Consider the formula for the slope between two coordinate points, m, shown below. Which of the following equations is equivalent to the slope formula?

Answer:

(ab-bc)²

Step-by-step explanation:

Answer:

(ab - bc)^2.

Step-by-step explanation:

ab(ab - bc) + bc(bc - ab)​

= ab(ab - bc) - bc(ab - bc)​

= (ab - bc)(ab - bc)

= (ab - bc)^2

Answer:

c

Step-by-step explanation:

[tex]\frac{81x^2}{9x^3}\\=\frac{81}{9}*\frac{x^7}{x^3} \\=9*(x^{7-3}) \\=9x^4[/tex]

Answer:

c.  9x⁴

Step-by-step explanation:

aⁿ/aˣ = aⁿ⁻ˣ

81x⁷ / 9x³ = 81/9  x⁷⁻³

= 9 x⁴

c. 9x⁴

Answer:

98.63 ounces of flour.

Apply the exponent rule x^a /x^b = x ^(a-b)

10^15 / 10^5 = 10^(15-5) = 10^10

Apple exponent rule: a^x/a^b = a^x-y

10^15/10^5 = 10^15-5 = 10^10

Best of Luck!

Answer:

Perimeter of the hexagon = 90 Unit

Step-by-step explanation:

Given:

A(-12, -8). B(-12, 7), C(0, 16), D(12,7), E(12, -8), F(0, -17)

Find:

Perimeter of the hexagon

Computation:

Length = √(x1 - x2)² + (y1 - y2)²

AB = √(-12 + 12)² + (-8 - 7)²

AB = 15

BC = √(-12 + 0)² + (7 - 16)²

BC = 15

CD = √(0 - 12)² + (16 - 7)²

CD = 15

DE = √(12 - 12)² + (-7 - 8)²

DE = 15

EF = √(12 - 0)² + (-8 + 17)²

EF = 15

FA = √(0 + 12)² + (-17 + 8)²

FA = 15

Perimeter of the hexagon = AB + BC + CD  + DE + EF + FA

Perimeter of the hexagon = 15 + 15 + 15 + 15 + 15 + 15

Perimeter of the hexagon = 90 Unit

Answer:

A. 312 m^3

Step-by-step explanation:

that's the answer. you have to solve the triangular prism sides first.

Answer:

f = 7

Step-by-step explanation:

-6f = -7f+7

Add 7f to each side

-6f+7f = -7f+7f+7

f = 7

Answer:

4 inches

Step-by-step explanation:

if the container is 4 x 4 on every side that is 16 one inch cubes per side and 4 x 16 = 64

Answer:

-6 < x

Step-by-step explanation:

4 - 5x < 22 - 2x rearrange the expression so like terms will be in the same sides of inequation

4 - 22 < -2x + 5x

-18 < 3x

-6 < x

Answer:

Step-by-step explanation:

4 - 5x  <  22 - 2x

  +2x        +2x

4 - 3x  <  22

  -4          -4

  - 3x  <  18

  ÷(-3)     ÷(-3)

     x  > - 6

    x ∈ (-6, ∞)

Answer:

The smallest value of n is 5.

Step-by-step explanation:

The expressions provided are:

[tex]1. \sqrt{76+n}\\\\2. \sqrt{2n+26}[/tex]

Rational numbers are those numbers that can be expressed in ratio or fractional form, i.e. in the form of [tex]\frac{p}{q}[/tex].

The provided numbers have denominators as 1.

We need to find the minimum value of n to make both the numbers a perfect square.

Consider the first number,

[tex]\sqrt{76+n}=\sqrt{76+5}=\sqrt{81}=9[/tex]

The number [tex]\frac{9}{1}[/tex] is a rational number.

Consider the second number,

[tex]\sqrt{2n+26}=\sqrt{(2\times5)+26}=\sqrt{36}=6[/tex]

The number [tex]\frac{6}{1}[/tex] is a rational number.

Thus, the smallest value of n is 5.

Answer:

23/6

Step-by-step explanation:

To convert a mixed number into an improper fraction, multiply the whole number by the denominator, add it to the numerator, and then put it over the denominator.

3 × 6 = 18

18 + 5 = 23

3 5/6 → 23/6

Hope that helps.

Answer:

Step-by-step explanation:

3 5/6

meaning 6 × 3 + 5

= 23/6

Answer:

-1/6 x (4a - 5)

Step-by-step explanation:

-2/3a + 5/6

Factor the expression.

So he makes 14 points per 8 minutes, and you need to find how many points he scores in 21 minutes.

[tex]\frac{8}{14} = \frac{21}{x}[/tex]

To get from 8 to 21, you have to multiply by 2.625

So do the same thing to the denominator; 14 × 2.625 = 36.75

Since 0.75 point is no point so you round down.

