WILLL GIVE POINTS
Use the Polygon tool to draw an image of the given polygon under a dilation with a scale factor of 1/3 and center of dilation at (0, 0) .
The points of the polygon =(3,3) (0,3) (6,-6) (9,6)

Given info:- X = √(4-√7) and Y = √(4+√7)

Find the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²?

Explanation:-

Given that:

X = √(4-√7)

It can be written as

On multiplying and dividing by 2 in the squre root

⇛ X = √[2{(4-√7)}/2]

⇛ X =√[(8-2√7)/2]

⇛ X =√[{(7+1)-2√7{/2]

⇛ X =√[{(√7)²+(√1)²-2(√7)(√1)}/2]

It is in the form of a²-2ab+b²

Where , a = √7 and b = √1

⇛X = √[{(√7-√1)}²/2] [∵(a-b)² = a²-2ab+b²]

⇛ X = (√7-√1)/√2

⇛ X = (√7-1)/√2 — — — — Eqⁿ(1)

and

Y = √(4+√7)

It can be written as

On multiplying and dividing by 2 in the squre root

⇛ Y = √[{2(4+√7)}/2]

⇛ Y =√[(8+2√7)/2]

⇛ Y =√[{(7+1)+2√7}/2]

⇛ Y =√[{(√7)²+(√1)²+2(√7)(√1)}/2]

It is in the form of a²+2ab+b²

Where , a = √7 and b = √1

⇛Y = √[{(√7+√1)}²/2] [∵(a+b)² = a²+2ab+b²]

⇛ Y = (√7+√1)/√2

⇛ Y = (√7+1 )/√2 — — — — Eqⁿ(2)

On adding Eqⁿ (1) & Eqⁿ(2)

→ X+Y = (√7-1)/√2+(√7+1)/√2

→ X+Y = (√7-1+√7+1)/√2

→ X+Y = (2√7 )/√2

→ X+Y = (√2×√2×√7)/√2

→ X+Y = √2×√7

→ X+Y = √14 — — — — Eqⁿ(3)

On Subtracting Eqⁿ(2) from Eqⁿ(1)

→ X-Y =[(√7-1)/√2]-[(√7+1)/√2]

→ X-Y =[ (√7-1 )-(√7+1)]/√2

→ X-Y = (√7-1-√7-1)/√2

→ X-Y = (-1-1)/√2

→ X-Y = -2/√2

→ X-Y = -(√2×√2)/√2

→ X-Y = -√2 — — — — Eqⁿ(4)

On multiplying Eqⁿ(1)& Eqⁿ(2)

→ XY = [(√7-1)/√2][(√7+1)/√2]

→ XY = (√7-1)×(√7+1)/(√2×√2)

→ XY = [(√7)²-(1)²]/(2) [∵(a+b)(a-b) = a²-b²]

→ XY = (7-1)/2

→ XY = 6/2

→ XY = 3 — — — — — Eqⁿ(5)

Now,

The value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²

It can be written as

⇛[(X-Y)²/3] + [ XY(X+Y) ]²+(X+Y)²

From Eqⁿ(3), Eqⁿ(4)& Eqⁿ(5)

⇛ [(-√2)²/3] + [ 3(√14)]²+(√14)²

⇛ (2/3) + (9×14)+(14)

⇛ (2/3)+(126)+(14)

⇛ (2/3)+140

⇛ [2+(3×140)]/3

⇛(2+420)/3

⇛ 422/3

Therefore, the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)² is 422/3.

If you have any doubt, then you can ask me in the comments.

Answer:

26.0

Step-by-step explanation:

87.2-61.2= something

something is= 26

Answer:

It is 0.8 + n = 4.5 that is the right answer

Answer: 0.8 plus n equals 4.5

Step-by-step explanation:

Answer:

B) CD

Step-by-step explanation:

Perpendicular means a line that bisects the other at 90°.

In this case, you are trying to find a perpendicular line to line BC, which can be two choices, AB & DC.

In this case, B) CD is your answer, as it is the only one that shows up (AB does not).

~

Answer:

segment CD

Step-by-step explanation:

Perpendicular segments form a 90 degree angle (aka right angle). Segment BC appears to be perpendicular to both AB and CD. I use the phrasing "appears to be" since it's not entirely clear if they actually are perpendicular. The use of a square angle marker would indicate the segments form a 90 degree angle. Such a symbol is missing.

Hope it help and if it its correct please give brainliest  

Stay Safe and healthy

Thank You

Answer:

4.8

Step-by-step explanation:

Not sure if this is what you're asking but because it is equilateral each side is the same. So you divide 14.4 by 3, to get 4.8.

Answer: y=9

Step-by-step explanation:

both points have 9 as the y coordinate

Step-by-step explanation:

3.5 liters were originally in it.

then 0.75 liters were taken out.

that left 2.75 liters.

then 1.25 liters were taken out.

that left 1.5 liters in the container.

Step-by-step explanation:

M = 4/9 + 11/72

M = (4 x 8) / (9 x 8) + 11/72

M = 32/72 + 11/72

M = 43/72

N = 8/15 - 1/3

N = 8/15 - (1 x 5) / (3 x 5)

N = 8/15 - 5/15

N = 3/15

N = (3 x 1) / (3 x 5)

N = 1/5

O = 8/7 + 9/35

O = (8 x 5) / (7 x 5) + 9/35

O = 40/35 + 9/35

O = 49/35

O = (7 x 7) / (7 x 5)

O = 7/5

P = 3 - 2/10

P = (3 x 10) / (1 x 10) - 2/10

P = 30/10 - 2/10

P = 28/10

P = (2 x 14) / (2 x 5)

P = 14/5

Q = 11/15 + 1/6

Q = (11 x 2) / (15 x 2) + (1  x 5) / (6 x 5)

Q = 22/30 + 5/30

Q = 27/30

Q = (3 x 9) / (3 x 10)

Q = 9/10

R = 3/4 - 7/10

R = (3 x 5) / (4 x 5) - (7 x 2) / (10 x 2)

R = 15/20 - 14/20

R = 1/20.

Answer:

1. 40/8 = 5

2. 3x5 : 5x5

3. 15:25

There are 15 boys to 25 girls in the class

Step-by-step explanation:

Answer:

A: 720 miles

Step-by-step explanation:

Since in 2 hours he drives 120 miles we can calculate the rate for 1 hour by diving the miles by 2

1 hour he will have driven 60 miles

Since we are looking for how much would be driven in 12 hours we multiply 60 by 12. Giving us 720 miles in 12 hours

Answer: you can use a calculator, -0.75

Step-by-step explanation:

-2+-8+9

The + and - make a - so you can simplify to

-2-8+9

-1x3

-3/4

Answer:

4 or 2 times unknown number added with 7 it gives 15

Step-by-step explanation:

2a+7=15

2a=15-7

2a=8

a=4

Answer:

2a+7=15

2a=15-7

2a=8

2a/2=8/2

a=4

Answer:

16 pots

Step-by-step explanation:

Laura wants to place a pot every 3/4 (0.75)m

The length she wants to cover is 12m

So all we must do is divide

1) 12/0.75 (I converted the fraction to a decimal cause its easier)

2) 12/0.75 = 16

3) which means for each 3/4 there will be one pot so there is 16 pots in total

Answer:

XDDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

LOL

Answer:

13/20  or .65

Step-by-step explanation:

1/4 + 1/5 + 2/10  = Total amount eaten

Find a common denominator  is   20

1/4 =  5/20

1/5 =  4/20

2/10 = 4/20

           13/20

Answer:

¡¡ Only

Step-by-step explanation:

-8-2x < - 4

-2x < - 4+8

-2x < 4

x > - 2

Answer:

You can use the model to show the fractions alongside each other.

Step-by-step explanation:

Answer:

No, only for right angle Δ

Step-by-step explanation:

It is only used for right angle triangles

total cost of the hotels is 2,296

Answer:

hahshdbdndjksosondndndud

Answer:

2.50

Step-by-step explanation:

If 4= $5.00

then divided 5.00 by 4=1.25

so 1 = 1.25

1.25x2=2.50

Therefore 2 tastykake snack cakes = $2.50

Answer:

The answer is 2.5

Step-by-step explanation:

5 divided by 4 = 1.25

1.25 times 2 = 2.5

brainliest :)

Answer:

27

Step-by-step explanation:

Answer:

$180

Step-by-step explanation:

simple interest means that interest is paid every year on the original $200

To find 3% of 200, you multiply 200(.03) = $80.

$200(3)=$60

Since the interest is the same, 3(60) = $180

Hope this helps

Answer:

22 divided by a number s

Step-by-step explanation:

[tex] \frac{22}{s} [/tex]

Answer:

yes because it does not have a exponent

Step-by-step explanation:

Answer:

f(t) = 80 + 120 e^(-0.08 t)

Step-by step explanation:

The exponent is negative, so this is an example of exponential decay.  As t increases, the exponent becomes more and more negative.  So e^(-0.08 t) gets closer and closer to 0.  Meaning f(t) gets closer and closer to 80.

Answer:

116°

Step-by-step explanation:

Interior angles in a triangle are added up to 180°.

Therefore,

(14x + 4)° + (5x - 1)° + (2x + 9 )° = 180°

Now you can solve this equation and find the value of x.

[tex](14x + 4) + (5x - 1) + (2x + 9 ) = 180[/tex]

[tex]14x+4+5x-1+2x+9=180[/tex]

[tex]14x+5x+2x+4-1+9=180[/tex]

[tex]21x+12=180[/tex]

[tex]21x=180-12[/tex]

[tex]21x=168[/tex]

[tex]\frac{21x}{21}= \frac{168}{21}[/tex]

[tex]x=8[/tex]

Now let's find the value of angle A

14x + 4

14 × 8 + 4

116°

Answer: 2 11/12 kg

Step-by-step explanation:

add the fractions and the the two(2)