On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula of y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).
What are the coordinates of the image of vertex F after a reflection across the line y = –x?

(–1, –3)
(3, –1)
(1, 3)
(–3, 1)

Answers

Answer 1

Answer:

B. (3, -1)

Step-by-step explanation: I got a 100 on the test

The rule for a reflection across line y = -x: (x, y) → (-y, -x)

F(1, -3) → F'(3, -1)

Answer 2

The answer would be option B (3, –1).

What is Parallelogram?

A parallelogram defined as a special type of quadrilateral which has both pairs of opposite sides parallel and equal.

Coordinates of the vertices of a parallelogram are,

E(-3, -5), F(1, -3), H(2, -5), G(-2, -3)

Equation of a line about which this parallelogram was reflected is, y = -x

The rule for a reflection across line y = -x: (x, y) → (-y, -x)

That means when a point (x, y) is reflected across the line y = x, we find a new point (-y, -x)

By this rule new point by reflecting point F will be,

F(1, -3) → F'(3, -1)

Therefore, Option (B) will be the answer.

Learn more about parallelogram here:

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Related Questions

Graph the equation. Y=2/3x*2+4x+4

Answers

Answer:

See attached graph

Step-by-step explanation:

The equation is given as;

[tex]y=\frac{2}{3} x^{2} +4x+4[/tex]

Use a graph tool to graph and view as attached;

Answer:

Step-by-step explanation:


Point D is on line segment CE.Given DE = 2 + 10, CD = 6, and CE = 3x,
determine the numerical length of DE.

Answers

Answer:

18

Step-by-step explanation:

There are selveral ways of doing this

1. add all the numbers together so 2+10+6=18

or

2. 3x= (2+10) +6

          (12)+6

          18

3x=18

/3.  /3

x=6

then 3(6)

therefore equalling 18 as well

Amanda and Sandy found seashells along the shore. Amanda found 8 shells and Sandy found twice as many. How many seashells did Sandy find?

Answers

Answer:

16 hope this helps you out

Answer:

she found 16 seashells

Step-by-step explanation:

A Turtle traveled 1/10 mile in 1/2 hour. What was the turtle’s rate in miles per hour?
A.1/20
B.1/12
C.1/6
D.1/5

Answers

1/5

1/10 / 1/2= 2/10
Then simplify it by 2, it becomes D.1/5

Please help ASPA thanks

Answers

What is it that you need help with im in Algebra 1

#6 What integers describes overdrawing your bank account by $50?​

Answers

Answer:

-50

Step-by-step explanation:

A negitive number would mean debt or owed. A positive number would be a credit of a number.

What's 2|–9| – |–2|?

A) –20
B) 16
C) –18
D) 20

Answers

It equals to 2x9-2 so answer is B.

PLEASE HELP ME ASAP! ILL GIVE BRAINLEST

Answers

Answer:6(-4)

Step-by-step explanation:

Answer:

4(-6), 6(-4), 12(-2)

Step-by-step explanation:

Hi there!

A negative number times a positive number is a negative number. So, since -4 x 6 has one negative number, you can think of it as 4 x 6 and then add a minus sign after multiplying, so -4 x 6 is -24.

In multiplication, no matter which way the equation goes, the answer will always be the same ( 5 x 3 is the same as 3 x 5). Therefore, we are looking for another equation that will also equal -24.

4(-6) is the same because it is still one number that is a negative, and it still equals -24.

6(-4) is the same as well, it's just we're putting the parentheses around the -4 this time.

12 x 2 is 24, so 12(-2) is negative 24 (-24)

I hope this explanation helped you! I'd appreciate if you gave me Brainliest, rated my answer and gave it a Thanks! Have a great day!

Please help me it would mean a lot.

Answers

Answer:

60

Step-by-step explanation:

119-59 = 60

the equation is 119-59=60 so its 60

Quincy needs 322 yards of ribbon to decorate quilts for a craft fair. The ribbon comes in rolls of 15 yards. Alice needs twice as many yards of ribbon as Quincy. How many rolls of ribbon does Alice need? Explain your answer.

Answers

Answer:

The answer is 35

(6.8 x10^2) x (1.3 x10^-3)

Answers

Answer:

0.884

Step-by-step explanation:

write an equation for each quadratic function whose graph is shown​

Answers

Answer:

9. y=5[tex]x^{2}[/tex]

10. y=2/3[tex]x^{2}[/tex]

11. y=1/10[tex]x^{2}[/tex]

12. y=-1/4[tex]x^{2}[/tex]

Step-by-step explanation:

9. Use vertex form (y=a(x-h)^2+k) and insert the vertex (0,0) as (h, k).

y=a(x-0)^2 +0

Substitute the x and y values for the given point on the graph, (-1, 5)

5=a(-1-0)^2+0

Solve for a.

5=a(-1)^2

5=a

Substitute a in vertex form and solve for general form (ax^2 +bx+c)

y=5[tex]x^{2}[/tex]

Use this method to find the rest of the equations.

Find the area of the shaded region.
Round to the nearest tenth.

Answers

Answer:

(Assuming they are both right triangles)

214.5 sq ft

Step-by-step explanation:

Area of a right triangle= leg×leg / 2

25×25 / 2 = 312.5

14×14 / 2 = 98

312.5-98= 214.5

SOMEONE PLEASE HELP I CANT GET IT

Answers

Answer:
y=3x+9

Explanation:
To answer this question, we first have to understand a few key concepts.

1) The equation given (y=3x+9) is written in slope-intercept form, which is y=mx+b.

Heres what the variables mean:
Y=the coordinate
M=the slope
X=the x coordinate
B=the y-intercept (the point on the line that intercepts the y-axis)

2) Parallel lines have the same slope. Using the given equation, we now know that the slope of line s is 3. Therefore, the slope of line t is also 3 (because they are parallel).

So now, this is our equation so far:
y=3x+b

All we need to do now is find b, which we can do by plugging in the coordinate (-6,-9) as the x and y variables.

y=3x+b
-9=3(-6)+b
-9=-18+b
Add 18 to both sides
-9+18=-18+b+18
9=b

And when we plug 9 into y=3x+b, we get:
y=3x+9

(And yes, they are pretty much the same line)

I hope this helps! Please comment if you have any questions.

Which exponent is missing for the given expression ?

Answers

the missing exponent is 4

Complete the statements using the drop-down menus. The line perpendicular to the y-axis through the point (–4, –2) is . The slope of this line is .

Answers

Answer:

Y=-2, 0

Step-by-step explanation:

EDG 2020

Answer:

1. y= -2

2. 0

Step-by-step explanation:

Correct on Edg 2020

PLS ANSWER I NEED HELP ILL GIVE 50 POINTS PLS NO ONE HELPS ME.
What is the equation of this line?


y=2x−3

y=−12x−3

y=−2x−3

y=12x−3

Answers

.........Is A y=2x-3

Answer:

y=2x-3

Step-by-step explanation:

What is the angle relationship? Meaning, what is the angle for this?
I’ll give brainliest to whoever answers right! :)

Answers

Answer:

Easy. Alternate interior angle.

Step-by-step explanation:

What is the difference between -3 and -12?
O-15
O 15
O -9
O 9

Answers

It’d be -9. -12 minus -3 adds 3 because of the negative

Giovanni went to the Lowe’s looking for supplies. He bought three pounds of cement for $27.75 per pound. A plant for $12.58. He paid $8.99 is sales taxes. How much did he pay in total at Lowe’s?

Answers

Step-by-step explanation:

Hey there! Let's break this answer down.

1. If he bough 3 pounds of cement for $27.75 each, that 3x27.75, which is $83.25. So he spent $83.25 on cement.

2. Next, add $12.58 for the cost of the plant to $83.25, which $95.83.

3. Finally, he paid $8.99 for the sales tax. When adding that to $95.83, we get $104.82.

So, his total was $104.82.

Have a great day!

Answer:

104.82

1Step-by-step explanation:

27.75 times 3 equals 83.25 plus 12.58 equals 95.83 then add 8.99 which is $104.92

identify the x and y intercepts

Answers

Answer:

(1,0) (0,8) thats all I see

Step-by-step explanation:

x-intercepts: (-1,0) (4,0) (5,0) y-intercepts: (0,8)

what is the answer for 2(5/3+3/4)-4/3s​

Answers

Distribute the 2 to the parenthesis:
10/3 + 3/4 - 4/3s

Change the denominator of 10/3 and 3/4 so they are equal. Multiply 10/3 by 4, 3/4 by 3, and 4/3 by 4 to get:
40/12 + 9/12 - 16/12s
49/12 - 16/12s

a number is no more than 26 inequalities

Answers

Answer:

n is less than or equal to 26

Step-by-step explanation:

I'm guessing you're asking for the inequality, and since a number (n) cannot be more than 26, it has to be less.

The question never said that n can't be 26, and it only said it can't be MORE than 26, so it's less than or equal to 26, so that's what I'm thinking

If you do this whole page you get brainlessly and 5 rating and a thanks

Answers

Answer: A then 0.700 .7 .70

Step-by-step explanation:

I think the answer to Part A. is 0.74
Part B. is 0.7 and 0.70
I hope this helps:)

Kiara has $450 in the bank. After
buying groceries she has $398.72 left in
her account. Write and solve an
equation to determine how much she
spent at the grocery store.

Answers

$450 - $398.72 = $51.28

Both the football and volleyball teams have games today. The football team plays every 7 days. The volleyball team plays every 4 days. In how many days from now will both teams have games on the same day again?

Answers

Answer:

28 days

Step-by-step explanation:

football = 7 days

volleyball = 4 days

both= ?

7 x 4 = 28 days

x + 2y = 23

A.(15,-4)
B.(-15,4)
C.(15,4)

Answers

Answer:

23

Step-by-step explanation:

232323

3

3

3

3

23

23

3

this isnt correct btw

the answer for this is twenty Three

What is the value of 7/3 divided by 5/6

Answers

Answer:

14/5 or 2.8

Step-by-step explanation:

Answer:

2.8 or 2 4/5

Step-by-step explanation:

Over the next 15 months you have to read at least 75 books. You have to read x books per month. The inequality "75 is greater than or equal to 15x" represents this situation. Solve the inequality to find the number of books you have to read per month.

Answers

Answer:

  you have to read at least 5 books per month (on average)

Step-by-step explanation:

The given inequality is incorrect. "At least 75" means "greater than or equal to 75", so the inequality should be ...

  15x ≥ 75

  x ≥ 5 . . . . . . divide by 15

You have to read at least 5 books per month.

Write an equation of a line that has a slope of 1/2 and has a point at (2, 5).

Answers

point slope formula : y - y1 = m ( x- x1)
y-5 = 1/2 ( x-2)
y -5 = 1/2x -1
y = 1/2x + 4
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