value of x in the diagram shown is:

How are the algebraic expressions divided?

a) (4x4-12x³ + 7x² + 3x - 2) by (2x²-3x-2) = (2x-1) (x-1)

Factorization of the numerator ,

[tex]4x^4-12x^3 + 7x^2 + 3x - 2\\\\= (4x^4+ 7x^2 - 2) -12x^3+3x\\\\= (4x^4- x^2+ 8x^2 - 2) -12x^3+3x\\\\=(4x^4- x^2)+ (8x^2 - 2) -12x^3+3x\\\\= x^2(4x^2- 1)+ 2( 4x^2 - 1) -12x^3+3x\\\\=(4x^2- 1)(x^2+2)-12x^3+3x\\\\=(4x^2- 1)(x^2+2)+(-12x^3+3x)\\\\=(4x^2- 1)(x^2+2)-3x(4x^2-1)\\\\=(4x^2- 1)(x^2+2-3x)\\\\=(4x^2- 1)(x^2-x-2x+2)\\\\=(4x^2- 1)((x^2-x)+(-2x+2))\\\\=(4x^2- 1)(x(x-1)-2(x-1))\\\\=(4x^2- 1)(x-1)(x-2)\\\\=(2x+1)(2x-1)(x-1)(x-2)[/tex]-----(1)

Factorization the denominator ,

[tex](2x^2-3x-2)\\\\= (2x^2+x-4x-2)\\\\= (2x^2+x)+(-4x-2)\\\\=x(2x+1)-2(2x+1)\\\\=(2x+1)(x-2)[/tex]                          ----(2)

Divide (1) by (2)

= [tex]\frac{(2x+1)(2x-1)(x-1)(x-2)}{(2x+1)(x-2)}[/tex]

= (2x-1) (x-1)

b) (x² + 4y¹) by (x² + 2y²-2xy)

[tex]\frac{x^{2} +4y}{x^{2} +2y^{2} -2xy}[/tex]

This is the simplest form of the algebraic expression.

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Answer:

Step-by-step explanation:

ur mom

The coordinates which divide the segment with endpoint (-1,-2) and (8,4) in the ratio 2 to 1 are (5,2)

What is section formula?

Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. The section formula can be given as

[tex](\frac{mx_{2}+nx_{1} }{m+n} ,[/tex][tex]\frac{my_{2}+ny_{1} }{m+n})[/tex] where [tex](x_{1},y_{1} ),(x_{2},y_{2} )[/tex] are the endpoints of the segment and this points are divided in the ratio [tex]m:n[/tex]

We are given the coordinates as (-1,-2) and (8,4)

This segment is divided in ratio 2:1

We use section formula to find the coordinates

the x- coordinates can be given as

[tex]x=\frac{2(8)+1(-1)}{2+1}[/tex]

[tex]x=\frac{16-1}{3}\\[/tex]

[tex]x=\frac{15}{3}[/tex]

[tex]x=5[/tex]

Similarly the y coordinate can be given as

[tex]y=\frac{2(4)+1(-2)}{2+1}[/tex]

[tex]y=\frac{8-2}{3}[/tex]

[tex]y=\frac{6}{3}[/tex]

[tex]y=2[/tex]

Hence the coordinates which divide the segment with endpoint (-1,-2) and (8,4) in the ratio 2 to 1 are (5,2)

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Find intersection of

BD , AD DC

Then

BD = BE^2 + ED^2

R = AD = abc/4S = 42• (2•28)•

It will take Cindy and Latasha and average of 24.44 years to have equal salary

Equivalent equations are algebraic equations having identical solutions or roots. In this question, we would use x to represent the number of years it will take to earn or have equal amount.

The equation can be written as

[tex]40000 + 3300x = 62000 + 2400x \\[/tex]

Each side of the equation represents the increase in salary per year of each person

Lets collect like terms and solve for x

[tex]62000-40000 = 3300x - 2400x\\22000 = 900x\\x = \frac{220}{9}\\x = 24.444[/tex]

It will take 24.44 years for them to have equal amount of salary.

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Answer:

13 inches

Step-by-step explanation:

So, the hypotenus is the longest side of a right triangle, so it would be 13. But, if you really want to double check, you can take a2 + b2 = c2 and fill in each letter with a number until it is right. So, we'll do a=5, b=12, and c=13. 5 squared is 25, 12 squared is 144, and 13 squared is 169. 144+25=169.

Answer:

$3015

Step-by-step explanation:

Answer:

$3015

Step-by-step explanation:

Comment

She earned 9% of 33500

To replace th4 % sign, you always divide the number given by 100.

So 9% as a decimal is 9/100 = 0.09. Notice where the 100 goes. It is right underneath the 9. So you are dividing by 100.

So she earned

0.9 * 33500          =      $3015

All three triangles are congruent as, △ABC ≅ △ACD ≅ △CBD under AA condition

So, in the given image filling the blanks as follows:

(A) ∠ACB = ∠CDA = ∠CDB = 90° (Definition of right triangles)

(B) Triangle angle sum theorem:

It is enough to prove that:

(C) C.P.C.T (Corresponding parts of congurent triangles)

(D) △ABC ≅ △ACD ≅ △CBD under AA condition.

Therefore, all three triangles are congruent as, △ABC ≅ △ACD ≅ △CBD under AA condition

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Lets suppose we used an example of two children, one of them having $7.50 and other one having $8.40, and the total money will be the addition i.e., $15.9 using decimal operations.

As per the question statement, we are supposed to write and solve a word problem for decimal addition. Let the statement be : Two children, one of them have $7.50 and other one having $8.40, the sum total money would be____".

We are supposed to add both decimal numbers:

Total money = $7.50 + $8.40

Total money = $15.9

Hence, the sum total of the money of both the children is $15.9 using the decimal operations.

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Step-by-step explanation:

we need to remember the formula for the circumference of a circle :

2×pi×r

or

2×r × pi

what is 2×r ? the double radius ? 2 times the radius is the diameter.

so, we know

diameter × pi = 34 ft

diameter = 34/pi = 10.82253613... ft

Given:

The equation is,

Explanation:

Substitute 3 for x and 2 for y in the equation to check for the solution.

Point (3,2) not satisfy the equation. So point (3,2) is not a solution of equation

Answer:A

Step-by-step explanation:

When Kara is sorting buttons by length for a craft project  and the line plot shows the length of each button. If Kara lines up all the 3/4 inches buttons, then the total length is  [tex]2\frac{1}{4}[/tex] inches

The length of the button = 3/4 inches

Number of 3/4 inch buttons = 3 buttons

Then the total length = Number of 3/4 inch buttons × The length of the button

Substitute the values in the equation

The total length = 3×(3/4)

= 9/4 inches

Convert the simple fraction to the mixed fraction

9/4 inches = [tex]2\frac{1}{4}[/tex] inches

Hence, when Kara is sorting buttons by length for a craft project  and the line plot shows the length of each button. If Kara lines up all the 3/4 inches buttons, then the total length is  [tex]2\frac{1}{4}[/tex] inches.

The complete question is

Kara is sorting buttons by length for a craft project. the line plot shows the length of each button. if Kara lines up all the 3/4-inch button, what would be the total length?

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Answer:

x=65

y=32

Step-by-step explanation:

2x+x-15=180

combine like terms

3x-15=180

add 15 to both sides

3x=195

divide both sides by 3

x=65

now y's

4y+y+20=180

combine like terms

5y+20=180

subtract 20 from both sides

5y=160

divide both sides by 5

y=32

Answer:

x = 65

y = 32

Step-by-step explanation:

2x + (x - 15) = 180

2x + x - 15

3x - 15 = 180

     +15    +15

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

3x = 195

÷3      ÷3

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

x = 65

4y + (y + 20) = 180

4y + y + 20 =180

5y + 20 = 180

      -20    -20

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

5y = 160

÷5     ÷5

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

y = 32

2x + (x - 15) + 4y + (y + 20) = 360

2(65) + (65 - 15) + 4(32) + (32 + 20) = 360

130 + 50 + 128 + 52 = 360

180 + 180 = 360

360 = 360

I hope this helps!

Answer:

B)4+5×(3^2-9)÷3^2 C)

Step-by-step explanation:

The value of the x for the two given parallel lines is 80.

For the given question;

The value of the angles are given in the form of equation.

∠1 + (12x + 7) = 180 (linear pair)

∠1 = 180 - 12x - 7

∠1 = 173 - 12x

Now,

∠1 = 8x + 13 (corresponding angles)

Put the value of ∠1.

173 - 12x = 8x + 13

On simplification,

173 - 13 = 8x + 12x

160 = 20 x

x = 80

Thus, the value of the x for the two given parallel lines is 80.

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From the given information Tameka is 22 years old.

Given:

The sum of the ages of Tameka, Jessica, and Venessa is 57

And Tameka is 3 years older than Jessica and 6 years older than Venessa

Let Tameka's age be x

Therefore, Jessica' age will be x-3 and Venessa age will be x -6

Therefore according to the question,

x + (x-3) + ( x-6) = 57

=> 3x = 57 + 3 + 6

=> x = 66/3

x= 22years

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The given triangle is a right triangle and measurement of ∠ B = 44°

A triangle in which one angle is a right angle (that is, a 90-degree angle), i.e., in which two sides are perpendicular.

Given a right triangle,

We know the sum of two angles in a right triangle is 90°

∠ A + ∠ B = 90°

46° + ∠ B  = 90°

∠ B = 44°

Hence, the measurement of ∠ B = 44°

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Answer:

A(35

B(-25

Step-by-step explanation:

3x10+5=35

3x-10+5=25

let me break it down more for you

3 x 10= 30 + 5= 35

3 x -10= -30 + 5 = 25

Answer:

See my photo, bro. i am not really sure if this week should be counted in. And the second question's answer i am not really sure. hope it can help.

To make the trip in 25 hrs, the train must travel as fast as 42 mph.

Speed is the rate or the change in distance over change in time.

Speed = d / t

where d = distance

t = time

If a train traveling from Chicago to New York has a speed of 35 mph and took 30 hours to cover the distance from the two locations, then the distance is 1050 miles.

Speed = d / t

35 mph = d / 30 h

d = 1050 miles

Covering the same distance, solve for the rate of speed needed by the train to make the trip in 25 hours.

Speed = d / t

Speed = 1050 miles / 25 hours

Speed = 42 mph

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Answer: 188.6 seconds which is rounded to 189 seconds or 3 minutes and 9 seconds

Step-by-step explanation:

Since we see that a time is given for 1 mile, to find the other distance we multiply the time for 1 mile (49.7 seconds) by the distance required (3.8 miles)

It can be also written like this:

1 mile -------> 49.7 seconds

3.8 miles-------> 49.7 seconds x 3.8 miles = 188.6 seconds rounded to 189 seconds. If asked for minutes, it can be written as 3 minutes and 9 seconds

Hope this helps!

It takes 1.75 minutes to an average customer to wait

The waiting times standard deviation is 1.01

The percentage of a customer wait under a minute is 28.57%

42.86% customers wait more than two minutes

Uniform distribution: n probability theory and statistics, the continuous uniform distribution or rectangular distribution is a family of symmetric probability distributions. The distribution describes an experiment where there is an arbitrary outcome that lies between certain bounds.

Display the 1.00 area under the curve.

The rectangle has a length of 3.5 - 0 = 3.5.

The rectangle's height is 1/3.5.

To determine the area, multiply:

3.5 * 1/3.5 = 1

How long does the average customer have to wait for an elevator?

EV stands for average between high and low.

= (0+3.5)/2

= 1.75

What is the waiting time's standard deviation?

Standard deviation is equal to sqrt(b-a2/12).

= sqrt((3.5-0)^2/12)

= 1.01

What percentage of customers wait under a minute?

It is x/(b-a) = 1/ for less than (3.5-0)

1/3.5

= 28.57%

How many customers wait more than two minutes?

It is 1 - x for greater than (b-a)

(3.5-2)/3.5

= 1.5/3.5

= 42.86%

It takes 1.75 minutes to an average customer to wait

The waiting times standard deviation is 1.01

The percentage of a customer wait under a minute is 28.57%

42.86% customers wait more than two minutes

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Answer:

divide by -9 and you get -3/9x-9 simplify -3/9 to -1/3

Step-by-step explanation:

-1/3x is your slope

Answer:

3, 9, 19

Step-by-step explanation:

substitute n = 1, 2, 3 into the nth term formula

n = 1 : 2(1)² + 1 = 2(1) + 1 = 2 + 1 = 3

n = 2 : 2(2)² + 1 = 2(4) + 1 = 8 + 1 = 9

n = 3 : 2(3)² + 1 = 2(9) + 1 = 18 + 1 = 19

the first 3 terms are 3, 9, 19

(a) Hans bought 11 pounds of rice for $5.

How many dollars did he pay per pound of rice?

the unit price is given by the total price divided by the total weight, therefore:

He payed $0.45 per pound of rice

(b) It takes 16 pounds of seed to completely plant a 3-acre field.

How many pounds of seed are needed per acre?

the pounds of seed per unit area is given by the total pounds used to plant the total acres

so, the answer is 5.33 pounds per acre

Two Spiteful Uncles Walking to the Beat

A Short Story

by Grim

Lee Changseon had always loved deprived Falmouth with its magnificent, mutated mountains. It was a place where he felt delighted.

He was a down to earth, splendid, squash drinker with ruddy eyes and handsome ankle. His friends saw him as a bad, breakable barndon harera. Once, he had even helped a silky chicken cross the road. That's the sort of man he was.

Lee walked over to the window and reflected on his creepy surroundings. The snow flurried like thinking puppies.

Then he saw something in the distance, or rather someone. It was the figure of Morwenna Thornton. Morwenna was a sympathetic friend with skinny eyes and tall ankle.

Lee gulped. He was not prepared for Morwenna.

As Lee stepped outside and Morwenna came closer, he could see the squashed smile on her face.

Morwenna gazed with the affection of 747 sinister ordinary owls. She said, in hushed tones, "I love you and I want Internet access."

Lee looked back, even more sneezy and still fingering the cursed gun. "Morwenna, I just don't need you in my life any more," he replied.

They looked at each other with ecstatic feelings, like two hurt, handsome horses drinking at a very brutal snow storm, which had piano music playing in the background and two spiteful uncles walking to the beat.

Lee regarded Morwenna's skinny eyes and tall ankle. "I feel the same way!" revealed Lee with a delighted grin.

Morwenna looked jumpy, her emotions blushing like a narrow, nosy newspaper.

Then Morwenna came inside for a nice beaker of squash.

THE END lol

Answer:

any number less than 4.3

Step-by-step explanation:

Let x = number that can be added to -4.3

-4.3 + x < 0

Add 4.3 to both sides.

x < 4.3

Answer: any number less than 4.3

Answer: y - 3 = -2(x + 2)