Mathematics High School

!!!!really need help!!!!Polygon ABCDEF is rotated 90°, reflected across the line y = -x, and then translated up
3 units and to the left 2 units to produce the image polygon A'B'C'D'EF'. What are the
coordinates of D' ?

!!!!really Need Help!!!!Polygon ABCDEF Is Rotated 90, Reflected Across The Line Y = -x, And Then Translated

Answers

Answer 1

Answer:

D'(-4, 1)

Step-by-step explanation:

Polygon ABCDEF is transformed by number of steps given in the question.

We have to find the coordinates of point D'.

Coordinates of point D → (2, -2)

Step - 1,

Polygon rotated 90° counterclockwise about the origin,

Rule for this rotation,

(x, y) → (-y, x)

Coordinates of image E after rotation,

D(2, -2) → E(2, 2)

Step - 2,

Point E then reflected across the line y = -x,

Rule for the reflection,

(x, y) → (-y, -x)

Image of E after reflection will be,

E(2, 2) → F(-2, -2)

Step -3,

Then point F was translated up by 3 units and 2 units left,

Rule for the translation,

(x, y) → (x -2, y + 3)

Image of F will be point D',

F(-2, -2) → D'(-4, 1)

Related Questions

Which ones are equivalent?

Answers

Answer:

1st one, 3rd one, and 5th one.

Answer:

The first, third and the fifth.

Step-by-step  explanation:

First one is equivalent

√(8^2*8^2)

= √64*64

= √64.

8^1/2 * 8^1/2

= 8^1

= √64.

√(16*4)

= √64.

Find the fraction, decimal, or percent that is NOT equivalent to 2.3?

23/10

230%

2.3%

Answers

Answer:

23/10

Step-by-step explanation:

954÷70
and remainder

Answers

Answer:

13 with a remainder of 44

Step-by-step explanation:

.

Find the slope of the line that passes through the pair of points.
(-2,3), (-5,2)

Answers

Answer:

A. 1/3

Step-by-step explanation:

2-3/-5--2=

2-3/-5+2=

-1/-3=

1/3

after eating at a restaurant the bill for your table is $62.50. There is a 6% sales tax and you want to leave a tip for 18% based on the pre-tax amount. How much money do you need to cover your final bill?

Answers

Answer:

Step-by-step explanation:

Your bill is $62.50

$62.50 * .06 = $3.75 (this is your sales tax added)

So your total is up to: $66.25

Adding the tip the same way using $66.25 *.18 = $11.93

Tip would be $11.93

Total coming to: $78.17

hope this helps

Answer:

$77.50

Step-by-step explanation:

Tax:

62.50x0.06= 3.75

3.75+62.50= 66.25

Tip:

62.50x0.18= 11.25

Answer:

66.25+11.25= 77.50

Quadrilateral ABCD undergoes a reflection across the x-axis to form quadrilateral a b c d the coordinates of a r the reflected quadrilateral a b c d is then translated three units to the right and third and two units up to form quadrilateral a quotation b quotation quotation see quotation

Answers

Solution :

From the figure,

The coordinates of --

A = (-5,-3)

B = (-6,-1)

C = (-3,-1)  

D = (-2,-3)

When it undergoes reflection about x-axis, we have the coordinates of the quadrilateral as

A' = (-5,+3)

B' = (-6,+1)

C' = (-3,+1)

D' = (-2,+3)

Now A'B'C'D' is translated 3 units to right, so the coordinates will be --

A" = (-2,3)

B" = (-3,1)

C" = (0,1)

D" = (1,3)

When the quadrilateral moves third and two units up, we get

A"' = (3,3)

B"' = (2,1)

C"' = (5,1)

D"' = (6,3)

Answer:

Step-by-step explanation:

rewrite the equation by completing the square 3+x=x^2+3x

Answers

Answer:

[tex](x+1)^2=4[/tex]

Step-by-step explanation:

[tex]3+x=x^2+3x[/tex] is our equation first, get all the x terms on one side so the equation equals a constant number[tex]3+x-(x)=x^2+3x-x\\3=x^2+2x\\x^2+2x=3[/tex] Then add to both sides the square of half of the coefficient of x : the coefficient of x here is 2 sothe square of half of 2 is [tex](1)^2[/tex] then[tex]x^2+2x+(1)^2=3+(1)^2\\x^2+2x+1=4\\[/tex] If you factor the left side you get [tex]x^2+2x+1=4\\(x+1)^2=4[/tex]

Answer:

(x+1)^2 =4

x=-1±2

Step-by-step explanation:

I got it right on khan

Please help! Thank you!!

Answers

It’s the first option ;)
Yes I agree first question

Identify the y-intercept and the axis of symmetry for the graph of f(x) = 10x^2 + 40x + 42.
a
42; x = 4
b
42; x = –2
c
–42; x = 2
d
0; x = –4

Answers

Answer:

b)42, x=-2

Step-by-step explanation:

Answer:

The option 'b' is correct.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)\:=\:10x^2\:+\:40x\:+\:42[/tex]

Determining the y-intercept

The y-intercept can be obtained by setting the value x = 0

[tex]y\:=\:10x^2\:+\:40x\:+\:42[/tex]

[tex]y\:=\:10\left(0\right)^2\:+\:40\left(0\right)\:+\:42[/tex]

    [tex]= 0+0+42[/tex]

    [tex]=42[/tex]

Therefore, the y-intercept is:

(0, 42)

Determining the axis of symmetry

Given the equation

[tex]y=\:10x^2\:+\:40x\:+\:42[/tex]

For a parabola in standard form [tex]y=ax^2\:+\:bx\:+c[/tex]

the axis of symmetry is the vertical line that goes through the vertex

[tex]x=\frac{-b}{2a}[/tex]

so

The  axis of symmetry for [tex]y=ax^2\:+\:bx\:+c[/tex]  is [tex]x=\frac{-b}{2a}[/tex]

[tex]a=10,\:b=40[/tex]

[tex]x=\frac{-b}{2a}[/tex]

[tex]x=\frac{-40}{2\cdot \:10}[/tex]

[tex]x=-2[/tex]

Therefore, the option 'b' is correct.

Solve For X:
25 + 8x = 1​

Answers

Answer:

x=-3

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

25+8x=1

8x=-24

x=-3

Write the following numbers in scientific notation 56,089​

Answers

Answer:5.6089*10^4

Step-by-step explanation:

B The veterinarian weighs Anthony's
dog at a check up. The dog weighs 55
pounds. If 1 kilogram is approximately
2.2 pounds, which value best
represents the weight of Anthony's
dog in kilograms?

Answers

Answer:

25 kg.

Step-by-step explanation:

the dog is approximately 55 pounds and we know 1 kg is approximately 2.2 pounds. 55 divided by 2.2 is 25. the dog is approximately 25 kg.

Is 56/8 an interger
Please help....

Answers

Fractions and decimals cannot be integers. whole, natural numbers are integers (ex. 5,6,7).

Help ASAP if you want brainliest

Answers

Answer:

Its C

Step-by-step explanation:

Answer:

c.27/31 fluid ounce...


Solve the inequality 4y + 3 > 2y + 14​

Answers

9514 1404 393

Answer:

  y > 11/2

Step-by-step explanation:

Subtract 2y+3 to get the variable term alone on one side.

  2y > 11

  y > 11/2 . . . . . . divide by the coefficient of y

What is the value of x? Please provide an explanation, thanks!

Answers

Step-by-step explanation:

x + 1 + 2x + 2 + 12x - 18 = 180 (sum angles in triangle)

15x - 15 = 180

15x = 195

x = 13deg

Topic: Angles

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Step-by-step explanation:

(x+1)°+(2x+2)°+(12x-18)°=180°

15x+3°-18°=180°

15x+15°=180°

15x=180°-15°

x=165°/15°

x=11° Answer..

An alloy consists of nickel, zinc, and copper in the ratio 2:7:9.
a
How much of each metal is needed to make 3.6 kg of this alloy?

Answers

Answer:

0.4kg, 1.4kg and 1.8kg

Step-by-step explanation:

Given parameters:

         Mass of alloy = 3.6kg

         Ratio of elements in the alloy = 2:7:9

Unknown:

Mass of each element in the alloy = ?

Solution:

To find the mass of each element in the alloy, first find the sum of the ratio;

              2+7+9 = 18

Mass of nickel  = [tex]\frac{2}{18}[/tex] x 3.6 = 0.4kg

Mass of zinc = [tex]\frac{7}{18}[/tex] x 3.6 = 1.4kg

Mass of copper = [tex]\frac{9}{18}[/tex] x 3.6 = 1.8kg

The mass of each metal is 0.4kg, 1.4kg and 1.8kg

Answer:

Nickle=0.4

Zinc=1.4

Copper=1.8

Step-by-step explanation:

what is 3c² + d³ when c = 1 and d=2 = please

Answers

Answer:

11

Step-by-step explanation:

3(1)^2 = 3

2^3 = 8

3+8=11

There were 43 children at the playground. Now there are 27 children at the playground. How many children left the playground? Ben says that 13 children left the playground. He thinks that 43 – 30 is easier to subtract than 43 – 27. He subtracts 43 – 30 and gets 13. Why is Ben's reasoning not correct?

Answers

Ben is incorrect because Ben did not answer the question according to the available information. The fact that subtracting 43 from 30 is easier for Ben does not mean it is the correct answer.

I thought i had the right answer, but it was wrong. So anyone want to to help me with this? Please dont steal points. 7 points each!

Answers

Answer:16 dollars per shirt

Step-by-step explanation:

Answer:

$16 profit per sweater

Step-by-step explanation:

$130-$50=$80

$80÷5=$16

PLEASEEEE HELP ASAPPPP

Answers

Answer:

I think its A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The y intercept is 2, visible on the graph.

The way I think about counting slope is (in this case)

"up one, over 5"

1/5

c=1/5m+2

D is your answer if there are 4 options (A, B, and C are incorrect; D isn't shown so I assume it's what I got)

HTH :)

please help me out with this question.
much appreciation. Thanks.​

Answers

Answer:

there is nothing

Step-by-step explanation:

Jake bought two shirts and one pair of pants for six dollars mike bought one shirt and one pair of pants for four dollars how much is each shirt and each pair of pants the system of equations used to solve this would be 2X plus Y equals six and X plus Y equals four

Answers

Shirts and pants are both $2 each.
Using the elimination method, we can solve this system of equations. You must find a common multiple of both equation for either x or y. I chose to multiply equation 2 by (-2) so that the x would be eliminated, allowing us to solve for y.

Work:

Please help! Only if you know though :))$

Answers

Answer:

180

Step-by-step explanation:

Find the value of c that completes the square

x^2+7x+c

Please help me with how to do this, and show me. Thank you.

Answers

Answer:

c = [tex]\frac{49}{4}[/tex]

Step-by-step explanation:

Given

x² + 7x + c

To complete the square

add ( half the coefficient of the x- term )² to x² + 7x

x² + 2([tex]\frac{7}{2}[/tex] )x + [tex]\frac{49}{4}[/tex] , thus

= (x + [tex]\frac{7}{2}[/tex] )² ← a perfect square

with c = [tex]\frac{49}{4}[/tex]

Question: (help please?!?!)Bridget has $2,835 in her savings account. Each pay period, $945 is deposited into

her savings account. If her paycheck deposits are the only transactions, which of the

following equations could be used to find y, the amount in her savings account based

on x, the number of times she is paid?

A y = 2,835 - 945x

B 2,835y = 945x

C y = 945x + 2,835

D y = 2,835x + 945

Answers

Answer:

C. y = 945x + 2,835

Step-by-step explanation:

Each pay period 945 dollars is deposited so that's the slope, which x stands for each pay period. She already started with 2,835 in her savings account so that is the y-intercept.

Slope: 945x

Y- intercept: 2,835

Therefore,

equation: y = 945x + 2,835

is y = -4 + 2x linear?​

Answers

Answer: it is linear

Step-by-step explanation: Find the degree of the equation to determine if linear.

Answer:

Yes

Step-by-step explanation:

Look up Desmos, it is graphing calculator... it will really help. REAL EXPLANATION: You put one point on -4, then do rise over run (2/1x), thus go up to over one. So on and so forth; this will result in a linear line.

Help me plz very hard

Answers

Answer:

19

Step-by-step explanation:

Answer:

y=19

Step-by-step explanation:

your equation is y=6x-11 with an input of 5 so you plug in 5 for x.

% times 6 is 30 and 30 minus 11 is 19

Please help me!!
Really fast PLEASE

Answers

Answer:

The answer to your question is $7

Answer:

Purchase Price:

$28

Discount:

(28 x 75)/100 = $21.00

Final Price:

28 - 21.00 = $7.00

Whoever gives me points and thanks gets them back :O

Answers

Answer:

i gotchu

Step-by-step explanation:

I would but I’m in the negative sorry
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