You have a list of 7 letters, of which 3 are vowels (a, i, e) and 4 are consonants (b, c, d, f). you need to use these letters to form four-letter words in such a manner that they should contain exactly 2 vowels from the given 3 and exactly 2 consonants from the given 4. how many such four-letter words can you form using the seven given letters?

The slope of EF, FG, GH, and HE is 4, -1/4, 4, and -1/4 respectively. And the length of sides EF, FG, GH, and HE will be √68, √68, √68, and √68 units respectively.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The points E(-4, 6), F(-6, -2), G(2, -4) , and H(4, 4) form quadrilateral EFGH.

Then the slopes are calculated below.

Slope of EF = (6 + 2)/(-4 + 6)

Slope of EF = 8/2

Slope of EF = 4

Slope of FG = (-4 + 2)/(2 + 6)

Slope of FG = -2/8

Slope of FG = -1/4

Slope of GH = (4 + 4)/(4 - 2)

Slope of GH = 8/2

Slope of GH = 4

Slope of HE = (6 - 4)/(-4 - 4)

Slope of HE = -2/8

Slope of HE = -1/4

Then the distance between the point will be

EF² = (-6 + 4)² + (-2 - 6)²

EF² = (-2)² + (-8)²

EF² = 4 + 64

EF = √68

FG² = (2 + 6)² + (-4 + 2)²

FG² = (8)² + (-2)²

FG² = 64 + 4

FG = √68

GH² = (4 - 2)² + (4 + 4)²

GH² = (2)² + (8)²

GH² = 4 + 64

GH = √68

FG² = (4 + 4)² + (4 - 6)²

FG² = (8)² + (-2)²

FG² = 64 + 4

FG = √68

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

#SPJ1

Answer:

first ans =x-7

second ans= x+y/x-y

Step-by-step explanation:

I think you would get it and it doesn't need explanation.

Answer:

100cm²

Step-by-step explanation:

The notepad is square.

The area of a square = length X width.

All the sides of a square are the same length.

Therefore, the area of the notepad = 10 X 10 which equals 100.

Don't forget the units!

The units for area is cm².

The units for volume is cm³.

This is area so your answer is 100cm².

Hope this helped, have a nice day!

Using it's concept, it is found that the probability of tossing heads and rolling a number less than 3 is given by:

C. 1/6

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there were 12 trials. Of those, 2 are H1 and H2, which are heads and a number less than 3, hence the probability is given by:

p = 2/12 = 1/6.

Which means that option C is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:

135

Step-by-step explanation:

every njmber is divided by 3

If 135 is divised by 3 it becomes 45

Hi student, let me help you out! :)

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

We are asked to fill in the missing number in the following sequence:

[tex]\pmb{(~~~),45,15,5}[/tex]

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Since every number here is divided by 3, the common ratio is 3.

To find the missing number, we should multiply 45 times the common ratio, 3:

[tex]\star~\mathrm{\overline{\underline{\overline{\underline{135}}}}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

Answer:

75

Step-by-step explanation:

becAUSE IF YOU TEST IT THATS UR ANSWER

Answer:

He could work 10 hours as a lifeguard, and 5 hours as a tutor

Step-by-step explanation:

If he makes $16 an hour as a lifeguard

            and $18 an hour as a tutor,

He could work 10 times $16, to make $160 for 10 hours.

Now we subtract this from $250, this makes $90.

We know need to find out how many times 18 goes into 90, 5 times.

So we know that he could work 10 hours as a lifeguard and 5 hours as a tutor.

I hope this is right.

I hope this helps too, have a nice day!

Answer:

$25 - $10f

Step-by-step explanation:

Fishie's name is fishy.  

We know Mr. Fishie spent $15 on a tank.  His 10 fish cost 10*$f.  His total is:

Total =15 + 10*f

His change after 2 $20 would be:

$40 - ($15 - $10f), or

$25 - $10f

Answer:

The car would have traveled 25 km.

Step-by-step explanation:

Set up the Proportion [tex]\frac{50}{60} = \frac{x}{30}[/tex]. Solving that proportion gets you an answer of 25, getting you the answer 25 km in 30 minutes. I hope this helps! :)

Answer:

Option 1 -----> -10

Step-by-step explanation:

Substitute a and b into the equation :

-{a-b} =  

-{7-(-3)} =

-{7+3} =

-{10} =

-10 ---> Option 1

Hoep this helped and brainliest please

No it can't be factored , whenever there is addition between two squares , the expression can't be factored

Answer:

first line: 0, 4

explanation: middle of -12 and 12 is 0, then 12/3 = 4

second line: -9, 6

explanation: split into 4 sections per each 12 so 12/4 is 3 and the location of the first unknown point is one section away from 12 so we know the distance between there is 3, leaving -12+3 = -9. Then two sections less than 12 is 12-6 = 6

third line: -12, 4

explanation: 24/6 = 4, -24 + 12 = -12 so 4 units each sections 0 + 4 = 4

The solutions to the equation -2x = 2^x are (1,2) and (2,4)

The attached graph represents the missing part of the question

The equations are given as:

f(x) = -2x

g(x) = 2^x

The solution to -2x = 2^x is the points where the graphs of f(x) and g(x) intersect

From the attached graph, the points of intersection are:

(1,2) and (2,4)

Hence, the solutions to the equation -2x = 2^x are (1,2) and (2,4)

Read more about equation solutions at:

https://brainly.com/question/10186695

#SPJ1

Answer:

19 nickels, 57 dimes, and 114 quarters

Step-by-step explanation:

57/3 = 19

1 × 19 = 19

3 × 19 = 57

6 × 19 = 114

Answer:

None of these answers are correct

Step-by-step explanation:

neither of them are rays.

a ray goes from the center to the edge of a circle.

Answer:

23cm

Step-by-step explanation:

If you multiply like terms you will get the answers. Then you add last to get 23cm

The required length ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).

Given that,
Package that had a length of 2x^2+3x-5/x^2+x-3 centimeters and width x^2-x-5/x^2+x-3.

How much ribbon would be needed to go around the package in centimeters is to be determined.

Perimeter is the measure of the figure on its circumference.

The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.

Quantity of ribbon = perimeter of the rectangular package
                            = 2 * length + 2* width
                            = 2 * (2x^2+3x-5/x^2+x-3) + 2(x^2-x-5/x^2+x-3)
                            = 2 (3x^2 + 2x -10) / (x^2 + x - 3)

Thus, the required length of  ribbon needed to go around the package is 2(3x^2 + 2x -10) / (x^2 + x - 3).

Learn more about perimeter here:

brainly.com/question/6465134

#SPJ2

Answer:

15days.

Step-by-step explanation:

total amount=$85

renting amount=$10

amount per day=$5

to find the number of days the trimmer was rented it will be;

total amount-renting amount ÷$5

$85-$10÷$5

$75÷$5

=15days

Answer:

[tex]a)~5(x-4)(x+1)[/tex]

Step-by-step explanation:

[tex]~~~5x^2 -15x -20\\\\=5(x^2 -3x -4)\\\\=5(x^2 -4x +x -4)\\\\=5\textbf{[}x(x-4) +(x-4)\textbf{]}\\\\=5(x-4)(x+1)[/tex]

The number of years the money was invested with annual compounding is 3.45 years.

When an amount earn interest compounded annually, it means that both the amount invested and the interest earned increases in value once a year.

Number of years =  (In FV / PV) / r

Where:

(In 7255 / 6000) 0.055 = 3.45 years

To learn more about how to determine the number of years, please check: https://brainly.com/question/21841217

#SPJ1

Answer:

[tex]x^{2} +8x+16[/tex]

Step-by-step explanation:

There are 2 ways to find the square of a binomial. You can use FOIL or use a formula. Just remember that the square of a binomial will always be a trinomial.

FOIL

Since we are squaring a binomial we can rewrite the expression as (x+4) * (x+4). FOIL stands for First, Outside, Inside, Last. This explains how to multiply out 2 binomials. This method will give you 4 different terms that can then be combined to find the answer.

First - multiply the first terms of each binomial

Outside - multiply the terms on the outside of both binomials

Inside - multiply the terms on the inside of both binomials

Last - multiply the last terms of each binomial

Now we can combine these terms to create the new polynomial [tex]x^{2} +4x+4x+16[/tex]. Then, combine like terms for the final answer: [tex]x^{2} +8x+16[/tex].

Shortcut

Another way to square binomials is to use the formula [tex]a^{2} +2ab+b^{2}[/tex], where a is the first term and b is the second term. So, for this formula, the binomial would look like (a+b).

So, we can apply this formula by plugging in x for a and 4 for b.

Then, multiply the middle term

Finally, square 4

This gives us the same final answer as the method above.

Step-by-step explanation:

(x+4)^2

you can also expand it

(x+4)(x+4)

x^2+4x+4x+16

x^2+8x+16

Answer:

c. diameter

because when a line intersects the center and even touches the centre is called a diameter

hope it helps.

Answer:

C

Step-by-step explanation:

Diameter

The rate that is equivalent to the rate Paula walked is 1/20 mile/minute OR 0.05 mile/minute

From the question, we are to determine the rate which is equivalent to the rate Paula walked

Using the formula,

[tex]Rate = \frac{Distance}{Time}[/tex]

From the given information,

Distance = 1/12 mile

Time = 5/3 minutes

Putting the parameters into the formula, we get

[tex]Rate =\frac{\frac{1}{12} }{\frac{5}{3} }[/tex]

[tex]Rate = \frac{1}{12} \div \frac{5}{3}[/tex]

[tex]Rate = \frac{1}{12} \times \frac{3}{5}[/tex]

[tex]Rate = \frac{3}{60}[/tex]

[tex]Rate = \frac{1}{20}[/tex] mile/minute

Hence, the rate that is equivalent to the rate Paula walked is 1/20 mile/minute OR 0.05 mile/minute

Learn more on Calculating Rate here: https://brainly.com/question/21208007

#SPJ 1

Answer:

68077

Step-by-step explanation:

he had spent 68077 because by 59425+8652 makes 68077

Answer:

6x-6x56 =-2016

Step-by-step explanation:

You have to subtract, then multiply by 56 to get -2016, as it shows a negative.

The amount of pot holders Brent sold for 58 weeks is 3016

He sells 52 pot holders each week.

This means for every week, he sold 52 pot holders. Therefore, the amount of pot holders he sold for 58 weeks can be solved as follows:

1 week = 52 pot holders

58 weeks  = ?

cross multiply

number of pot sold for 58 weeks = 58 × 52

number of pot sold for 58 weeks = 3016

learn more on sells here:https://brainly.com/question/17562675

#SPJ1

From simplification of the given algebra, the correct answers are as shown below.

1) (a² - b)/(a³b²)

This reduces to;

(a²/(a³b²)) - b/(a³b²)

⇒ a/(ab²) - 1/(a³b)

2) The algebraic expression is;

(b - a)/a³b³

⇒ b/a³b³ - a/a³b³

⇒ 1/a³b² - 1/a²b³

3) The algebraic expression is;

(2 - ab²)/(a²b³)

⇒ (2/(a²b³)) - (ab²)/(a²b³)

⇒ 2/(a²b³)) - 1/(ab)

4) The algebraic expression is;

(2 - ab²)/(a²b³)

⇒ 2/(a²b³) - 1/ab

Read more about Algebra at; https://brainly.com/question/4344214

#SPJ1