newton watches a movie with his friends. they watch 50% of the movie and then takes a break. they then watch the remaining 65 minutes = how long was the movie

Answer:

The coordinates of the epicenter are (1,2) ie x=1, y =2

Step-by-step explanation:

We use the fact that the distance d  between 2 points, (C y₁) and (x₂, y₂) is computed by the Pythagorean formula:
(x₁ - x₂)² + (y₁ - y₂) = d²

Let the epicenter be located at (x, y)

Distance dA from point A(5,2) is known to be 4 and is given by the equation:
(x-5)² + (y - 2)² = dA² = 4² = 16 ==>

(x-5)² + (y-2)² = 16              (1)

Similarly, the distance  from point B(-2,2) is given as 3. Therefore,
(x - (-2))² + (y-2)² = 3² = 9 or
(x + 2)² + (y-2)² = 9     (2)

Distance from point C(1,-3) ==>

(x-1)² + (y-(-3))² ==> (x-1)² + (y +3)² = 25 ...(3)

(1) - (2) cancels out the y terms and gives us
(x-5)² - (x+2)² = 7   (4)

This simplifies to
x² + -10x + 25 - (x² +4x + 4)  = 7
or
x² + -10x + 25 -x² -4x -  4 = 7
-10x -4x = 7 - 21 = -14
Therefore, -14x = -14 giving us x = 1

Substituting for x = 1 in equation (3) gives us
(1-1)² + (y+3)² = 25 or
y + 3 = √25 = 5 giving y = 2

So we get the epicenter coordinates as x=1, y =2

Crosscheck in each of the equations (1), (2) and (3) for consistency
Equation 1 : (1-5)² + (2-2)² = -4² = 16           Check!

Equation 2: (1-(-2))² + (2-2)² = (1+2)² = 3² = 9  Check!

Equation 3: (1-1)² + 2-(-3))² = (2+3)² = 5²   Check!

The equation that shows the miles Andrea drove is $104 = $50 + $3x.

The total cost of renting the moving truck is a function of the cost to rent per day and the total miles driven. The cost to rent the truck per day is the fixed cost while the cost per mile is the variable cost.

Total cost = cost to rent per day + (cost per mile x total mile driven)

$104 = $50 + $3x

To learn more about fixed cost, please check: https://brainly.com/question/25879561

#SPJ1

Answer:

Step-by-step explanation:

Initial value is 10 minutes and additional time is 4 minutes per week.

This is a linear function with

The formula for the time of run after n weeks is

Daily run time after 8 weeks is

If each of A, B, and C are mutually independent, then

P(A and B and C) = P(A) P(B) P(C)

so that the probability of the three-way intersection is

P(A and B and C) = 0.66 × 0.52 × 0.78 = 0.267696 ≈ 0.27

Answer:

123-456-789

Step-by-step explanation:

es la suprimeral

Answer:

215,00.

Step-by-step explanation:

Average price = 22500

18000*2 + 28000 + 27000 + x = 22500*5

91000 + x = 112500

X = 21500

Answer:

R215,00

Step-by-step explanation:

Let x = amount the 5th music shop charges for the strings

[tex]\sf mean=\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}[/tex]

[tex]\implies \sf 225=\dfrac{180+180+280+270+x}{5}[/tex]

[tex]\implies \sf 225\cdot 5=910+x[/tex]

[tex]\implies \sf 1125=910+x[/tex]

[tex]\implies \sf x=1125-910[/tex]

[tex]\implies \sf x=215[/tex]

Therefore, the fifth music shop charged R215,00 for the strings.

Answer:

y=-9x-9

Step-by-step explanation:

Just plug in your Ys and Xs in order to get y=-9x-9

Answer:

[tex]y = \frac{x}{5}[/tex]

Step-by-step explanation:

I am going to assume that by "f-1(x)" you mean [tex]f(x)^{-1}[/tex], which makes this an inverse function problem. To find the inverse of a function, simply swap x and y, then solve for y.

[tex]x = 5y\\y = \frac{x}{5}[/tex]

Step-by-step explanation:

[tex]y = 6 \tan( \frac{x}{2} ) - 3[/tex]

Set y=0

[tex]0 = 6 \tan( \frac{x}{2} ) - 3[/tex]

[tex]3 = 6 \tan( \frac{x}{2} ) [/tex]

[tex] \frac{1}{2} = \tan( \frac{x}{2} ) [/tex]

[tex] \tan {}^{ - 1} ( \frac{1}{2} ) + \pi = \frac{x}{2} [/tex]

Multiply both sides by 2

[tex]2 \tan {}^{ - 1} ( \frac{1}{2} ) + 2\pi = x[/tex]

So the x intercepts of the function is

[tex]2 \tan {}^{ - 1} ( \frac{1}{2} ) + 2\pi[/tex]n

Explanation:

The fraction 5/2 turns into 10/4 when you multiply top and bottom by 2

5*2 = 10

2*2 = 4

Or you could use long division or a calculator to notice that

5/2 = 2.5

10/4 = 2.5

Both result in the same exact decimal value, so the fractions must be equal. Each person runs exactly 2.5 miles everyday.

