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
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
(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]
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
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
100 points plus brainiest to right answer.
Answers
Answer:e d
Step-by-step explanation:
Hello, ive been having issues with a quite easy topic. Slopes of lines? I dont really know how to solve this.
Answers
Help please I really don’t understand due in 2 days
Answers
Answer:
-3 ≤ x < 2
Step-by-step explanation:
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)
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?
(12a-9b+7)+(2a-3b-14)
Answers
Answer:
14a - 12b - 7
Step-by-step explanation:
12a - 9b + 7 + (2a - 3b - 14)
collect like terms
14a - 9b + 7 - 3b - 14
solution
14a - 12b - 7
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
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!
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
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]?
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
rewrite 4x+2y=20 so that y is a function of x
Answers
Answer:
y=-2x+10
Step-by-step explanation:
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:
Name the congruent triangles.
Answers
Answer:
ΔFOX ≅ΔBXO
Step-by-step explanation:
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)
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.
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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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)
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.
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
(≡^∇^≡)
The polynomial x^3 + 8 is equal to?
Answers
Answer:
The polynomial x3 + 8 is equal to (x + 2)(x2 - 2x + 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.
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
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
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.
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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