What is the slope intercept form of the equation 4x-8y=72

Answer:

Step-by-step explanation:

(x₁ ,y₁) = (0 , 5)   & (x₂, y₂) = (-4 , 6)

[tex]Midpoint = (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})\\\\[/tex]

               [tex]= (\frac{0 - 4}{2} , \frac{5+6}{2}) \\\\= (\frac{-4}{2} , \frac{11}{2})\\\\=(-2 , 5.5)[/tex]

The mid-point is the average of the respective values for x and y.

So, the formula for the mid-point would be: [tex](\frac{x_{2} + x_{1}}{2}, \frac{y_{2} + y_{1}}{2})[/tex]

So for your problem this would be:[tex](\frac{-4}{2}, \frac{11}{2})[/tex]

So the final answer would be: [tex](-2, 5.5)[/tex]

Answer:

Its C

Step-by-step explanation:

Answer:

because two angles are equal

hi

technique is  to decompose both part of the fraction ( in prime numbers if possible )

 8 * 5/6   =     2*4*5  / 3*2   =   20/3

Answer:

If solved by using quadratic formula, you would need to solve the rational equation by combining expressions and isolating the variable  y .

y ≈ 2.45043159

Step-by-step explanation:

The expression (y⁴ - 81) / (y - 3) simplifies to (y + 3)(y² + 9) after factoring and canceling common terms.

expression (y⁴ - 81) / (y - 3)

by simplification

factoring the numerator

y⁴ - 81 = (y²)² - 9² = (y² - 9)(y² + 9)

factoring the denominator

y - 3

we get, (y² - 9)(y² + 9) / (y - 3)

simplifying

(y² - 9) = (y - 3)(y + 3)

(y - 3)(y + 3)(y² + 9) / (y - 3)

(y + 3)(y² + 9)

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[tex] {3}^{12} \div {3}^{7} = [/tex]

[tex] {3}^{12} \times {3}^{ - 7} = [/tex]

[tex] {3}^{12 - 7} = {3}^{5} [/tex]

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Answer:

I think the answer is 243.

Step-by-step explanation:

hope that helps

Answer:

I believe the answer is 90

Step-by-step explanation:

Answer:

90 degrees

Step-by-step explanation:

Calculate whether an angle is 90 degrees using the Pythagorean Theorem. This well-known theorem is often phrased as "A squared plus B squared equals C squared," which indicates that the sum of the squares of lengths of the adjacent sides of a right triangle is equal to the square of the length of the hypotenuse side.

Answer:

x = 20

y = 100

Step-by-step explanation:

To figure out x do this.

3x + 2x = 7x - 40 (collect like terms)

5x = 7x -40 (subtract 7x on both sides)

-2x = -40 (divide by -2 on both sides)

x = 20

Plug in to get y

Since 7x - 40 and y are vertical they equal the same amount

7(20) - 40 = y (multiply 7 by 20)

140 - 40 = y (collect like terms)

100 = y

Hope this helps ya! Keep smiling!

Answer:

Step-by-step explanation:

We have

[tex]e^\frac{x}{2}^l^n^3 = 5\\[/tex]

[tex]ln(e^\frac{x}{2}^l^n^3) = ln(5)\\\frac{x}{2}ln(3) = ln(5)\\\frac{x}{2} = \frac{ln(5)}{ln(3)} \\x = \frac{2ln(5)}{ln(3)}[/tex]

[tex]x = 2.929947041[/tex]

to the third decimal is 2.930 (i might be wrong on the rounding part)

Answer:-6

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen.

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Since, we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.

Here, We use the permutation formula to find the answer, but before that let's check values.

n = 8

k = 5

Now since there are two letters already chosen we have to deduct two from both the value of n and k.

n = 6

k = 3

Hence, we can use the permutation formula:

P (n, k) = n! / (n - k)!

P (6, 3) = 6! / (6 - 3)!

P (6, 3) = 120

Thus, There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen

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Answer:

f(1)=11,f(n)=f(n-1)+1

Answer:

if he leave at 2pm 45 miles in the first hr is the correct answer 3 pm

Step-by-step explanation:

Answer: x = 59

Step-by-step explanation:

The Answer is...

143 over 60

(Decimal: 2.38333)

Answer:

0

Step-by-step explanation:

The slope of any horizontal line will be zero.

Answer:

slope = m = rise/run = 0/8 = 0

Step-by-step explanation:

Well rise/run is how much it rises over how much it runs.

Note it rises by 0 so 0 on top,

Therefore;

no matter it be 0/1 or 0/1241213261238126836128361  the rise/run also known as slope is always gonna be 0

Reasoning:

0 divided by anything is always 0

Hope this helps

Part (a)

Answer: $32.50

--------------------

Work Shown:

Each ticket costs $16. If you buy four of them, then you paid 4*16 = 64 dollars.

The total bill was $96.50

This leaves 96.50-64 = 32.50 for parking.

======================================================

Part (b)

Answer:  y = 16x+32.50

--------------------

Work Shown:

x = number of tickets

y = total bill (in dollars)

1 ticket costs 16 dollars

x tickets cost 16x dollars since we multiply both values by x

Add on the cost of parking to get a total bill of y = 16x+32.50

======================================================

Part (c)

Answer:  at most 13 tickets

In other words, 13 is the max you can get.

--------------------

Work Shown:

Plug y = 250 into the equation found back in part (b). Solve for x

We'll follow PEMDAS in reverse to isolate x

y = 16x+32.50

250 = 16x+32.50

16x+32.50 = 250

16x = 250-32.50

16x = 217.5

x = 217.5/16

x = 13.59375

Since we can't buy a fraction of a ticket, we must round down to the nearest whole number. We cannot round to x = 14 despite the value 13.59375 being closer to 14 as it is to 13.

x = 13 is the answer we're after.

If we plug in x = 13, we get

y = 16x+32.50 = 16*13+32.50 = 240.5

while x = 14 leads to

y = 16x+32.50 = 16*14+32.50 = 256.5

The first result of $240.50 is under $250 while the second result $256.50 is over $250. So that's why x = 13 is the largest number of tickets we can buy.

a) The parking fee is $32.50.

b) The equation is T(N) = 16N + Parking fee

c) Approximately 13 or 14 tickets.

We have,

a)

Total bill - Cost of tickets = Parking fee

$96.50 - ($16 * 4) = Parking fee

$96.50 - $64 = Parking fee

Parking fee = $32.50

b)

Total bill = T

Number of tickets = N

The equation that gives your total bill (in dollars) as a function of the number of tickets you buy is:

T(N) = 16N + Parking fee

c)

T(N) = 16N + Parking fee

Substituting the given values:

$250 = 16N + Parking fee

$250 = 16N + $32.50

$250 - $32.50 = 16N

$217.5/16 = N

N ≈ $13.6

Thus,

a) $32.50

b) T(N) = 16N + Parking fee

c) Approximately 13 or 14 tickets.

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Answer:

y = 5

x = 14

Step-by-step explanation:

AOC=25

AOL=90

Therefore COL = 65

COM is a 90 degree angle since MOD is 90 degrees

COM - COL = 90 - 65 = 25

5y = 25

y=5

LOB = 90

5y + 3x + 23 = 90

5(5) + 3x +23 = 90

25 + 3x + 23 = 90

48 + 3x = 90

3x= 90 - 48

3x = 42

x= 14

Answer:

x = 14, y = 5

Step-by-step explanation:

MOB = LOC

(3x + 23) + 25 = 90

3x + 23 = 65

3x = 42

x = 14

3(14)+23 + 5y = 90°

5y = 25

y = 5

Answer:

2.8

Step-by-step explanation:

It is the same

Answer:

60

Step-by-step explanation:

(2x+15)=135    They're corresponding angles so they equal/congruent

     -15   -15       Subtract 15 on both sides since you're looking for x

2x = 120       Bring down the remains and subtract 135 from 15

 2        2        Add 2 on both sides

x= 60            Divide.

Answer:

-1728

Step-by-step explanation:

First, you multiply -12 and -12 which is 144

After that multiply 144 by -12 which is -1728

Answer: -1728

Hope this helps!

Answer:

-1728

Step-by-step explanation:

Answer:

1. x=7/5-2y/5

2. x = − 8 √ 3 ( − 1 − 2 y )

Step-by-step explanation:

i did it

9514 1404 393

Answer:

  2(x+1)

Step-by-step explanation:

  x . . . I think of a number

  x +1 . . . add 1

  2(x +1) . . . double the result

Answer:

£80

Step-by-step explanation:

If there are 5 days in a work week, and he earns £400 for the whole week, you would divide £400 by 5. You get 80, so Dan earns £80 each day.

Answer:

£80

Step-by-step explanation:

divide £400 by 5

400/5 = 80

Answer:

24cm, 36cm y 48cm

Step-by-step explanation:

Tu necesitas multiplicar cada lado por 4 porque 4 es el factor de escala.

(Lo siento si mi explicacion es mala, no se mucho Español, entonces no puedo explicar muy bien)

Answer: 6800

Step-by-step explanation:

24000 divided into 20

8000-1200

The rate of speed is the rate at which the total distance is traveled in the time taken.

The Space Explorer B travel 6.67 times faster than Space Explorer A.

The rate of speed is the rate at which the total distance is traveled in the time taken. Rate of speed can be given as,

[tex]s=\dfrac{d}{t}[/tex]

Here, [tex]d[/tex] is the distance traveled by the object and [tex]t[/tex] is time taken but the object to cover that distance.

Given information-

The equation given in the problem is,

[tex]y=8000[/tex]

Here, [tex]y[/tex] represented the number of miles that the satellite, Space Explorer B, flies in hours.

The satellite, Space Explorer A, flies 24000 miles in 20 hours.

The speed of the Space Explorer A, which flies 24000 miles in 20 hours is,

[tex]s=\dfrac{24000}{20}\\s=1200[/tex]

Thus the Space Explorer A, travels 1200 miles per hour.

As the Space Explorer B, travel is 8000 miles per hour and the Space Explorer A, travels 1200 miles per hour. Thus the ratio of the speed of both is,

[tex]d=\dfrac{8000}{1200} \\d=6.67[/tex]

Thus the Space Explorer B travel 6.67 times faster than Space Explorer A.

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Answer:

The numbers are 90 and 10.

Step-by-step explanation:

Let the two numbers are x and y.

It has been given that  sum of two numbers is 100. Hence, we have the equation,

x + y = 100 .........(i)

Now, the difference of these two numbers is 80. Thus, second equation is

x - y = 180......(ii)

Add equation (i) and (ii)

x + y + x - y = 100 + 80

2x = 180

Divide both sides by 2

x = 90

Substitute this value in (i)

90 + y = 100

y = 100- 90

y = 10

Therefore, the numbers are 90 and 10.

#Learn More:

The sum of two numbers is 450 and the smaller number is 120. What is the product?

Step-by-step explanation: