Triangle JKL with vertices /(1, -1), K(2, 3), and
L(3,-2) in the line x = 4.
.ب)J
K'.
L'(_
(

Triangle JKL With Vertices /(1, -1), K(2, 3), AndL(3,-2) In The Line X = 4..)JK'.L'(_(

Answers

Answer 1

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 an equation of the line that passes through the point (-1,-6) and is perpendicular to the line x+6y=6

Answers

Answer:

Well x + 6y = 6 can be written 6y = -1x + 6 or y = (-1/6)x + 1. Any line perpendicular to this line will have a slope that is the multiplicative inverse of -1/6 which is +6

So the line passing through( -1,-6) having slope 6 is (y - -6) / (x - -1) = 6 or…………..(y + 6) / (x + 1) = 6 and multiplying both sides by x + 1 gives y+6 = 6(x + 1) and finally subtracting 6 we have y = 6(x+1) - 6 or y = 6x + 0.

This turns out to be a line that passes through the origin having slope 6/1

Step-by-step explanation:

A right rectangular prism whose surface area and volume are numerically equal has edge lengths $\log_2 x$, $\log_3 x$, and $\log_4 x$. What is $x

Answers

The value of [tex]x[/tex] is 29.

The formulae for the surface area ([tex]A_{s}[/tex]) and volume ([tex]V[/tex]) are, respectively:

[tex]A_{s} = 2\cdot (h\cdot l + w\cdot l + h\cdot w)[/tex] (1)

[tex]V = w\cdot h \cdot l[/tex] (2)

Where:

[tex]w[/tex] - Width.[tex]h[/tex] - Height.[tex]l[/tex] - Length.

According to the statement, we must equalize (1) and (2) and substitute the remaining variables:

[tex]2\cdot (h\cdot l + w\cdot l + h\cdot w) = w\cdot h\cdot l[/tex]

[tex]2\cdot h\cdot l + 2\cdot w \cdot l + 2\cdot h\cdot w = w \cdot h \cdot l[/tex]

[tex]2\cdot \log_{2}x\cdot \log_{4}x+2\cdot \log_{3}x\cdot \log_{4}x+2\cdot \log_{2}x\cdot \log_{3}x = \log_{2}x\cdot \log_{3}x\cdot \log_{4}x[/tex]

By applying logarithm properties, we simplify the expression:

[tex]2\cdot \log_{2}x\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right) + 2\cdot \left(\frac{\log_{2}x}{\log_{2}3} \right)\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right) + 2\cdot \log_{2}x\cdot \left(\frac{\log_{2}x}{\log_{2}3} \right) = \log_{2}x \cdot \left(\frac{\log_{2}x}{\log_{2}3} \right)\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right)[/tex]

[tex]2\cdot \left[\frac{1}{\log_{2}4}+\frac{1}{\log_{2}3\cdot \log_{2}4}+\frac{1}{\log_{2}3}\right] = \left(\frac{1}{\log_{2}3\cdot \log_{2}4} \right)\cdot \log_{2}x[/tex]

[tex]2\cdot \left(\frac{\log_{2}3+\log_{2}4+1}{\log_{2}3\cdot \log_{2}4} \right) = \left(\frac{1}{\log_{2}3 \cdot \log_{2}4} \right)\cdot \log_{2}x[/tex]

[tex]\log_{2}x = 2\cdot (\log_{2}3 + \log_{2}4+1)[/tex]

[tex]\log_{2}x = \log_{2}9 + \log_{2}16 +2[/tex]

[tex]x = 9 + 16 + 4[/tex]

[tex]x = 29[/tex]

The value of [tex]x[/tex] is 29.

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Nota - The statement of this question presents typing mistakes and is also incomplete, the corrected form is presented below:

A right rectangular prism whose surface area and volume are numerically equal has edge lengths [tex]\log_{2} x[/tex] (height), [tex]\log_{3}x[/tex] (width) and [tex]\log_{4}x[/tex] (length). What is [tex]x[/tex]?

Find the perimeter. Simplify your answer.

Answers

Answer:

2p -2

Step-by-step explanation:

To find the perimeter, add up all the lengths of each side of the rectangle.

Perimeter

= 2 +2 +p -3 +p -3

= 2 +2 -3 -3 +p +p

= -2 +2p

= 2p -2

Graph the function
g(x)=10×3/5​

Answers

Answer:

It is a horizontal line through y-coordinate 6.

Step-by-step explanation:

Because 10*3/5=6.

Solve for the variable in the following proportion.

1/4 is to 1 1/4 as 2 is to b
B =

Can someone give an explanation?

Answers

Answer:  b = 10

Step-by-step explanation:

We want a ratio of b/2 that is equal to the ratio of 1/4 to 1 1/4 (or 5/4).