Jack scores 36 points in 21 minutes.

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer:

x =36.75 points or approximately 37 points

Step-by-step explanation:

We can use a ratio to solve

8 minutes         21 minutes

----------------- = ----------------

14 points            x points

Using cross products

8x = 14*21

8x =294

Divide by 8

8x/8 = 294/8

x =36.75 points or approximately 37 points

Answer:

Original Area : 48 square inches

Step-by-step explanation:

Let's say that the width of this rectangle is x, and the length of this rectangular is y. Remember that they are even consecutive integers as well, so let's make the length 2 greater than the width.

x = width,

x + 2 = length

And remember that the width decreases by 3 inches, to result in a rectangle of area 24. So the width will be x - 3, and the area will be (x - 3)(x + 2). Therefore we have the quadratic equation (x - 3)(x + 2) = 24, in which we can solve for x and y to determine the area of the original rectangle.

Step # 1 : Expand the expression (x - 3)(x + 2),

x² - x - 6 = 24

Step # 2 : Simplify and factor the expression x² - x - 6

x² - x - 30 = 0 ⇒ (x + 5)(x - 6) = 0

Step # 3 : Apply the Zero Factor Principle

x + 5 = 0, and x - 6 = 0

x = - 5, x = 6

Now remember that the width can't be negative, so it will be 6 inches long. That would make the length 6 + 2 = 8 inches. The area of the original rectangular will be 6 [tex]*[/tex] 8 = 48 square inches.

Answer:

  48 square units

Step-by-step explanation:

Let L and W represent the length and width of the rectangle.

  L = W +2 . . . . . . assuming the length is more than the width

  L(W -3) = 24 . . . . the area after the reduction in width

__

  (W +2)(W -3) = 24

So, we're looking for factors of 24 that differ by 5. We know that 24=8·3, so we have ...

  W+2 = 8

  W = 6 . . . . . . . matches W-3=3, also

Then the length is ...

  L = W+2 = 8

and the area of the original rectangle is ...

  A = LW = (8 inches)(6 inches) = 48 square inches

Greetings from Brasil...

Just apply trigonometry....

(Tangent)

TG A = BC ÷ AC

TG 50,1 = X ÷ 5

1,196 = X ÷ 5

X = 1,196 × 5

Answer:

a. the total amount spent

b. 4 candy bars, we can write this as 4x

c. the total amount of money Tom spent was 22 dollars

d. the value that is constant and separate from the price and quantity of candy bars is 4 dollars, the amount he spent on the soft drink

e. Equation: 22=6x+4

Answer:

36

Step-by-step explanation:

The lowest number is the least common multiple of 12 and 9.

12 = 2^2 * 3

9 = 3^2

LCM = 2^2 * 3^2 = 4 * 9 = 36

Answer: 36

Answer:

See bolded below.

Step-by-step explanation:

Attachment 1 : The sum of all exterior angles in any regular polygon will be 360 degrees, so if an exterior angle is found to be 30 degrees, it will have 360 / 30 sides. Therefore 360 / 30 = 12 sides

Attachment 2 : This figure is a concave quadrilateral. You can tell by it's shape, but also as one interior angle, in this case ∠KLM, is greater than 180 degrees.

Attachment 3 : As you can see the missing number is simply sum of the numbers provided on the left. Therefore the missing number will be the following,

1³ + 2³ + 3³ + 4³ + 5³ = 1 + 8 + 27 + 64 + 125

= 125

Attachment 4 : This is an example of the associative property, as it allows you to re - group the numbers. Your solution will be " Associativity. "

Attachment 5 : The cube of a negative integer will always result in a negative integer. Let's take - 3 as an example,

(- 3)³ = - 3 [tex]*[/tex] - 3 [tex]*[/tex] - 3 = 9 [tex]*[/tex] - 3 = - 27

Answer:

Step-by-step explanation:

Given the expression 4x-1 = 4x+7, we are to simplify the expression and find the value of x. To do that the following steps must be carried out.

Step 1: collect the like terms by regrouping the expression

4x-1 = 4x+7

4x - 4x = 7+1

0x = 8

Step 2: Dividing both sides by the number next to x

0x/0 = 8/0

x = ∞

Any constant dividing zero will always return infinity as a value.

Answer:

Asistieron 252 personas

Se recaudó una cantidad de $ 32760.

252 people attended the show.

$ 32760 amount was raised.

Step-by-step explanation:

Spanish

Número total de entradas = 255

Costo de un boleto = $ 130

Costo total = Número total de boletos * Costo de 1 boleto

          = 255 * 130 = $ 33150

Entonces se devolvieron 5 boletos y se vendieron dos más. La cantidad devuelta fue (5-2) * 130 = $ 390

Restando $ 390 de $ 33150 da $ 32760.

