determine whether AB and CD are parallel, perpendicular, or neither.
A(1,5), B(4,4), C(9,-10), D(-6,-5)

Answer: 25

Step-by-step explanation:

We know this because 5 × 5 = 25

or 5² = 25

and also √25 = 5

Using limits, the average cost when printing an increasing large number is of $115.

When x goes to infinity and we want to solve the limit, we consider only the term with the highest degree. If we have a fraction, as is the case in this problem, we consider the terms with the highest degree of the numerator and of the denominator.

For this problem, the cost function is:

[tex]C(x) = \frac{450 + 115x}{x}[/tex]

The terms with largest degree are the multipliers of x, with degree 1, hence the limit is given as follows:

[tex]\lim_{x \rightarrow \infty} C(x) = \lim_{x \rightarrow \infty} \frac{450 + 115x}{x} = \lim_{x \rightarrow \infty} \frac{150x}{x} = 150[/tex]

Hence the average cost when printing an increasing large number is of $115.

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Answer:

[tex] \sqrt[3 \\ ]8 + \sqrt{114} {?} [/tex]

The range the number of clients, y, the company will have after x years of the function will be -∞ ≤ y ≤ ∞

The range of a function is the complete set of possible dependent variable values. While domain is the set of all possible independent values. We can substitute domain to get range.

From the given graph, the line of the equation of the graph is a linear. We can then say that y = - ∞, y = 1 and y = ∞

Y = 1 when x = 0

Therefore, the range of the function will be -∞ to +∞ That is,

-∞ ≤ y ≤ ∞

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Answer:

1,∞ is the answer

Step-by-step explanation:

Answer:

X represents 32

Step-by-step explanation:

Bc x plus 30 = 62 - 30 equals 32 0-0

Answer:

1st=5, 2nd=10, 3rd=25

Step-by-step explanation:

We can make an equation to figure out the lengths of all 3 peices:

1st piece is represented as x

2nd piece is twice as long as the first, so 2x will represent that.

3rd piece is 5 times as long as the first, so 5x will represent that

together that is x+2x+5x=40

you can then simplify that to be 8x=40

40/8=5 so x=5

You then plug 5 in as x to figure out the lengths of the other pieces

1st=

5

2nd=2(5)

10

3rd=5(5)

25

:D

Answer:

Please see the graph below

Step-by-step explanation:

The table is just selecting numbers for x and then solving for what y would be.  Once we have the ordered pairs (x,y)  We can graph the points and see the line.

The value of AC  = 4x + 5.

A variable is defined as any property, number, or amount that can be counted or measured.

Even despite their different operations, adding and subtracting variables follow the same rule: once adding or subtracting terms with the identical variables, you either add and otherwise subtract the coefficients and leave the result with the variable.

       2a + 5a + 4a = 11a

        11a – 5a – 4a = 2a

Similarly with the question;

AB = x+9, BC = 3x-4

AC = AB + BC

AC  = x + 9 + 3x - 4

Add the variable and constant part separately.

AC  = 4x + 5

Thus, the value of AC is found as 4x + 5.

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The answer is (-∞.∞).

Draw out a number line. Plot 0 and -4 on the number line.

Shade to the left of x = 0, and have a filled in circle at the endpoint. This is the graph of x≤0

Then graph x ≥−4 by plotting a filled in circle at -4, and shading to the right.

Note how the two graphs overlap to cover the entire real number line

So if we have x≤0  or  x≥−4 then we're basically saying x is any real number. To write this in interval notation, we write (−∞,∞)

This is the interval from negative infinity to positive infinity (or just infinity). We exclude each endpoint because we can't actually reach infinity itself. Infinity is not a number. Infinity is a concept

Side note: if you change the "or" to "and", then the solution to x≤0  and  x≥−4 would be [-4, 0][−4,0] to indicate the interval from x = -4 to x = 0, including both endpoints. This is the region where the two graphs overlap.

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Answer:

16/99

Step-by-step explanation:

i think

To solve for x, the given equation will be transformed as x = c - b/4

What is the equation?

Given that,

x-b/4 = c

To solve for x, the given equation will be transformed as-

x = c - b/4

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Answer:642

Step-by-step explanation:

Look at the book and solve it

Answer:

18

Step-by-step explanation:

tbh I kinda forgot how to do this but ill try,

input 3 into the f(x)

4(3)+6=12+6=18

The length of one side of the square is x+6

The formula for calculating the area of a square is expressed as:

A = L^2

where

L is the side length of the square

Given the following parameters

A = x^2 + 12x + 36  square feet

A = (x+6)^2

(x+6)^2 = L^2

L = x + 6

Hence the length of one side of the square is x+6

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The Remaining length of the cardboard piece is  94.15 cm.

According to the statement

We have to find that the length of the remaining piece.

So, For this purpose, we know that the

Length is defined as the measurement or extent of something from end to end.

From the given information:

Four pieces measuring 29.cm, 19.62cm, 32.49cm and 24.74cm are cut from a board that is 200cm long.

