If KL = x + 8
, LM = 12
, and KM = 3x − 14
, what is KL?

Answer:

No solution

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The area if a parallelogram is given by the equation, Area = base * height

In this case, area = 200, and the actual height = 20

So, let's say the base is x

Plug these values in to the Area equation

200 = 20 * x

200 = 20x

Divide both sides by 20 to get x alone

200 / 20 = 20x / 20

10 = x

The base is 10

The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters

What is measurement?

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.

Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.

Since we have 30 meters of fencing available, the total length of wire fencing used is:

L + 2W = 30 - W

Simplifying this equation, we get:

L = 30 - 3W

The area of the garden is:

A = LW

Substituting the expression for L from the previous equation, we get:

A = W(30 - 3W)

Expanding the expression, we get:

A = 30W - 3W²

To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:

dA/dW = 30 - 6W = 0

Solving for W, we get:

W = 5

Substituting this value back into the expression for L, we get:

L = 15

Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:

A = 5(15) = 75 square meters

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(1) A vitamin contains = 18.5mg of calcium

Then 60 tablets will contain

18.5mg x 60

Note 1 g = 1000mg

2) A vitamin contains = 18.5mg of calcium

Then 20 tablets will contain

18.5mg x 20

Note 1 g = 1000mg

Step-by-step explanation:

how much Will it cost to fill two cars with 35liter each

Answer:

infinitely many solutions (infinite solutions)

Step-by-step explanation:

2y - 8 = 6x

   +8    +8

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

2y = 6x + 8

\(\frac{2y}{2}\) = \(\frac{6x}{2}\) + \(\frac{8}{2}\)

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

y = 3x + 4

Because 3x + 4 = 3x + 4, there are infinitely many solutions to this system of equations. This is because they're the exact same equations. Any substitution for x will give you a true statement to y when compared to the other equation.  

Answer:

1.  y = 5|x|   ⇒vertical stretch

2. y = ⅓|x|  ⇒vertical compression

3. y = 3|x|   ⇒vertical stretch

Step-by-step explanation:

Given the parent absolute value function, f(x) = |x|:

The transformed function, y = a|x|, where |a| > 1, represents the vertical stretch of the parent graph by a factor of a.  

Therefore, the absolute value equation, y = 5|x|, represents a vertical stretch of the parent function by a factor of 5. The graph of y = 5|x| is narrower than the parent function, f(x) = |x|.  

The transformed function, y = a|x|, where 0< |a| < 1, represents the vertical compression of the parent graph by a factor of a.  

Therefore, the absolute value equation, y = ⅓|x|, represents a vertical stretch of the parent function by a factor of ⅓. The graph of y = ⅓|x| is wider than the parent function, f(x) = |x|.  

Similar to question 1, the absolute value equation, y = 3|x|, represents a vertical stretch of the parent function by a factor of 3. The graph of y = 3|x| is narrower than the parent function, f(x) = |x|.  

Attached are the graphs of the given absolute value functions, where it shows the transformations to the parent function, f(x) = |x|.  

Answer:

Step-by-step explanation:

In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour

Answer:

\(\large \boxed{\sf{4.83 \ dollars/battery}}\)

Step-by-step explanation:

Unit rate is a ratio that compares two measurements.

Denominator is 1

\(\displaystyle \sf \frac{29\ dollars}{6\ batteries}=4.83\ dollars/battery\)

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

The first answer is right (18).  Second answer is 50= 3.9x+2.8, which is 12.1 so 13 would be the best answer to catch at least 50 fish.

Step-by-step explanation:

1- It was 15:43 in Paris when the plane arrived.

2- It will arrive in the airport at 03:12.

3- It was 10:39 AM when I arrived in Cebu City.

1. Given that the flight where you are, Flight 122, departed from Manila when it was 4:13 PM it arrived in Paris, France, and this flight lasted 30 hours and 30 minutes, to determine what time it was in Paris upon the Night's arrival there the following calculation must be performed:

Therefore, it was 15:43 in Paris when the plane arrived.

2. Given that your father's flight, Flight 783 departed from Oslo, Norway when it is 7:12 AM there, and it will land in Bacolod-Silay Airport after a 28-hour travel, to determine what time it will arrive in the airport using the Philippine Standard Time the following calculation must be made:

Therefore, it will arrive in the airport at 03:12.

3. Given that when your family arrived at the airport, you looked at your watch and it was 5:45 am, exactly 3 hours before your next flight to Cebu City, to determine, if your next flight left on time and took exactly 114 minutes, what was the time on your watch when you arrived in Cebu City, the following calculation must be performed:

Therefore, it was 10:39 AM when I arrived in Cebu City.

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Given:

Leslie will use more than ½ cup but less than 1 whole cup of flour for a recipe.

Let's find the fraction of a cup Leslie might use.

To find the fraction of a cup Leslie might use, find the fraction that is less than 1 whole and still more than ½.

To find the fraction of a cup Leslie might use, we have the fraction:

This is because the fraction, ¾, is less than 1 whole and it is still more than ½.

¾ is ¼ less than 1 whole and ¼ greater than ½

Therefore, the fraction of a cup Leslie might use is ¾

ANSWER:

Answer:

42

Step-by-step explanation:

You need to follow P--E--M--D--A--S

                                A  X  U   I    A  U                

                                R  P   L   V   D  B

                                E  O  T    I    D  T

                                N  N  I    T    I   R

                                T  E   P    I    T  A

                                H  N  L   O   I   C

                                E  T   I    N   O  T

                                S  S  C         N   I

                                 I       A              O

                                S       T              N

                                          I

                                         O

                                         N

The b. m<angle1 = 45°,

mangle2 = 67.5°  

An octagon has 8 sides.

Sum of interior angles = 180° x (n-2) = 180° x (8-2) = 180° x 6 = 1,080°

1,080° ÷ 8 sides = 135° interior angle.

Angle 2 = 135° / 2 = 67.50°

Angle 1 = 180° - 135° = 45°

If these were the choices given:

a. mangle1 = 45°, mangle2 = 135°

b. mangle1 = 45°, mangle2 = 67.5° ⇔ THIS IS THE CORRECT ANSWER.

c. mangle1 = mangle2 = 60°

d. mangle1 = 22.5°, mangle2 = 78.75°

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Skipper's finance charge at the end of the billing period is given as follows:

$14.77.

The finance charge is obtained using simple interest, as there is a simple compounding per year for the debt, and the charge is the amount of interest accrued during the period of one month.

The amount of interest accrued after t years, using simple interest, is given as follows:

I(t) = Prt.

The parameters for the equation are given as follows:

Considering a period of one month = 1/12 of an year, the values of these parameters for this problem are given as follows:

P = 933, r = 0.19, t = 1/12.

Hence the finance charge for Skipper's purchase is calculated as follows:

I = 933 x 0.19 x 1/12 = $14.77.

(rounding to the nearest penny = nearest cent).

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Answer:

3/45-8=12

Step-by-step explanation:

Answer:

It's more accurate because

Step-by-step explanation:

Expressing in the simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

Thus, the parking space is longer than length of the truck by 42 inches.

The same attribute is expressed using a unit conversion, but in a different measurement equivalent. For instance, time can always be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or another type of measurement unit instead of miles.

Using conversion factors, existing units, and or the fact that a unit of measure cancels out another unit of measure, a unit cancellation table is created.

Given data:

Length of the parking space = 60 feet

Length of truck = 6 yard.

Convert yards in feet

1 yard = 3 feet

Multiply both side by 6.

6*1 yard = 6*3 feet

6 yard = 18 feet

Difference = 60 - 18 = 42 feet.

The parking space is longer than length of the truck by 42 inches.

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Standard form of quadratic function with leading coefficient 1,

x-intercept 7 and 10 and y as dependent variable and x as independent variable is equal to y = x² -17x +70.

As given in the question,

Given :

y is the dependent variable of the required quadratic function.

x  is the independent variable of the required quadratic function.

Leading coefficient of quadratic function is 1

X-intercept of the required function is 7 and 10

Standard form of required quadratic function is equal to

y = k (x-a)(x -b)

Here k=1 , a=7 , b=10

y = 1 (x -7)(x - 10)

⇒ y = x² -7x -10x +70

⇒ y= x² -17x +70

Therefore, standard form of quadratic function with leading coefficient 1, x-intercept 7 and 10 and y as dependent variable and x as independent variable is equal to y = x² -17x +70.

