The scale drawing at right shows the first slope of a house, the actual dimensions of the garage are 20 feet by 25 feet. All angels are right angels.

A. how many feet does each inch represent? That is, what is the scale?

B. What are the length and width of the living room on the scale and drawing( in inches)?

C. What are the actual length and width of the living room( in feet)?

D. if the family wants to lay carpet in the living room and carpeting cost $1.25 per square foot, how much will carpet cost

The equation of the tangent line is [tex]y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}[/tex]

To find the tangent to the hyperbola [tex]\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} }[/tex] at (x₀, y₀), we differentiate the equation implicitly to find the equation of the tangent at (x₀, y₀).

So, [tex]\frac{d}{dx} (\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} }) = \frac{d0}{dx}\\\frac{d}{dx} \frac{x^{2} }{a^{2} } - \frac{d}{dx}\frac{y^{2} }{b^{2} }= 0\\\frac{2x }{a^{2} } - \frac{dy}{dx}\frac{2y }{b^{2} } = 0\\\frac{2x }{a^{2} } = \frac{dy}{dx}\frac{2y }{b^{2} } \\\frac{dy}{dx} = \frac{b^{2}x }{a^{2}y }[/tex]

So, at (x₀, y₀)

[tex]\frac{dy}{dx} = \frac{b^{2} x_{0} }{a^{2} y_{0} }[/tex]

So, the equation of the tangent line is gotten from the standard equation of a line in point-slope form

So, [tex]\frac{y - y_{0} }{x - x_{0} } = \frac{b^{2} x_{0} }{a^{2} y_{0} } \\y - y_{0} = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) \\y = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) + y_{0} \\y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}[/tex]

So, the equation of the tangent line is [tex]y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}[/tex]

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Answer: It’s 18+0.15x divided by x so it’s B

Step-by-step explanation:

The expressions that represent average cost A(x) are B) A(x) = (18 + 0.15x)/x

and F)  A(x) = 18/x + 0.15.

When the average is not of any individual rather it is an average of two or more groups or sets it is called a weighted average.

To obtain the weighted average we multiply no. of individuals by their averages and sum the next group in the previous procedure and divide them by the total no. of individuals.

Given, A local office supply store charges $18 to set up their business card printing machine with the design and $0.15 in materials per business card to print.

The expression that represents average cost A(x) = (set up cost + cost per business card×no of cards) divided by no. of cards.

A(x) = (18 + 0.15x)/x.

Also A(x) = 18/x + 0.15.

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Answer:

-7/3

Step-by-step explanation:

To find the slope, we use the slope formula

m= ( y2-y1)/(x2-x1)

   = ( 7 - -7)/(-3 -3)

    = ( 7+7)/( -6)

    = 14/-6

   = 7/-3

   = -7/3

Step-by-step explanation:

m = y2-y1 / x2-x1

= 7+7 / -3-3

= 14/-6

= -7/3

Answer:

The answer should be C!

Step-by-step explanation:

When you multiply the y value 0.04 and 5 it comes out as 0.02.

Answer:[tex]x 6[/tex]

Step-by-step explanation: Im not to good at math but hope that hlps

Answer:

x^x

Step-by-step explanation:

hope this helps :)

Answer:

4x2-6x+6

Step-by-step explanation:

(9x2-2x) +(3x-5)+(m) =13x2-5x+1

(13x2-5x+1)-(9x2+x-5)=m

Using probability concepts, it is found that:

a) The missing value is 0.04.

b) The mean is of 0.37.

The distribution is given by:

[tex]P(X = 0) = 0.76[/tex]

[tex]P(X = 1) = 0.15[/tex]

[tex]P(X = 2) = 0.05[/tex]

[tex]P(X = 3) = x[/tex]

Item a:

The sum of all the probabilities has to be 1, that is:

[tex]\sum_{i = 0}^{3} P(X = i) = 1[/tex]

Thus:

[tex]0.76 + 0.15 + 0.05 + x = 1[/tex]

[tex]0.96 + x = 1[/tex]

[tex]x = 0.04[/tex]

The missing value is 0.04.

Item b:

The mean is given by the sum of each outcome multiplied by it's probability, thus:

[tex]E(X) = 0(0.76) + 1(0.15) + 2(0.05) + 3(0.04) = 0.37[/tex]

The mean is of 0.37.

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Answer:

từ khoảng 70 đến 90 phần trăm

Answer:

1

Step-by-step explanation: i guessed

Step-by-step explanation:

8 vehicle.

Step-by-step explanation:

Given: Monthly salary of salesperson is $2400

          Incentive of salesperson is $250 per vehicle sold.

First, lets compute income to earned apart from salary.

∴ Deduct salary from the target amount

\$ 4400-\$ 2400= \$ 2000$4400−$2400=$2000

∴ 2000 need to be earned only through incentive, which is2000needtobeearnedonlythroughincentive,whichis250 per vehicle sold.

Now, solving to get number vehicles to be sold to earn $2000 as incentive.

Number of vehicle= \frac{2000}{250}= 8\ vehicles2502000=8 vehicles

∴ 8 vehicles need to be sold by salesperson to get total earning as $4400

Step-by-step explanation:

p = (1431.75 - 1051.50)/29.25

p = 13

Answer:

Grapgical charts and data plots

Step-by-step explanation:

Step-by-step explanation:

Answer:

d{0 less than or equal to x less than or equal to 20, xer}

r{0 less than or equal to y less than or equal to -6,yer}

Step-by-step explanation:

The Domain and Range of the graph given is -

Domain ↔  [1, -6]

Range ↔ [- 21, 20]

We have a graph as shown in the figure.

We have to determine its domain and range.

For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.

According to question, we have -

From the graph it is clear that -

The values of y belong to the set - [1, -6]

and

The values of x belong to the set -  [- 21, 20]

Therefore, according to the definition of domain and range -

Domain ↔  [1, -6]

Range ↔ [- 21, 20]

Hence, the Domain and Range of the graph given is -

Domain ↔  [1, -6]

Range ↔ [- 21, 20]

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Answer:

The correct answer should be D.

Step-by-step explanation:

9514 1404 393

Answer:

  A rotation 90° CW followed by translation right 5 units.

Step-by-step explanation:

It is easier to choose the right composition of transformations if we know what your choices are.

Figure F has an orientation that is 90° CW from that of figure E, so a 90° CW or 270° CCW rotation could be one of the transformations.

Rotation about the origin will move the figure so that the acute angle is in a different quadrant. In order to return it to the same quadrant a translation is required. The amount of translation will depend on whether it comes before or after the rotation.

Possible sequence of motions are ...

Answer:

B. 60°

Step-by-step explanation:

1. The measure of all angles in a triangle sum up to 180°. This means that y + y + 60 = 120.

2. (Solving)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 60 from both sides.

Step 3: Divide both sides by 2.

Step 4: Check if solution is correct.

Therefore, the answer is B. 60°.

Answer:

Part A:  A) [tex]\frac{4y^{10}}{3w}[/tex]

Part B:

C) Quotient Rule of Powers (explained in Part A of this post).

D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).

Step-by-step explanation:

[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]

Use the Quotient Rule of Exponents:

[tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex]

The 28 and 21 can be reduced by dividing both of them by 7.  For the exponential expressions with the same base, you could subtract their exponents.  I'll do each base separately so it doesn't get confusing.

[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]

[tex]y^{15-5}[/tex] = [tex]y^{10}[/tex] (in the numerator).

[tex]w^{4-3}[/tex] = w (in the denominator. The "w" in the numerator cancels out).

[tex]z^{7-7}[/tex] = [tex]z^{0} = 1[/tex]  We used the Zero Exponent Rule here, were it states: [tex]a^{0} = 1[/tex]. (unnecessary to include in the final answer).

Altogether, you'll have:

Option A: [tex]\frac{4y^{10}}{3w}[/tex]

C) Quotient Rule of Powers (explained in Part A of this post).

D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).

If triangle ABC is reflected across the line x = -2, the new point is A'(-1, 2), B'(2, 1) and C'(-2, -3)

If triangle ABC is reflected across the x axis, the new point is A'(-3, -2), B'(0, -1) and C'(-2, 3)

If triangle ABC is reflected across the y axis, the new point is A'(3, 2), B'(0, 1) and C'(2, -3)

If triangle ABC is reflected across the line y = x, the new point is A'(2, -3), B'(1, 0) and C'(-3, -2)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Triangle ABC has vertices A(-3,2) B(0,1) and C(-2,-3).

1) If triangle ABC is reflected across the line x = -2, the new point is A'(-1, 2), B'(2, 1) and C'(-2, -3)

2) If triangle ABC is reflected across the x axis, the new point is A'(-3, -2), B'(0, -1) and C'(-2, 3)

3) If triangle ABC is reflected across the y axis, the new point is A'(3, 2), B'(0, 1) and C'(2, -3)

4) If triangle ABC is reflected across the line y = x, the new point is A'(2, -3), B'(1, 0) and C'(-3, -2)

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[tex] = > 6a - 2b[/tex]

[tex] = > 6(5) - 2(7)[/tex]

[tex] = > 30 - 14[/tex]

[tex] = > 16[/tex]

Answer:

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9514 1404 393

Answer:

  one solution: (x, y) = (-8, -7)

Step-by-step explanation:

We can add 6 times the first equation to the second equation in order to eliminate y.

  6(x -y) +(4x +6y) = 6(-1) +(-74)

  10x = -80

  x = -8

  y = x+1 = -7 . . . . . solve the first equation for y; substitute x

The one solution is (x, y) = (-8, -7).

Answer:

24.15

Step-by-step explanation:

10.35 x 2 = 20.7 But you still need 1 bag 1/3 of 10.35 =  3.45 Add all of them up = 24.15

Answer:

130 will be correct answer

Step-by-step explanation:

The three angles are

34° 70° and 126°

we have to find fourth angle

let us consider fourth angle as X

The sum of quadrilateral is 360°.

So

34°+70°+126°+ x = 360°

130+X =360°

X = 360°-130°

X = 230°

Here we got the fourth angle

Step-by-step explanation:

square root of 196 is 14

square root of 169 13

square root of 121 is 11

square root of 225 is 15

square root of 144 is 12

square root of 100 is 10

Answer:

Step-by-step explanation:

The smallest integer is 2x - 2

The middle integer = 2x

The largest integer = 2x + 2

2x - 2 + 2x + 2x + 2 = 2x  + 2 + 50      Combine

6x = 52 + 2x                                         Subtract 2x from both sides

6x-2x = 52                                            Combine

4x = 52                                                  Divide both sides by 4

4x/4 = 52/4

x = 13

The three integers are

2x - 2 = 24

2x =    26

2x + 2 = 28

Answer:

=2x+4

Step-by-step explanation:

Let's simplify step-by-step.

5x+4−3x

=5x+4+−3x

Combine Like Terms:

=5x+4+−3x

=(5x+−3x)+(4)

=2x+4

Answer:

2x+4

Step-by-step explanation:

Hope fully it is correct