Answer:

D

Step-by-step explanation:

2x²-24x-14=0

2(x²-12x-7)=0

x²-12x-7=0

Expand A, B, C, D

A. (x-6)²=50 => x²-12x+36=50 => x²-12x-14=0 [not correct]

actually from here you can see B, C are not correct

D. (x-6)²=43 => x²-12x+36=43 => x²-12x-7=0 [correct)

Answer:

27 and 28

Step-by-step explanation:

x+x+1=55

2x+1=55

2x=55-1

2x=54

divide each side by 2

x=27

x+1=28

check your answer adding the two integers

27+28=55

Answer:

the value of x must be -2 . ie option b

Answer:

x-1=-x²+2x+5

-x²+(2x-x)+(5+1)=0

-x²+x+6=0

(x-3)(x+2)

x=3 or x=-2

Answer:

Step-by-step explanation:

Here's an example:

x^2 + 6x + 9 = 0

First factorise it:

(x + 3)(x + 3) = 0

So the solution is  x = -3 (multiplicity 2)

That is there are 2 roots both -3.

Answer:

First box - divide both by 2

Second box - subtract 8 by 6

last box - subtract x

Answer:

1. 2

2. 4

3. 20

4. 10

5. 4

6. 4

Step-by-step explanation:

I'm not sure about the last one.

hope this helps

have a good day

Answer:

[tex]2-\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\begin{aligned}\dfrac{\sqrt{3}-1}{\sqrt{3}+1}\times \dfrac{\sqrt{3}-1}{\sqrt{3}-1} &=\dfrac{(\sqrt{3}-1)(\sqrt{3}-1)}{(\sqrt{3}+1)(\sqrt{3}-1)}\\\\ & =\dfrac{\sqrt{3}\sqrt{3}-\sqrt{3}-\sqrt{3}+1}{\sqrt{3}\sqrt{3}-\sqrt{3}+\sqrt{3}-1}\\\\ & =\dfrac{4-2\sqrt{3}}{2}\\\\ & = 2-\sqrt{3}\end{aligned}[/tex]

Answer:

x = 40

Step-by-step explanation:

Preform the opposite opposite operation to get x by itself.

  -80 = -120 + x

+ 120   +120

    40  =  x

Answer:

answer

Step-by-step explanation:

Answer is, 40

Answer:

same

Step-by-step explanation:

A line remains same if the center of dilation is on the line.

Answer:

Step-by-step explanation:

Let

Eqautions as per question

Combined, there are 182 ​Asians, Africans,​ Europeans, and Americans in a village.

The number of Asians exceeds the number of Africans and Europeans by 59.

The difference between the number of Europeans and Americans is 14.

If the number of Africans is​doubled, their population exceeds the number of Europeans and Americans by 16

Substitute a, b and c into the first equation and solve for d

Find the other variables

We found that

A function assigns the values. The function is f(x) = (8x - 8)/(x² + 2x).

A function assigns the value of each element of one set to the other specific element of another set.

A rational function has a denominator and a numerator.

Vertical asymptotes are x-values that the function approaches but never touches. By setting the denominator to zero, we may discover the vertical asymptotes.

Since the vertical asymptote is x=-2 and x=0,  our denominator of the function will be

x(x+2) = x²+2x

Horizontal asymptotes are y values that the function approaches but never touches. Because the horizontal asymptote is y=0, the numerator's degree must be less than the denominator's degree. And because the x-intercept is equal to one, our numerator will be

x - 1

At the moment, The function can be assumed to be,

f(x) = (x - 1)/(x²+2x)

Next, we need to use the condition f(2)=1.   If we plug in x=2, f(x) should equal 1. But we need to multiply the right side of the function by some constant C.

The condition f(2)=1 must then be applied. If we substitute x=2, f(x) should equal 1. However, we must multiply the right side of the function by a constant C.

1 = C(2 - 1)/(2²+2(2))

Solve for C.

1 = C / 8

8 = C

So the function will be

f(x) = [8(x - 1)] / [(x² + 2x)]

f(x) = (8x - 8) / (x² + 2x)

Hence, the function is f(x) = (8x - 8)/(x² + 2x).

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

Answer:

11x^2+4x-6

Step-by-step explanation:

Can't tell if its asking for the values of x, but thats the final expression^

Answer:

11[tex]x^{2}[/tex]+4x-6

Step-by-step explanation:

Answer:

90°.

Step-by-step explanation:

if AR is diameter and the angle ∠AOR (it's m∠2) is based on this diameter, then its measure is 90°. It is central angle.

Answer:

ad r4

Step-by-step explanation:

rfrrrrfe

Answer:

the answer of given question is 1/5

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

Explanation:

Count the number of leaves marked in green.

There are 2+3+5+3 = 13 leaves total. This represents tickets were sold on 13 days.

Each stem and leaf combines to form a different ticket count. For instance, the stem of 1 and leaf of 8 combine to get the value 18. So 18 tickets were sold on that particular day.

the given expression does not represent a polynomial

Answer:

BCA

CAB

ABC

that kind of triangle is a scalene triangle, meaning there are no equal sides. if you see, B is the smallest of the sides and C is the largest, so A is in the middle.