Asistieron 252 personas.

Como

255-5 + 2 = 252

y

Se recaudó una cantidad de $ 32760.

Esto también se puede resolver multiplicando = $ 130 * 252 = $ 32760

English

Total number of tickets = 255

Cost of one ticket = $ 130

Total Cost = Total Number of tickets * Cost of 1 ticket

          = 255 * 130= $ 33150

So 5 ticket was returned and two more were sold. The amount returned was (5-2) * 130= $ 390

Deducting $ 390 from $ 33150  gives $ 32760.

252 people attended the show.

As

255-5 + 2= 252

and

$ 32760 amount was raised.

This can also be solved by multiplying=  $ 130 *252= $ 32760

Answer

-5x^2+5

Step-by-step explanation:

(2x-3)^2-(3x-2)^2

=4x^2-12x+9-(9x^2-12x+4)

=4x^2-12x+9-9x^2+12x-4

=4x^2+9-9x^2-4

=-5x^2+5

Given, To Factorise

➝ (2x - 3)² - (3x - 2)²

Opening the parentheses,

➝ (4x² - 12x + 9) - (9x² - 12x + 4)

➝ 4x² - 12x + 9 - 9x² + 12x - 4

Arranging the like terms,

➝ 4x² - 9x² - 12x + 12x + 9 - 4

➝ -5x² + 5

➝ -5(x² - 1)[tex].[/tex]

[ Identity :- (a² - b²) = (a + b)(a - b) ]

➝ -5(x² - 1²)

➝ -5(x + 1)(x - 1)

☘ Hence, Factorised !!

━━━━━━━━━━━━━━━━━━━━

ans:39

Tap on the photo

first prove triangle BHC similar to FDC.Reason(AA)

then,provrSBH and GBH congruent(SAS)

CB=CG

CBG is an isolesis triangle

angle G and CBG is X

angle BCG=180-90-12=180-78=102

X=(108-102)/2=39

Answer:39°

Step-by-step explanation:

If you know some properties of circle you may solve it like this:

Since ∠CDF = 90°, FC is the diameter of the circle passing through C, D and F.

So B is the centre of the circle mentioned above as B is the mid-point of FC.

Then we have BF = BC = BD since they are all radii of the same circle.

∠BDF = ∠BFD = 12°

∠BDA = 90° + 12° = 102°

∠BDA + ∠BAD + ∠ABD = 180°

102° + x + x = 180°

x = (180° - 102°)/2 = 39°

To issacchoy1234: Nvm if you don't understand, this will be taught in 2nd term of S4 ;)

Answer:

computer game designer

Step-by-step explanation:

even though it may seem fun it takes more skill then a person thinks, plus anything that involves shapes involves geometry

shape=geometry

Answer:

computer game designer

Step-by-step explanation:

computers use simple shapes like squares and cube, and then they customize it to make games.

Answer:

8.94427190

Step-by-step explanation:

Finding squares is quite difficult, I recommend to use a calculator.

If you take the square root of 80 you get 4sqrt 5. The decimal form of that comes out to about 8.94427

Answer:

you have 12 avacados

Step-by-step explanation:

The question didn't ask how many halves you had. you have this question asking you how many you have TOTAL. not cut in half. if it was in half, you would have 24 halves

Answer:

3,500 + 750 = 4,250

Weight = (3,500 / 4,250)^2 * 180 = 0.678200692 * 180 =

122.08 pounds

Step-by-step explanation:

Answer:

y = -x - 11

Step-by-step explanation:

We know the equation must be: y = -x + c

However we do not know what "C" is. If we plug in our x and y values then we can find out the value of C.

So:

-1 = -(-10) + c

-1 = 10 + c

so c = -11

So our equation is:

y = -x - 11

Answer:

⇢ [tex]{\boxed{\bold{Simplified \: form = 4x + -3y + 52}}}[/tex]

Step-by-step explanation:

⇢ [tex]\rm{7^{2} + 4x - 3y+3}[/tex]

ㅤ

From the above equation, expanding we get:-

⇢ [tex]\rm{49 + 4x + -3y+3}[/tex]

ㅤ

Now combining the like terms:-

⇢ [tex]\rm{49 + 4x + -3y + 3}[/tex]

ㅤ

⇢ [tex]\rm{(4x) + (-3y) + (49 + 3)}[/tex]

ㅤ

ㅤ

Point to remember:-

⇢ In the part of equation expansion, there we have to expand the given equation like: (7² = 7 * 7 = 49). Therefore we get that number.

Answer:

2,4,5

Step-by-step explanation:

2.This is a multiplication problem.

4.The correct equation is 4m = 32.

5.To solve the equation, divide by 4 on both sides.

Answer:

It is 2,4,5 Creds to other person i got it right thank you

Step-by-step explanation: