Find the surface area

Answer:

Ava is incorrect

Step-by-step explanation:

Given

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2}[/tex]

[tex]Ava: \frac{(2x - 3y)^2}{(3y - 2x)^2} = -1[/tex]

Required

Determine if Ava is correct or not

Ava's solution is incorrect and the proof is as follows;

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2}[/tex]

Apply the following law of indices;

[tex]\frac{a^n}{b^n} = (\frac{a}{b})^n[/tex]

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{2x - 3y}{3y - 2x}]^2[/tex]

Rewrite the numerator

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{-(3y - 2x)}{3y - 2x}]^2[/tex]

Cross out the common factor of the numerator and denominator

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{-1}{1}]^2[/tex]

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [-1]^2[/tex]

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = 1[/tex]

Hence, the solution is 1; not -1

Her mistake is that, she did not apply the square on -1, after she factorize the denominator

Answer:

incorrect

Step-by-step explanation:

Answer:

61.13

Step-by-step explanation:

[tex]2\pi(4) = 8\pi = 25.13[/tex]

[tex]25.13 + 10 + 10 + 8 + 8 = 61.13[/tex]

Answer:

(5,20)

Step-by-step explanation:

Answer:

x = 23

Step-by-step explanation:

These are supplementary angles so the sum of those angles add up to 180:

3x + 16 + 5x - 20 = 180

8x - 4 = 180

8x = 180 + 4

8x = 184

x = 184/8

x = 23

Answer: B) 2(x+4)

Step-by-step explanation: Hope this help :D

Answer:

C. 10cm

Step-by-step explanation:

First we can rearrange the equation to solve for length (l):

V = lwh

Divide both sides by wh:

l = V/(wh)

Substitute in known values:

l = 1200/(15x8)

l = 1200/120

l = 10cm

Hope this helped!

Answer:

y = 2 * 4^x

Step-by-step explanation:

We could define a wide variety of rules!

It turns out that any set of n (x, y) pairs can be modeled by a singular polynomial of degree (n-1) or less, and by infinitely many polynomials of degree n or more! And we're only talking polynomials!

Let's input it into a polynomial interpolation calculator:

[tex](27 x^4)/4 - (63 x^3)/2 + (225 x^2)/4 - (51 x)/2 + 2[/tex]

Well I don't love this.

Let's try to actually look for patterns. We see that the function is rapidly increasing. More and more, actually. Let's look for the ratios of each next y

8/2 = 4

32/8 = 4

128/32 = 4

512/128 = 4

BINGO!

So we can define the rule as:

y = 2 * 4^x

Answer:

c. (1/2, 8)

Step-by-step explanation:

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

-2x + y = 7

Step 1: Subtract y from both sides of the equation.

-2x = -y + 7

Step 2: Divide both sides by -2

x = 1/2y - 7/2

Substitute what you see above this statement for y in the other equation.

6(1/2y - 7/2) + y = 11

Step 3: Multiply 6 by 1/2y - 7/2.

3y - 21 + y = 11

Step 4: Combine y and 3y.

4y - 21 = 11

Step 5: Add 21 to both sides

4y = 11 + 21

4y = 32

Step 6: Divide both sides by 4.

y = 32/4

y = 8

Step 7: Substitute 8 for y in x = 1/2y - 7/2 Because the resulting equation contains only one variable, you can solve for x directly.

x = 1/2(8) - 7/2

Step 8: Multiply 1/2 by 8.

x = 4 - 7/2

Step 9: Add -7/2 to 4.

x = 1/2

The system is now solved, and we get C (1/2, 8) as our answer.

Answer:

C

Step-by-step explanation:

I did the test myself

Answer:

it looks dead ..............

Answer:

10

Σ [n^2]

i=1

Step-by-step explanation:

Hope I helped? I inserted it into a calc and I also got 385 for something if its useful))

Answer:

It would be number 3. 1/7,3/7,4/7,6/7

Step-by-step explanation:

For fractions if the denominator is the same you go to the numerator (the top number) to compare. The bigger the numerator is (like 6) the higher it should go on your list.

Answer:

Horizontal lines have no vertical change -- it continues straight left or right. In other words, the change in the y values between any points on the graph is 0, since there is no change. This means that the slope of a horizontal line is 0

Step-by-step explanation:

hope this helps

Answer:

0

Step-by-step explanation:

The line's slope remains constant throughout, its a line that passes through the y - axis therefore it's slope will be 0.

Answer:

14

Step-by-step explanation:

to determine the answer

Subtract the amount she wants to tip from the total amount of money she wants to spend

$27.50 - $4 = $23.50

Let m = total miles

the total miles she intends to drive can be determined using this equation

$23.50 = $6 + $1.25m

Collect like terms

$23.50 - $6 = $1.25m

$17.50 = £1.25m

Solve for m

17.50 / 1.25 = 14

Answer:

-7

Step-by-step explanation:

-2 - 5 = -7

Answer:

-7 degree

Step-by-step explanation:

Answer:

6u - 10

Step-by-step explanation:

Given

6(u - 2) + 2 ← distribute parenthesis

= 6u - 12 + 2 ← collect like terms

= 6u - 10

Answer:

8w + 18 = 57

bonus answer: w = 4.875 or 5 weeks

Step-by-step explanation:

Answer:

1.) D

2.) F

3.) C

4.) H

Step-by-step explanation:

i am positive on 4, but not totally sure on 1, 2, and 3

9514 1404 393

Answer:

  3 ≤ n ≤ 10 means "three is less than or equal to n, which is less than or equal to 10"

  you're concerned with polygons having 3 to 10 sides, inclusive.

Step-by-step explanation:

The symbol ≤ means "less than or equal to." The compound inequality ...

  3 ≤ n ≤ 10

means the value of n may range from 3 to 10, inclusive.

__

In the present context, where n is a number of sides, it means you're concerned with polygons that are any of ...

  triangle, quadrilateral, pentagon, hexagon, ...

  heptagon, octagon, nonagon, decagon

the awnser is 123 million I am sure of it

Answer:123 million.

Step-by-step explanation: From 1992 to 1997, it grew by 5 million in 5 years. That means it grew by a million people every year. 2012-1997=15. That means it grew by 15 million. 108+15=123.

Answer:

The answer is "Its next hockey game is probably the Texas Sharpshooters who've had exactly 1 goal 0.5".

Step-by-step explanation:

The exploratory probabilities are called chances of possible dangers based on previous cases.

[tex]Experimental \ probabilities = \frac{Appropriate \ results}{Total\ results}[/tex]

The chance which Texas Sharpshooters will be scoring precisely

Next game of 1 goal

If demonstrated at the table:

Positive effects are 1 repeated 4 times

So, positive results [tex]= 4[/tex]

Outcomes total [tex]= 8[/tex]

Odds [tex]= \frac{4}{8} = 0.5[/tex]

The probability that Texas Sharpshooters will achieve exactly 1 goal is 0.5

Answer:

Area of model pond = 45.6 inch² (Approx.)

Step-by-step explanation:

Given:

Circumference of circular pond = 24 inches

Find:

Area of model pond

Computation:

Circumference of circle = 2πr

Circumference of circular pond = 2πr

24 = 2[22/7][r]

Radius r = [24 x 7] / [2 x 22]

Radius r = 3.81 inch (Approx.)

Area of circle = πr²

Area of model pond = πr²

Area of model pond = (22/7)(3.81)²

Area of model pond = [3.1428][14.5161]

Area of model pond = 45.6 inch² (Approx.)

Answer: the is  1560

Step-by-step explanation:

5-day work week, Matt puts 175 miles on his car. His wife, Sarah, puts 100 more and  28 work days

Answer:

no

Step-by-step explanation:

x=28

Step-by-step explanation:

angle bisector splits the angle through the middle

so we can say both equations are equal so you can solve 2x-15=1x+13

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt\red{G \: I \: V \: E \: N}}}} : [/tex]

❅ [tex] \underline{ \underline{ \large{ \tt{ \purple{T \: O \: \: F \: I \: N\: D}}}}} : [/tex]

☄ [tex] \underline{ \underline{ \large{ \orange{ \tt{S\: O \: L \: U \: T \: I \: O \: N}}}}} : [/tex]

~Set up an equation & solve for x :

☃ [tex] \large{ \bf{(2x - 15 ) \degree= ( 1x + 13) \degree }}[/tex]

[ Since JM is a angular bisector of ∠ ZJF , ∠ ZJM = ∠ MJF ]

~ Move 1x to left hand side and change it's sign. Likewise , Move 15 to right hand side and change it's sign

⟶ [tex] \large{ \bf{2x -1x = 13 + 15}}[/tex]

⟶ [tex] \boxed{ \large{ \bf{x = 28 \degree}}}[/tex]

☂ [tex] \boxed{ \boxed{ \underline{ \underline{ \large{ \bold{ \pink{ \tt{Our \: Final \: Answer : \boxed{ \bold{ \red{x = 28 \degree}}}}}}}}}}}[/tex]

♨ [tex] \underline{ \text{HOPE \: I\: HELPED}}[/tex] !! ♡

♪ [tex] \underline{ \underline{ \text{HAVE \: A \: WONDERFUL \: DAY / \: NIGHT}}}[/tex]♕

☛ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \:Learning}}}[/tex] ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

a

Step-by-step explanation:

a

Answer:

exact form:

1/4

decimal form:

0.25

116= 1

is correct

wieyrb;ewury b2e;qpwiybrq;wiy

Answer:

35.53% is the answer

Step-by-step explanation:

Answer:

35.53

Step-by-step explanation:

hope it's helpful ...............