Then

Total length of the four pieces become:

Four pieces length = 29+19.62+ 32.49 + 24.74

Four pieces length = 105.85 cm

Then the

Remaining length of the cardboard piece = total length - length of the four pieces.

Remaining length of the cardboard piece = 200 - 105.85

Remaining length of the cardboard piece = 94.15cm.

So, The Remaining length of the cardboard piece is  94.15 cm.

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Answer:

1022 minutes

Step-by-step explanation:

Let x be the number of minutes the executive used the phone

There is a base charge of $35 and only minutes greater than 900 min are charged at the rate of $0.40 per minute

So total bill A = 35 + 0.4(x-900)

We know the bill was $83.80

So we can rewrite the equation as

35 + 0.4(x-900) = 83.30

and solve for x

To make it easier for computational purposes

1)  Multiply both sides by 10

[tex]35\cdot \:10+0.4\left(x-900\right)\cdot \:10=83.8\cdot \:10[/tex]

2) Perform individual multiplication

[tex]350+4\left(x-900\right)=838[/tex]

3)  Subtract 350 from both sides

[tex]350+4\left(x-900\right)-350=838-350[/tex]

4)  Simplify

[tex]4\left(x-900\right)=488[/tex]

5) Divide both sides by 4

[tex]\frac{4\left(x-900\right)}{4}=\frac{488}{4}[/tex]

6) Simplify

[tex]x-900=122[/tex]

7) Add 900 to both sides to isolate x

[tex]x-900+900=122+900[/tex]

8) Simplify to obtain x

[tex]x=1022[/tex]

Answer: The executive used the phone for 1022 minutes that month

Step-by-step explanation:

.............................-

The solutions to the quadratic equation, -9x² + 49 = 0, are: C. x = 7∕3, –7∕3.

Given the quadratic equation, -9x² + 49 = 0, we can factorize to find the roots (the values of x) as shown below:

-9x² + 49 = 0

-(9x² - 49) = 0

Divide both sides by -1

-(9x² - 49)/-1 = 0/-1

9x² - 49 = 0

9x² - 49 + 49 = 0 + 49

9x² = 49

Divide both sides by 9

9x²/9 = 49/9

x² = 49/9

Take the square root of both sides

√x² = √(49/9)

x = ±7/3

Therefore, the solutions to the quadratic equation, -9x² + 49 = 0, are: C. x = 7∕3, –7∕3.

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Answer:

-36

Step-by-step explanation:

-18    - 18    = -36

Answer:

56 degrees

22 minutes

48 seconds

The value closest to the lateral area of the cylinder is 138. 5cm^2. Option C

The formula for determining the lateral area of a cylinder is expressed as;

Lateral area = 2 πrh

Where;

Note that radius is half the diameter;

radius, r = 5. 8/ 2 = 2. 9 cm

Substitute into the formula

Lateral area = 2 ( 3. 142 × 2. 9 × 7. 6)

Lateral area = 2 ( 69. 249)

Lateral area = 138. 49 cm^2

Thus, the value closest to the lateral area of the cylinder is 138. 5cm^2. Option C

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The equation to the tangent line to [tex]y = e^{(x^2)}[/tex] at point (1,0) is given by:

y = 2e(x - 1).

Supposing that we have a function f(x) at a point [tex](x_0, y_0)[/tex], the equation of the tangent line to this function is given by:

[tex]y - y_0 = f^{\prime}(x_0, y_0)(x - x_0)[/tex]

In which f' is the derivative.

In this problem, the function is:

[tex]f(x) = e^{(x^2)}[/tex]

Applying the chain rule, the derivative is:

[tex]f^{\prime}(x) = 2xe^{(x^2)}[/tex]

At x = 1, the derivative is:

[tex]f^{\prime}(1) = 2(1)e^{((1)^2)} = 2e[/tex]

Hence the tangent line at point (1,0) is given by:

y = 2e(x - 1).

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Answer: 60 rides

Step-by-step explanation:

18/30% = (as fraction) 180/3

= 60

Answer:

It's the nitrogen concentration, since it's the one being decided.

Answer:

n = 7

Step-by-step explanation:

You will want to add all common factors with each other.

So that would be n + 3n + 5n which would be 9n.

Then -8 + 1 would be -7. So now it should be 9n - 7.

You are going to set 56 equal to 9n - 7, so that would be 9n - 7 = 56.

After that, you will have to leave 9n alone by itself, so you would have to add 7 to both sides. Your final equation should be 9n = 63.

After that, you should divide both sides by 9 since you want n alone.

So 63 ÷ 9 would be 7. So at the end, n = 7.

Answer:

120

Step-by-step explanation:

l = (w*3)+2

w = 6

area = ((6*3)+2) * 6

            ((18) + 2) * 6

               20        * 6

                     120

Answer:

D. 22.5

Step-by-step explanation:

120 divided by 8

plus 60 divided by 8

= 22.5

Answer:

1500000

Step-by-step explanation: