Given a triangle JLM with vertices J(-4,3), L(-2,7), and M(2,7). What would the coordinates be if it was reflected across the line y=1?

Answers

Answer 1

Answer: M'(2, - 5), L'(-2, -5), j'(-4, - 1)

Step-by-step explanation:

When we do a reflection over a given line, the distance between all the points (measured perpendicularly to the line) does not change.

The line is y = 1.

Notice that a reflection over a line y = a (for any real value a) only changes the value of the variable y.

Let's reflect the points:

J(-4, 3)

The distance between 3 and 1 is:

D = 3 - 1 = 2.

Then the new value of y must also be at a distance 2 of the line y = 1

1 - 2 = 1

The new point is:

j'(-4, - 1)

L(-2, 7)

The distance between 7 and 1 is:

7 - 1 = 6.

The new value of y will be:

1 - 6 = -5

The new point is:

L'(-2, -5)

M(2,7)

Same as above, the new point will be:

M'(2, - 5)


Related Questions

In order to become a member of the library-all-star-members club, there is a $40 sign-up fee and a $2monthly fee. Write an equation in slope- intercept form that models this situation​

Answers

Answer:

y = 2x + 40

Step-by-step explanation:

Y is the total cost.

2 is dollars per month.

X is the number of months.

40 is the sign up fee.

Answer:

2x+40

Step-by-step explanation:

what is 4x +9 in a verbal expression?

Answers

Answer:

four times a number plus nine

Step-by-step explanation:

Jill babysat for 7 1/2 hours and earned $63.75. How much money does she earn per hour?​

Answers

Answer:

$8.50 per hour

Step-by-step explanation:

63.75 / 7.5 = 8.5

evaluate x2+x-12÷y2 for x = 5 and y =2​

Answers

Answer:

3

Step-by-step explanation:

An item is priced at $14.07. If the sales tax is 5%, what does the item cost including sales tax?

Answers

Answer:

14.77

Sale Tax: 5.00% or $0.70

Answer:

14.12

Step-by-step explanation:

0.05 is also known as 5%

14.07+0.05=14.12

Calcule o valor de x, sabendo que as retas “e” “f” e “a” são paralelas
a)36
b)37
c)37,5
d)38

Answers

Answer:

c

Step-by-step explanation:

[tex]\frac{x}{25}=\frac{60}{40}\\\\By\:Thales's\:Theorem\\\\x=\frac{60*25}{40}\\\\x=\frac{60*5}{8}\\\\x=\frac{15*5}{2}\\\\x=\frac{75}{2}\\\\x=37.5[/tex]

Solve the following inequality:

4(x - 6) < 3x + 13

Answers

Answer:

x < 37

Step-by-step explanation:

4(x - 6) < 3x + 13

Distribute

4x -24< 3x+13

Subtract 3x from each side

4x-3x -24 < 3x+13-3x

x-24 < 13

Add 24 to each side

x-24+24 <13+24

x < 37

Step-by-step explanation:

4(x-6) <3x+13

4x-24<3x+13

CLT

4x+3x<13-24

7x<-11

x= -11/7

Verify the following: 3

−21 × −4 + −6 = −21 × −4 + (−21) × (−6)​

Answers

Answer:

the answer is -14 how about

study math next time

Answer:

Incorrect

Step-by-step explanation:

Use PEMDAS

Solve one side of the equation first

-21 × -4 + - 6

negative × negative = positive

84 + - 6

positive + negative = negative

84 - 6

78

Now solve the other side of the equation

-21 × -4 + (-21) × (-6)

negative × negative = positive

-21 × -4 + (126)

negative × negative = positive

84 + 126

210

Does 78 = 210?

No, so we can assume this equation is incorrect

9=4(s-3)

Help me what’s the correct answer?

