 64
10. y = -5(x – 4)2+ 15
A. y = -5x2+ 40x – 65
B. y = -5x2 – 40x – 65
C. y = -5x2+ 40x + 65
Answers
Answer:
Step-by-step explanation:
(a + b)² =a² + 2ab + b²
(a -b)² = a² - 2ab + b²
1) y = (x -1)²
y= x² - 2*x*1 + 1
y = x² - 2x + 1
Ans: C
2)y = (x +4)² + 5
y = x² +2*x*4 + 4² + 5
= x² + 8x + 16 + 5
y = x² + 8x + 21
C
3) y = -(x + 9)²- 10
y = - [x² + 18x + 81] - 10
= -x² - 18x - 81 - 10
y =-x² - 18x - 91
B
4) y = 3(x + 2)² - 18
y =3 [x² + 4x + 4] - 18
y = 3x² + 12x + 12 - 18
y =3x² + 12x - 6
A
5) y = -2(x + 1)² - 16
= -2[x² + 2x + 1] -16
= -2x² - 4x - 2 - 16
y = -2x² - 4x - 18
A
6) y = 5(x + 5)²
=5[x²+ 10x + 25]
y = 5x² +50x + 125
A
7)y = (1/2)(x + 8)² - 8
y = (1/2) (x² + 16x + 64) - 8
[tex]y = \dfrac{1}{2}*x^{2}+ \dfrac{1}{2}*16x + \dfrac{1}{2}*64 -8\\\\\\y =\dfrac{1}{2}x^{2}+8x +32 - 8\\\\\\y=\dfrac{1}{2}x^{2} +8x + 24[/tex]
A
8) y = (x + 3/2)² + 3/4
[tex]y = x^{2} +2*x*\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\y=x^{2}+3x+\dfrac{12}{4}\\\\\\y=x^{2}+3x + 3[/tex]
C
9) y = 2[x² + 16x + 64] - 5x
y = 2x² + 32x + 64 - 5x
y =2x² + 27x + 6
please help me with this 2
Answers
3/8 rounded to the nearest thousand
Answers
19/50
llllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
[plz help 20 points
i really need help.
Answers
Answer:
its A
Step-by-step explanation:
what would the answer be
Answers
Answer:
60
Step-by-step explanation:
Plsss some one help with this
Answers
Answer:
the answer is c and the entire equation means that the tickets each cost $15 and the service fee is $12
2x+5+2x+3x in One sloution, and no solution.
Answers
- BRAINLIEST answerer
The selling price of an item is $550 it’s marked down by 20% but the sale price is still marked up from the cost of $400 find the markup from cost to sale price
Answers
Solution: from the given information we can know the selling price now is $550(1-20%)= so the markup from cost to sale price is 440=40
Find the inverse function in slope-intercept form (mx+b):
f(x) = -x - 5
Answers
Answer:
In order to find the inverse of a function, we flip it over the line y=x, or we switch the x and y values in the equation and solve it for y. So let's do the latter:
m(x) = 5x - 5
y = 5x - 5
x = 5y - 5
5y = x + 5
y = (x + 5)/5
Step-by-step explanation:
hope this is helpful
Answer: f ^−1(x)=x+5
PLEASE HELP
Find the current value of a car bought for new at $18300 which depreciates at 8% per annum over 4 years
Answers
Answer:
12, 444
Step-by-step explanation:
•First find out what is 8% of 18300
=8\100 ×18300\1 = 146400\100 =1464. [\ means ÷]
• Next multiply 1464 by 4 years =5,856
•Finally calculate 18300- 5856 = 12,444 (we are saying 18300 - 5856 because the money
decreased & 5856 represnt 8% of 18300 in 4 years)
Note :~ Appreciation is when money increases
~Deperciation is when money decreases
Hope this helps !!!easy one - giving brainly if correct - show work.
my teacher said this was wrong so what's the correct answer? answer both!
Answers
Answer:
a = 9.6 b = 11.2
Step-by-step explanation:
10 percent of 8 is .8
8 + (8 x .1) = 8.8
8.8 + .8 = 9.6
She will be paid 9.6 dollars after 1 full year of working, because working for one year is 12 months, and thats 10 percent of 8 twice. You can also put that as 20 percent of 8, aka 1.6
When you do 8+1.6 it equals 9.6
For the second part, that is 24 months, so 10 percent of 8 4 times. .8+.8+.8+.8 = 3.2
8+3.2 = 11.2
She will be paid 11.2 dollars after 2 full years of working.
Your answer isnt wrong, I dont know why your teacher is saying it is.
Evaluate the formula χ2=
(n−1)s2
σ2 when σ=1.61, n=39, and s=3.79.
Answers
Work Shown:
[tex]\chi^2 = \frac{(n-1)s^2}{\sigma^2}\\\\\chi^2 = \frac{(39-1)(3.79)^2}{(1.61)^2}\\\\\chi^2 = \frac{38*14.3641}{2.5921}\\\\\chi^2 = \frac{545.8358}{2.5921}\\\\\chi^2 \approx 210.57667528259\\\\\chi^2 \approx 210.577\\\\[/tex]
FOR
Equatus
Solve THIS systim of
4x + 5y = 8
= 8
+
4x = 6-5y
Answers
Answer:
no solutions
Step-by-step explanation:
4x+5y=8
-4x+5y=6
0=2
no solutions
hidden valley motel 32 feet long
Answers
Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.
Answers
Answer:
15
Step-by-step explanation:
STRUCTURE Gustavo sets up tables for a caterer on weekends. Each round table can seat 8 people. Each rectangular table can seat 10 people. One weekend, his boss asked him to set up tables for 124 people. He uses 2 more round tables than rectangular tables. Write a system of equations to find the number of round tables and rectangular tables Gustavo used. Then graph the system on a separate sheet of paper to solve the system.
Answers
Gustavo used 8 round tables and 6 rectangular tables.
Since Gustavo sets up tables for a caterer on weekends, and each round table can seat 8 people while each rectangular table can seat 10 people, and one weekend, his boss asked him to set up tables for 124 people, and he uses 2 more round tables than rectangular tables, to find the number of round tables and rectangular tables Gustavo used the following calculation must be performed:
10 x 8 + 8 x 10 = 160 8 x 8 + 6 x 10 = 124
Therefore, Gustavo used 8 round tables and 6 rectangular tables.
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If x=4 then 2(x-4) equals
Answers
Now, according to PEMDAS, solve inside the parentheses first: 2(0)
Lastly, we can multiply: 2 x 0 = 0
Answer:
0
Step-by-step explanation:
Need to plug in the x to the 4 then u get 2(4-4)
After that it will equal to 0 the 4-4
2(0)=0
What is the final amount if 2024 is increased by 17% followed by a 15% decrease? Give your answer rounded to 2 DP.
Answers
Answer:
2059.20
Step-by-step explanation:
2024 increased by 17% is
2024 * 1.17 = 2368.08
2368.08 reduced by 15% is
2368.08 ÷ 1.15 = 2059.20
Seven times the sum of a number and three is equal to four times the number, decreased by eight. If X represents the number, which equation is correct
A- 7(X + 3) = 4X - 8
B- 7(X + 3) = 4(X - 8)
C- 7X + 3 = 4X - 8
Answers
Answer:
A. 4(x + 3) = 4x - 8.
Step-by-step explanation: