A triangle has side lengths of 5,6 and 8. Is it a right triangle?Explain why or why not?

Given

First : They assembled 20 regular wreaths and 16 deluxe wreaths, which used a total of 140 pinecones

Let's represent regular wreaths with r

and

Let's represent deluxe wreaths with d

Second: They assembled 20 regular wreaths and 18 deluxe wreaths, using a total of 150 pinecones

We now have

we can now solve simultaneously, by subtracting the equation 1 and 2

We can subsitute d=5 in equation 1 or 2

The final answer

5 pinecones on the deluxe wreath and 3 pinecones on the regular wreath

Explanation:

Finding the LCM:

Given:

To find the value of x, first apply exponential property which is:

Now we have:

Since both bases are equal, let's remove both bases, take the exponent and find x:

Now subtract from both sides:

The value of x is -7

step 1

Find out the slope of the given line

we have

y+1=-(1/2)x

The slope is m=-1/2

Remember that

If two lines are perpendicular

then

their slopes are negative reciprocal

so

The slope of the perpendicular line is

m=2

step 2

Find out the equation of the line in slope-intercept form

y=mx+b

we have

m=2

point (-8,7)

substitute and solve for b

7=2(-8)+b

7=-16+b

b=23

therefore

the equation of the line is

EXPLANATION:

We are given an exponential function as shown below;

When shifted one unit right we have the following;

We also are given the quadratic function;

When shifted one unit right and one unit up, we would have;

The equations for both functions after the transformations would be;

The graphs of both equations is now shown below;

The two points where m(x) and n(x) intersect are;

ANSWER:

We want to know the maximum value for f(x). In this case, we have that when f(x) = 10, x =6. Then, the ordered pair (6,10) represents the maximum from the table

Given the values shown in the table, let be "x" the Vehicle weight (in hundreds of lbs.) and "y" the City MPG (Miles per gallon).

1. Given the points:

You can plot them on a Coordinate Plane:

2. Notice the following line:

Notice that the points are closed to the red line that has a negative slope. Therefore, you can identify that when one of the variables increases, the other variable decreases. Hence, you can conclude that the data describes a negative correlation.

3. You need to follow these steps to find the equation of the line of best fit:

- You need to find the average of the x-values by adding them and dividing the Sum by the number of x-values:

- Find the average of the y-values:

- Find:

Where this represents each x-values in the data set:

You get:

- Find:

You get:

- Find:

You get:

- Find:

You can find it by squaring each Difference of the x-values and the Mean. you get:

- Find the slope of the line

- Find the y-intercept with this formula:

Therefore, the line in Slope-Intercept Form:

is the following:

4. If:

You can predict the vehicle weight by substituting that value into the equation found in Part 3, and solving for "x":

5. If a vehicle weighs 1500 pounds, then:

Then you can determine the expected city MPG of the vehicle by substituting this value into the equation and evaluating:

Hence, the answers are:

1.

2. It describes a negative correlation.

3.

4.

5.

Given the coordinates of L and M

To get the length between the two coordinates, we will follow the steps below

Step 1: List out the coordinates of L and M

step 2: calculate the distance

Since they both have the same x coordinates, we can simply subtract the y-coordinate of L from M

Therefore, the distance LM is 7 units

Given the function c(x) = 50x where c (x) is the number of words. In 6.5 minutes, the number of words that can be typed is

= 50 * 6.5

= 325 words

Vertical angles are opposite angles that also are congruent angles.

Then, due to the given figure, you can conclude that the vertical angles are:

angle FGD and angle of 15° are vertical, then

First we have to solve the substraction on the right side of the equation:

Now we add 2x on both sides:

Now add 5 on both sides:

And divide both sides by 2:

The value of x that makes the equation true is 4

If [tex]5\frac{1}{8}[/tex] is divided by 10, 41/80 is the quotient.

Fractions are used to depict the components of a whole or group of items. Two components make up a fraction. The numerator is the number that appears at the top of the line. It specifies how many identically sized pieces of the entire event or collection were collected. The denominator is the quantity listed below the line.

The total number of identical objects in a collection or the total number of equal sections that the whole is divided into are both displayed. A fraction can be expressed in one of three different ways: as a fraction, a percentage, or a decimal. The first and most popular way to express a fraction is in the form of the letter ab. Here, a and b are referred to as the numerator and denominator, respectively.

The given expressions are

[tex]5\frac{1}{8}[/tex] / 10

41/ 8 ÷10

= 41/8 × 1/10

= 41/80

This is the quotient.

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Solution

For this case we can use the following formula:

William, this is the solution:

An= -2n - 4

A1 = -2 * 1 - 4

A1 = -6

A2 = -2 * 2 - 4

A2 = -4 - 4

A2 = -8

A3 = -2 * 3 - 4

A3 = -6 - 4

A3 = -10

A4 = -2 * 4 - 4

A4 = -8 - 4

A4 = - 12

A5 = -2 * 5 - 4

A5 = -10 - 4

A5 = - 14

Therefore, the total asset account balance is $400 and total liabilities and stockholders’ equity balance is $400.