Answers

Answer:

 s=5 1/4

Step-by-step explanation:

Have a wonderful day

A local pizza shop has a membership program for frequent buyers. The membership costs $10 per month and members get a discounted price of $1.75 per slice of pizza. Autumn purchased a membership to this pizza shop.What would be the monthly cost for xx slices of pizza?

Answers

Answer:

Monthly cost = $10 + $1.75x

Step-by-step explanation:

Given the following :

Membership cost = $10 per month

Discounted price for members = $1.75 per slice of pizza

If Autum purchased the membership, the monthly cost for x slices of pizza

Monthly cost of x slices will be :

Membership cost + (discounted price * number of slices)

Monthly cost = $10 + ($1.75 * x)

Monthly cost = $10 + $1.75x

need help with this​

Answers

Answer:

Slope-int form: y = 3x+5

Standard form: y - 3x = 5.

Step-by-step explanation:

(reminder: slope-intercept form is expressed as y=mx+b, and standard form is expressed as ax+bx=c.)

Since the slope is 3, the coefficient of x is also 3, which makes the equation y=3x.

But the y coordinate of the equation at x = -2 is -6, so we need to add 5 to the end of the equation, leaving you with:

y=3x+5.

To convert it to standard form, subtract 3x from both sides:

y - 3x = 5.

I hope this helped you.

If angle knm=(8x-5) and angle mnj=(4x-19) find the measure of angle knm?​

Answers

45 ahuevo que ssik 45

Find the measure of the exterior angle.
64
76

Answers

Using the exterior angles theorem, the measure of the exterior angle(k) is 140 degrees.

How to find the exterior angles of a triangle?

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

The two remote interior angles are 76 degrees and 64 degrees.

Therefore,

76 + 64 = k

k = 140 degrees.

learn more on exterior angles theorem here: https://brainly.com/question/13904180

#SPJ1

your hair is 5/16
inch long. Write this length as a decimal.

Answers

Answer:

0.3125

Step-by-step explanation:

in decimal form. Use our fraction to decimal calculator to convert any fraction to a decimal and to know if it is a terminating or a recurring (repeating) decimal.

Answer:

0.3125

Step-by-step explanation:

which angle is this??

Answers

isosceles. it has two equal sides

Answer:

acute

Step-by-step explanation:

the angles are all less than 90°

they are not equal so not equialteral

has to be acute

Help!! Please! Its algebra!!

Answers

Answer:

y - 7 = -4 ( x -2 )

Step-by-step explanation:

just use the given informations:

The base formula:

y - y(1) = m ( x -x(1) )

remember that "m" typically refers to the slope of a line

There is a given set of points on the line: (2, 7)

hence just plug in the numbers:

x(1) = 2

y(1) = 7

m = -4

and you get

y - 7 = -4 ( x -2 )

Y=-4(x-2)

hope it helps

what is 4 divided by 6

Answers

2/3 or 0.6 repeat
Pls mark me brainliest

if PQ = 5 and QR = 17 , find PR

Answers

PR would be 17.72 as the hypotenuse, according to the measurements, is 17.72

- |4x+10|-7=-14 solve for x

Answers

Answer:I forgot how to solve that

Step-by-step explanation:

What is 5280 divided by 60

Answers

Answer:

ya the answer is 88

Step-by-step explanation:

Solve sx+tx=r for x?

Answers

Answer:

x= r/s+t

Step-by-step explanation:

Complete the square so that the left side of x2 + 8x − 3 = 0 becomes a binomial squared.

Answers

Answer:

Hope this helps...

Step-by-step explanation:

An amusement park charges $20 to enter the
park and an additional fee for each time a guest
rides a roller coaster. Emily rode 5 times on a
roller coaster. Her total payment was $40.
Shaheem rode 7 times on a roller coaster. What
was his total payment?

Answers

Answer:

Shaheem paid $76 as his total.

Step-by-step explanation:

He paid $20 to get in, Emily paid $40 for 5 rides, and if you divide that to get the payment for one ride which is $8. So you multiply 8 by 7 because 7 is how many rides he rode which equals to 56, plus 20(his enter fee) would be $76.

4. Landon is cooking soup. He has 15 pinan of vegetable broth, 19 pints of milk, and 14 pints of tomato juice. How many gallons does Landon have, if 1 gallon = 8 pints? 6 gallons.​

Answers

Answer:

6 gallons

Step-by-step explanation:

1) add 15 and 19 to get 34

2) then add 34 and 14 to get 48

3) then divide 48 by 8 to get 6

In the graph of an inequality, the area above a solid line through the points (−5, 2) and (3, 2) is shaded.
Which inequality does this graph represent?

A. y ≥ 2
B. y ≤ 2
C. y 2

Answers

Answer:

A. y ≥ 2

Step-by-step explanation:

First the line is solid, a complete line not dotted so the inequality sign to use is : ≥  or ≤

The points have their y-coordinate vale as 2, (−5, 2) and (3, 2), this means the line crosses the y-axis at y=2 but because the shaded part is above this line, then the correct inequality will be :

y ≥ 2

See attached graph below.

1 1 1
-x -xxxx -x 1 1
=
11 1 1 1
x 1 1 1 1 1
X
1
1
The model represents an equation. What value of x makes the equation true?
A)
3
4
B)
9
2
3
4
D)
9
2.

Answers

Answer:

its d or b

Step-by-step explanation:

Answer:i think it is d

Step-by-step explanation:

given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q bottles are produced each day and sold at a price of $p per unit. a)Express the weekly profit as a function of price.b) at what price must a bottle of wine be sold to realise maximum profit. c) what is the maximum profit that ca be made by the producer

Answers

Answer:

a)the weekly profit as a function of price is[tex]P=-10 p^2 + 600 p - 6500[/tex]

b) a bottle of wine be sold at $30 to realise maximum profit

c) the maximum profit that can be made by the producer is $2500

Step-by-step explanation:

The weekly demand curve of a local wine producer is p= 50-0.1q

p = price

q = quantity

Revenue function R =Price \times Quantity

R=(50-0.1q)q

[tex]R=50q-0.1q^2[/tex]

Cost function: c= 1500+ 10q

Profit function=R(x)-C(x)

Profit function= [tex]50q-0.1q^2-1500-10q[/tex]

Profit function= [tex]40q-0.1q^2-1500[/tex]   ----1

We have q = 500 - 10 p using p = 50 − 0.1q

[tex]P=-0.1 (500 - 10 p)^2 + 40 (500 - 10 p)- 1500\\P= -10 p^2 + 600 p - 6500[/tex]

General quadratic equation:[tex]ax^2+bx+c=0[/tex]

On comparing

a = -0.1 , b = 40 , c = -1500

Maximum Profit is at q = [tex]\frac{-b}{2a}=\frac{-40}{2(-0.1)}=200[/tex]

To find price must a bottle of wine be sold to realise maximum profit

p= 50-0.1q

p= 50-0.1(200)=30

Substitute the value of q in profit function(1) get the maximum profit

So, Profit function= [tex]40\left(200\right)-0.1\left(200\right)^{2}-1500=2500[/tex]

Hence

a)the weekly profit as a function of price is[tex]P=-10 p^2 + 600 p - 6500[/tex]

b) a bottle of wine be sold at $30 to realise maximum profit

c) the maximum profit that can be made by the producer is $2500

Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!

Answers

Answer:

4

Step-by-step explanation:

9x - 5 = 7x + 3

2x = 8

x = 4

x = -7y; 2x - 8y = 22​

Answers

Answer:

(7; -1)

Step-by-step explanation:

Hi there!

Here is a solution:

If x=-7y then -14y-8y=22 => y=-1 and x=7

Hope this helps)

Have a nice day!

does anybody know the awnser to w=7a+4b

Answers

Answer:

w=7a+4bw-4b = 7a

Step-by-step explanation:

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