An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)?

Answer:

(6x^2)(x^4 +x^2 + 1)

Step-by-step explanation:

6x^6 + 6x^4 + 6x^2

split it up into parts

6x^6 = (6x^2) * x^4

6x^4 = (6x^2) * x^2

6x^2 = (6x^2) * 1

so you can take out 6x^2 to get

(6x^2)(x^4 +x^2 + 1)

Answer:

x=1

Step-by-step explanation:

x-1/(x+1)(x-5)

When the numerator is equal to zero and the denominator is not equal to zero

x-1= 0

x=1

Answer:

B

Step-by-step explanation:

(x/(x-2))*(3/(x-2))=3x/(x-2)^2=3x/(x^2-4x+4)

Answer:

C (1,11) and (-1,-5)

Step-by-step explanation:

Answer:

x=-113

Step-by-step explanation:

2(3x+4)−3(x−1)=x−1x

Step 1: Simplify both sides of the equation.

2(3x+4)−3(x−1)=x−1x

(2)(3x)+(2)(4)+(−3)(x)+(−3)(−1)=x+−1x(Distribute)

6x+8+−3x+3=x+−x

(6x+−3x)+(8+3)=(x+−x)(Combine Like Terms)

3x+11=0

3x+11=0

Step 2: Subtract 11 from both sides.

3x+11−11=0−11

3x=−11

Step 3: Divide both sides by 3.

3x3=−113

x=−113

Answer:

x=−113

Answer:

(D) There are [tex]5 \frac{1}{2}[/tex]  three-fourths in [tex]4 \frac{1}{8}[/tex]

Step-by-step explanation:

We can see that in this model, the student tried to put [tex]\frac{3}{4}[/tex] into  [tex]4 \frac{1}{8}[/tex]. We know this because the top of Step 2 is  [tex]4 \frac{1}{8}[/tex] and he is counting how many fourths in the bottom.

So this becomes the division statement:

[tex]4 \frac{1}{8} \div \frac{3}{4}[/tex].

We can convert  [tex]4 \frac{1}{8}[/tex] into a mixed number by multiplying 8 and 4, then adding 1.

[tex]\frac{33}{8} \div \frac{3}{4}[/tex].

Multiply by the reciprocal:

[tex]\frac{33}{8} \cdot \frac{4}{3} = \frac{132}{24}[/tex]

Which simplifies down to

[tex]\frac{11}{2}[/tex], which is just [tex]5 \frac{1}{2}[/tex] in improper form.

Hope this helped!

Answer:

D

Step-by-step explanation:

Answer:

y = 1/3x + 4/7

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Formula: y = mx + b

Step 1: Find slope m

m = (1 - 2)/(-3 - 4)

m = -1/-7

m = 1/7

y = 1/7x + b

Step 2: Find y-intercept b

1 = 1/7(3) + b

1 = 3/7 + b

b = 4/7

Step 3: Write linear equation

y = 1/3x + 4/7

Answer:

third option

Step-by-step explanation:

∠ E = 180° - (65 + 53)° = 180° - 118° = 62°, then

∠ A = ∠ F = 53° and ∠ C = ∠ E = 62° , thus

Δ ABC ~ Δ FDE by the AA postulate

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{BC}{DE}[/tex] = [tex]\frac{AB}{FD}[/tex] , substitute values

[tex]\frac{x}{z}[/tex] = [tex]\frac{w}{r}[/tex] ( multiply both sides by z )

x = z × [tex]\frac{w}{r}[/tex]

The expression to solve for x would be x = r × w/z Therefore, the correct option is 3.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Since,

∠ E = 180° - (65 + 53)°

= 180° - 118° = 62°,

then

∠ A = ∠ F = 53° and ∠ C = ∠ E = 62° ,

Thus, Δ ABC ~ Δ FDE are congruent by the AA postulate.

Since the triangles are similar then the ratios of corresponding sides are equal so,

BC / DF = AB / ED

Substitute;

x / r = w/ z ( multiply both sides by z )

x = r × w/z

Therefore, the correct option is 3.

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Answer:

The two inequalities that show the solution to these equations are n ≥ 55 and y ≥ 6

Step-by-step explanation:

We are given two inequalities that we have to solve. We can solve these inequalities as if we are solving for the variable.

n/5 ≥ 11

Multiply by 5 on both sides.

n ≥ 55

Now, let's do the second one.

-3y ≤ -18

Divide by -3 on both sides. When we divide by a negative in inequalities, then the sign is going to flip to its other side. So, this sign (≤) becomes this sign (≥)

y ≥ 6

The first mistake is that she didn't use parenthesis to indicate we're dividing all of one thing (numerator) over all of another expression (denominator)

slope = rise/run = numerator/denominator

So she should write (17-4)/(1-8) to indicate all of "17-4" is divided over all of "1-8"

However, there's another error that your teacher is probably more focused on. Note how 17-4 represents subtracting the y coordinates from left to right. We start with the left point y coordinate 17 and subtract off the right point y coordinate 4

left y - right y = 17 - 4

But then the student swaps the order when they wrote 1-8. Instead it should be 8-1

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

Here's what they should have written (17-4)/(8-1)

This is the same as (4-17)/(1-8)

We can subtract in any order as long as it stays consistent between the numerator and denominator

Answer:

101

Step-by-step explanation:

Given the following :

Number of soldiers = 10201

They are queued such that the number of queues = number of soldiers in each queue

Let number of queues = q

Therefore, if number of queues equals number of soldiers per Q,

Then ;

q × q = 10201

q^2 = 10201

Take the square root of both sides

q = √10201

q = 101

Number of soldiers per queues = 101

Answer:

6:5

Step-by-step explanation:

It's 6:5 trust homie

James should define that the rays must be collinear. the two rays coming from the same point will form collinear rays which will form an angle at end point.

The statement of james should be precise in order to clearly explain the angle formation.

The two non collinear rays will form an angle at end point where they meet with each other.

The defined vertex will form the appropriate angle. there should be defined term for the non collinear rays.

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1: The rays must have a common endpoint

2: Defined term

I took the test and got both right :))

Lo siento, no hablo español pero utilicé Google Translate .

HAHAHAHAHA

Answer:

TRUE

Step-by-step explanation:

The answer is TRUE.

Answer:

8 turns

Step-by-step explanation:

If we want to take a full turn, we'd turn around 360° since we'd be in the same position.

If we turn in intervals of 45°, we need to find how many times 45 goes into 360. To do this, we can divide.

[tex]360\div45=8[/tex]

Hope this helped!

Answer:

It will take 8  45 degree angles to make a full turn

Step-by-step explanation:

360 degrees is a full turn

360/45 =8

It will take 8  45 degree angles to make a full turn

Answer:

Step-by-step explanation:

4

Answer:

-5x-10

Step-by-step explanation:

first rearrange the expression:

4x-9x-8-2

next combine like terms

-5x-10

thats your answer! hope this helps! :)

The value of the expression x + 6y when x = 5 and y = 2 is 17.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

x + 6y

When x = 5 and y = 2

= x + 6y

= 5 + 6 x 2

= 5 + 12

= 17

Thus,

The value is 17.

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Answer:

Factorise : 2(2x-5y)(3x+4y)-6(2x-5y)(x-y). = (2x-5y){2(3x+4y) - 6(x-y)}. = (2x-5y) × 14y. = (2x-5y) × 14 × y. Answered by Yasmeen Khan | 22nd ...

Step-by-step explanation:

Answer:

-10y=-12x-19

-y=  -12x-19

           10

y=  12x + 19

            10

Step-by-step explanation:

form slope intercept its y=mx+b

so you find y what equal .

Answer:

7^6 =A, C

Step-by-step explanation:

The expression equivalent to the 7×7×7×7×7×7 will be 7⁸/7² and (7²)³  thus option (A) and (C) is correct.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given expression,

7×7×7×7×7×7 = 7⁶

Now, in option (A),

7⁸/7² = 7⁸ ⁻ ² = 7⁶

In option (C)

(7²)³ = 7² ˣ ³ = 7⁶

Hence "The expression equivalent to the 7×7×7×7×7×7 will be 7⁸/7² and (7²)³".  

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Answer:

f exponent − 1  ( x )  =  -X/4  +  1/ 6

Plz mark brainlyest

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(whole secant) x (external part) =    (whole secant) x (external part)

( 7+x+2) * 7 = ( 6+8) * 6

Combine like terms

(9+x) *7 = 14*6

Distribute

63 +7x = 84

Subtract 63

63 +7x -63 = 84-63

7x =21

Divide by 7

7x/7 = 21/7

x = 3

KM = x+2+7

      = 3+2+7

      =12

Answer:

[tex]\huge\boxed{KM = 11}[/tex]

Step-by-step explanation:

According to secant - secant theorem:

(MK)(ML) = (MR)(MN)

Where

MK = 7 + x+ 2 = x + 9

ML = 7

MR = 8 + 6 = 14

MN = 6

=> (x+9)(7)= (14)(6)

=> 7x + 63 = 84

Subtracting both sides by 63

=> 7x = 84 - 63

=> 7x = 21

Dividing both sides by 7

=> x = 3

Now,

KM = x + 9

KM = 3 + 9

KM = 11

Answer:

wqhg

Step-by-step explanation:

its situated in u.s, in quahog , rhode island

Answer:

30 cm

Step-by-step explanation:

divide by 10

Answer:

300mm —> 30 cm

1mm= 0.1cm

I hope I helped you^_^

Answer:

=$339,627.36

Step-by-step explanation:

PV = FV/(1+R)^n

where

PV = Present Value

FV = Future Value

R = Rate

n = number of periods

PV

Year 1=$80,000

Year 2=$140,000

Year 3=$220,000

r=12%=0.12

Year 1:

PV=80,000 / (1+0.12)^1

=80,000 / 1.12

=$71,428.57

Year 2:

PV=140,000 / (1+0.12)^2

=140,000 / (1.12)^2

=140,000 / 1.2544

=$111,607.14

Year 3:

PV=220,000 / (1+0.12)^3

=220,000 / (1.12)^3

=220,000 / 1.404928

=$156,591.65

Value of the factory= 71,428.57 + 111,607.14 + 156,591.65

=$339,627.36

Answer:

B. (6,-2)

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2

The center of the circle is (h,k)

So, in this problem, h is 6 and k is -2, so the center of this circle is (6,-2).

Answer:

x = 21.25 , y = 5

Step-by-step explanation:

In a parallelogram

Consecutive angles are supplementary

Opposite angles are congruent, thus

125 + 4x - 30 = 180

4x + 95 = 180 ( subtract 95 from both sides )

4x = 85 ( divide both sides by 4 )

x = 21.25

8y² = 125 ( divide both sides by 5 )

y² = 25 ( take the square root of both sides )

y = [tex]\sqrt{25}[/tex] = 5

Answer:

D) 18

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

[tex]6 - x = - 12 \\ constants \: nearer \\ 6 + 12 = x \\ x = 18 \\ thank \: you[/tex]

Answer:

[tex]x\geq 22[/tex]

Step-by-step explanation:

If someone wants to practice for at least 22 minutes a day, they want to practice 22 minutes or more. This is the same as greater than or equal to, and  we want the minutes practices to be greater than or equal to 22. We can assume minutes practiced is x, and create the inequality [tex]x\geq 22[/tex].

Hope this helped!