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Answer:

the an2wser is D

Step-by-step explanation:

i know because im smart lol

Given the following cost:

Base price = $31.145

Folding rear seat = $325

Front leather trim split-bench seat = $125

Sport package = $690

Tow package = $650

Block heater = $85

Optional 4-wheel drive = $950

Destination charge = $852

Let's find the stricker price.

To find the sticker price of the SUV, let's sum up all the listed prices.

We have:

Sticker price = Base price + Folding rear seat + From leather trim + sport package + tow package + block heater + optional 4 wheel drive + destination charge

Thus, we have:

Sticker price = $31.145 + $325 + $125 + $690 + $650 + $85 + $950 + $852

Sticker price = $3708.145

Therefore, the SUV's sticker price is $3708.145

ANSWER:

$3,708.145

Answer:

20% as a fraction is 20/100

20% as a decimal is 0.20

Step-by-step explanation:

Answer:

1/5 and 0.20

Step-by-step explanation:

20/100 = 10/50 = 2/10 = 1/5

20% is out of a 100, so move the decimal place of the 20 two times because 100 has 2 zeros.

0.20

It can be seen that x = (3 ± √(9 + 32√3)) / 8, which can be expressed in surd form as (3 + √(9 + 32√3)) / 8 or (3 - √(9 + 32√3)) / 8.

To find x using the sine rule, we need to solve the equation:

sine(45) / x = sine(30) / (2x + 2√3)

Simplifying this equation, we have:

(2x - 1) / x = 1 / (2x + 2√3)

Cross-multiplying and simplifying further, we get:

(2x - 1)(2x + 2√3) = x

Expanding the brackets, we have:

\(4x^2 + 4\sqrt3x - 2x - 2\sqrt3 = x\)

Rearranging the terms and simplifying, we get:

\(4x^2 - 3x - 2\sqrt3 = 0\)

Using the quadratic formula, we can solve for x:

x = (-(-3) ± √((-3)^2 - 4(4)(-2√3))) / (2(4))

x = (3 ± √(9 + 32√3)) / 8

Therefore, x = (3 ± √(9 + 32√3)) / 8, which can be expressed in surd form as (3 + √(9 + 32√3)) / 8 or (3 - √(9 + 32√3)) / 8.

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Answer:

The height of the building is 2√165 (m)

Step-by-step explanation:

You can imagine that the distance from the top of the building to the tip of the shadow is like hypotenuse, the length of a shadow of a building is like squared angle edge

Assume the height of the building is x

According to  Pythagorean theorem:

28^2 + x^2 = 38^2

x^2 = 38^2 - 28^2

x = √(38^2 - 28^2)

x= 2√165 (m)

Rate of fall is 10%=0.1

Now

Answer:

4881 customers

Step-by-step explanation:

Given :

⇒ Falling 10% per month

⇒ 14,000 customers this month

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

Creating the function :

⇒ Let y = remaining customers and x = number of months from now

⇒ y = (14,000)(1 - 0.1)ˣ = (14,000)(0.9)ˣ

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

Solving :

⇒ y = (14,000)(0.9)¹⁰

⇒ y = (14,000)(0.34867844)

⇒ y = 4881 customers (nearest whole person)

Answer:

29 : 8

.........................

An absolute value is the numerical value of a number without consideration of its sign. It can be represented graphically by a straight line known as a number line. Absolute value equations are equations that include absolute values of variables or unknown quantities. The following are examples of how to write an absolute value equation in the form |x-c|=d to fit the provided solution sets:

Example 1:

Solution set: {x|x≤-3 or x≥1}
Absolute value equation: |x-(-1)|=4
Explanation: -1 is the midpoint of the two ranges (-3 and 1) in the solution set. |x-(-1)|=|x+1| is the absolute value expression for the midpoint -1. The distance d from -1 to the solutions' furthest endpoints, 1 and -3, is four, hence the value of d in the absolute value equation is 4.
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