Ratio of (1/4)/(5/4):

(1/4)/(5/4) = (1/4)*(4/5) = 4/20 = 1/5 or 0.2

We want 2/b = 1/5 or 0.20

2/b = 0.20

b = 2/0.20

b = 10

--

Check:  Does 10/2 = (1/4)/(5/4)?

Yes

b is 10

Name the congruent triangles.

Answers

Answer:

ΔFOX ≅ΔBXO

Step-by-step explanation:

Triangles that has the Same size and shape

A watch company estimates that the profit (in peso)
for selling a particular model is given by
P(x)=4x^3-31x^3-10058x+158040 for 0 < x < 50
where x is the advertising expense (in tens of thousands of pesos).

What kind of polynomial is described by the equation?

A.quadratic
B.constant
C.cubic
D.quintic

I need an answer right now thank you.

Answers

The leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial

The standard form of a polynomial expression is written as:

[tex]a_nx^n+ a_{n-1}x^{n-1}+ a_{n-2}x^{n-2}+...[/tex]

A polynomial function has a leading degree that is greater than 2;

Given the polynomial function

[tex]P(x)=4x^3-31x^3-10058x+158040[/tex]

From the given polynomial, the leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial

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(X-2)(x+1)

Expand and siplify

Answers

[tex]\\ \sf\longmapsto (x-2)(x+1)[/tex]

[tex]\\ \sf\longmapsto x(x+1)-2(x+1)[/tex]

[tex]\\ \sf\longmapsto x^2+x-2x-2[/tex]

[tex]\\ \sf\longmapsto x^2-x-2[/tex]

arsene wenger pushes a box with a force of 60N over a distance 10m calculate the work done

Answers

Answer:

600J

Step-by-step explanation:

work done = force x distance

                  = 60 x 10

                  = 600J

The workdone by arsene wenger in joules is 600J

What is workdone?

Work doneis defined as product of the force and the distance over which the force is applied. It is a scalar quantity and it is measured in Joules.(J)

Workdone is expressed as;

Workdone = f × d

where do is the force and d is the distance.

The force he uses on the box is 60N and the distance he pushes the box is 10m. All quantities in their SI unit.

Therefore, the workdone by arsene wernger is

W = 60 × 10

W = 600J

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#SPJ3

Help please I really don’t understand due in 2 days

Answers

Answer:

-3 ≤ x < 2

Step-by-step explanation:

Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for the area of the enclosed space is A = lw + 0.5bh. Solve for b.

Answers

Answer:

You need more information for this question to be solved.

Step-by-step explanation:

Are any of the variables given?

Explaining it thoroughly and you will be mark as Brainiest…

Answers

Answer: It says it right there

Step-by-step explanation:

create a video explaning

Evaluate -24=(-6)-(-18).

Answers

Answer:

−24= 12

Step-by-step explanation:

Answer:

-2=1

Step-by-step explanation:

-24=(-6)-(-18)

-24=(-6)+18

-24=12

-24/12 = 12/12

-2=1

(2 negatives make a positive)

Pls hurry and no links

Answers

Answer:

-20.5

-8

4.5

17

Step-by-step explanation:

y = 2.5x - 8

x = -5

y = 2.5(-5) - 8

y = -12.5 - 8

y = -20.5

x = 0

y = 2.5(0) - 8

y = 0 - 8

y = -8

x = 5

y = 2.5(5) - 8

y = 12.5 - 8

y = 4.5

x = 10

y = 2.5(10) - 8

y = 25 - 8

y = 17

Which equation has no solution?
A.

B.

C.

D.

Answers

Answer:

  C.

Step-by-step explanation:

The equation will have no solution if it reduces to the form ...

  1 = 0

Other possible forms are ...

  0 = 0 . . . . infinite solutions

  y + c = 0 . . . . one solution

___

The given equations can be reduced to one of these forms by subtracting the right-side expression from both sides.

  A. 2.3y +2 +3.1y -(4.3y +1.6 +1.1y +0.4) = 0   ⇒   0 = 0   (infinite solutions)

  B. 32x +25 -21x - 10x = 0   ⇒   x +25 = 0   (one solution)

 C. 5/8x +2.5 -(3/8x +1.5 +1/4x) = 0   ⇒   1 = 0   (no solutions)

  D. 1/3 +1/7y -3/7y = 0   ⇒   y -7/6= 0   (one solution)

Hello, ive been having issues with a quite easy topic. Slopes of lines? I dont really know how to solve this.

Answers

you would count the amount of squares going up then count the squares going horizontal, so then it would be 5/3 hole this helps:)

rewrite 4x+2y=20 so that y is a function of x

Answers

Answer:

y=-2x+10

Step-by-step explanation:

What is the length of the major axis of 7(x+2)^2+2(y-2)^2=49?

Answers

Answer:

2a=7[tex]\sqrt{2}[/tex] or 7/2

Step-by-step explanation:

hope thats right

what number is 5 times greater then 6

Answers

Answer:

if you are talking about 5x6 then the answer would be 30 but if not please clarify :)

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

6x5=30 so I believe the answer to your question to be 30

point (3,4) what is the point after the transformations?

rotation 180° around origin
reflection over the y axis
translate 3 up and 2 left​

Answers

Answer:

in the picture

hope this helps! :D

(12a-9b+7)+(2a-3b-14)

Answers

Answer:

14a - 12b - 7

Step-by-step explanation:

remove the parentheses

12a - 9b + 7 + (2a - 3b - 14)

collect like terms

14a - 9b + 7 - 3b - 14


solution

14a - 12b - 7

The polynomial x^3 + 8 is equal to?

Answers

Answer:

The polynomial x3 + 8 is equal to (x + 2)(x2 - 2x + 4).

100 points plus brainiest to right answer.

Answers

Answer:e d

Step-by-step explanation:

Please help me! my teacher didn't teach me this!!

Answers

Answer:

skew

skew

parallel

parallel

Step-by-step explanation:

First see the below figure to understand parallel and skew lines

As you can see parallel lines lie on the same plane

skew lines lie on different plane and do not intersect

1)AB and GF

AB lies on ABCD plane

GF lies on EFGH plane

and they will never meet / intersect

so skew

2)DH and BF

DH lies on ADHE plane

BF lies on BCGF plane

they seem parallel but they are on different plane, so skew

3)EF and HG

EF and HG both lie on the same plane EFGH

and they both are parallel

4)for this see the second picture

both these planes are parallel

Hope this helps!

find the common denominator
7/8
3/10
7/10
2/3

Answers

Answer:

240

Step-by-step explanation:

To find a common denominator, you have to find a number that is a multiple of all the denominators there. So with 240, 240 divide 3 is 80, so that's a multiple, 240 divide 8 is 30, so that is also a common multiple, and 240 divide 10 is 24, so that is also a common multiple.

Which statement about the lines below is true?
4y = -16 and 3x = 27
Select all that apply.
A Line 4y = -16 is horizontal.
B. Line 3x = 27 is vertical.
O
C. For both lines, all points on the line have an x- and a y-coordinate.
D. For either line, one of the coordinates of all the points is always the same value.

Answers

Answer:

All these statements are true.  See explanations, below.

Step-by-step explanation:

A Line 4y = -16 is horizontal.  TRUE.  Note that y = -4 here.

B. Line 3x = 27 is vertical.  TRUE.  Note that x = 9, which is a vertical line.  

C. For both lines, all points on the line have an x- and a y-coordinate.  TRUE.  But for 4y = -16, the y-coordinate is always the same:  -4; for x = 9, the x-coordinate is always the same.

D. For either line, one of the coordinates of all the points is always the same value.  TRUE (See C above)

if i can get 3 snapple Iced tea. and its 3 for $6 How would it be if i get 2 snapple Iced tea?

explain

Answers

Answer:

4 dollars for 2 drinks (2 dollars for 1 drink)

Step-by-step explanation:

Okay, so you can get 3 snapple drinks from 6 dollars. and you want to know the cost of 2 snapple drinks.

3 ÷ 6 = 2

So 1 drink is 2 dollars, if you wanted to buy 2 drinks the cost would be 4 dollars! Have a great day friend! :D

Answer:

$4

Step-by-step explanation:

If 3 Snapple Iced teas cost $6, we can divide 6 by 3 to find the cost for one.

6/3 is 2 and 2 * 2 is 4, so 2 Snapple Iced teas would cost $4.


At the craft store, Patty bought a bag of yellow and brown marbles. The bag contained 85
marbles, and 60% of them were yellow. How many yellow marbles did Patty receive?

Answers

Answer:

51 yellow marbles

Step-by-step explanation:

60% of 85 can be found by multiplying 85 and 0.6 to get 51

Answer:

i got 51 marbles! simple.

GIVING BRAINLIEST!!!!!!!!

Answers

[tex]\red{\bold{Answer:}}[/tex]

The Inverse variation of the total stopping distance and the force of the pavement to determine the speed the car travelling.

#BrainlyFast

#CarryOnLearning

(≡^∇^≡)

si el largo de un rectangulo es 2 cm más que el ancho y tiene un perimetro de 52 cm cual es el largo y cual es el ancho?

Answers

Answer:

ancho: 12 cm

Largo: 14 cm

Step-by-step explanation:

[tex]P=2a+2l[/tex]

[tex]l=a+2[/tex]

[tex]P=2a+2(a+2)=2a+2a+4[/tex]

[tex]P=4a+4[/tex]

[tex]52=4a+4[/tex]

[tex]52-4=4a[/tex]

[tex]48=4a[/tex]

[tex]48/4=a[/tex]

[tex]12=a[/tex]

largo = ancho + 2 = 12 +12 = 14 cm

Hope this helps

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