Given,

The selling cost of shelving units that are 10 years old = $800

Original cost of shelving units = $6400

Estimated residual value for 10 years = $400

Assets = Liabilities +Stockholders equity

Accumulated depreciation for 10 years=[(Original cost of the equipment-Residual value) / Useful life] ×10 years

=[($6400-$400)/10 years]×10 years

=$600×10 years

=$6000

Book value equipment=Original cost of the equipment-Accumulated depreciation for 10 years

=$6400-$6000

=$400

Calculate gain on sale of equipment.

Gain on equipment sale equals selling price minus book value of equipment

=$800-$400

=$400

Therefore, the total asset account balance is $400 and total liabilities and stockholders’ equity balance is $400.

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Hello there. To solve this question, we'll have to remember some properties about unit conversions.

We want to convert 90 meters per minute to meters per second.

Remember 1 minute is equal to 60 seconds, therefore we can write

90 meters per 60 seconds

Simplify it by a factor of 30

3 meters per 2 seconds

Which is the same as

1.5 meters per second

The unit multiplier was divide the number by 60, in order to get minutes to seconds and, therefore, find the value in m/s.

The first thing we have to do is find the pascal coefficients of the triangle for this we use the following image

From our exercise we know that

Then our coefficients of Pascal's triangle are 1 - 3 - 3 - 1

Using the right triangle we get:

We substitute the values of a and b in our new expression to find our solution

So the solution is:

812.50 ------------------------ 65%

x ----------------------- 100%

x = (100 x 812.50) / 65

x = 81250 / 65

x = $1250

The original price was $1250.00

To answer this question, we need to translate each of the expressions into algebraic form. Then we have:

1. We have that one number is 2 less than a second number.

In this case, let x be one of the numbers, and y the second number. Now, we can write the expression as follows:

2. We also have that twice the second number is 2 less than 3 times the first:

3. And now, we have the following system of equations:

4. And we can solve by substitution as follows:

5. To solve this equation, we can subtract 2y from both sides, and add 8 from both sides too:

6. Since y = 8, then we can use one of the original equations to find x as follows:

Therefore, we have that both numbers are x = 6, and y = 8.

In summary, we have that:

• The smaller number is 6.

• The larger number is 8.

Reason:

When we cube the (r^2) in the numerator, we're multiplying it by itself 3 times

(r^2)^3 = (r^2)*(r^2)*(r^2) = r^(2+2+2) = r^6

or a shortcut is to say

(r^2)^3 = r^(2*3) = r^6

That explains how we get r^6 in the numerator of the final answer.

The s^3 in the denominator is simply the result of cubing the 's' in the original expression.

Answer:

r2x3 / s1x3

Step-by-step explanation:

Raise both the numerator and denominator to the third power. Multiply by the exponents in the numerator (2x3). Multiply the exponents in the denominator (1x3). PF.

Given:

Linear equation in x and y:

An equation of the form y = mx + c or ax + by +c =0 is a linear equation as the degree of both variables x and y is one.

(a) 2x = 5 + y:

The equation can be written as:

This is of the form of ax+by+c=0 so it is linear.

Here, a=2, b= 1, c= - 5

(b) y = 5x + 3:

This is already in the form of ax + by+ c=0 so it also linear.

Here, a= 5 , b = - 1, c= 3

Given:

Given the equation

Required: Rewrite the given equation.

Explanation:

Take the common coefficients of p and add the constants.

Final Answer: The given equation can be rewritten as 4.19p+6.1 = 0

The graph of a function and its inverse are always symmetrical across the line defined by:

This is true for any function and its inverse.

The formula for calculating the distance between two points is:

Therefore, for thr given points,

You have the following system of equations:

Explanation:

This function is C(n) which means it's a function of n. It is said that n is the number of observed vehicles in a specified time interval. It cannot be negative and it has to be an integer. Therefore the domain is all integers greater or equal than zero.

Answer:

4) {0, 1, 2, 3...}

36 is higher

positive numbers are higher than negative numbers

Hence 36 is higher than -32

Answer:

√52 feet

Step-by-step explanation:

5 - -1 = 6

-2 - 2 = -4

6 = change in y

-4 = change in x

a² + b² = c² (pythagoras theorem)

6² = 36

-4² = 16

36 + 16 = 52

c² = 52

c = √52

Answer: square root of 52 feet

Given:

A recipe has a ratio of 6 cups of flour to 2 cups of water.

We need to find the number of cups of water for each cups of flour

So, let the number of cups of water = x

We have the following ratio:

Solve for x:

so, the answer will be:

There are 1/3 cups of water for each cup of flour.