Think of a number. Double the number. Substract 6 from the result and divide the answer by 2. The quotien will be 20. What is the number?

Answer:

r≤5

Step-by-step explanation:

Steps are in the photo. Hope this helps.

Answer:

Step-by-step explanation:

It just so happens that all the numbers and variables in that expression are perfect squares. 4 has a square root of 2; 9 has a square root of 3; and b^6 has a square root of b^3. Putting that altogether into one simplified expression that we can square is:

[tex](\frac{2}{3}b^3)^2[/tex]

The expression as a square of a monomial (4/9b⁶) is  (2²/3²b³)²

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

A monomial is a polynomial that has only one term.

Given, a monomial (4/9b⁶).

To write this monomial in terms of as a square of a monomial we'll factor out the power of 2 from each f the constants and variables contained in the monomial which is,

= (2²/3²b³)²

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10. 4w^2 + 7w^2 + 7z^2

Combine each term with the same variable.

11w^2 + 7z^2

This is in simplest form.

11. 3x + 4(5x + 2)

Multiply each term inside the parentheses by 4.

3x + 20x + 8

Combine all the terms with the same variable.

23x + 8

This is in simplest form.

Answer:

The distance between the point is 1806 unit

Step-by-step explanation:

Given that,

The distance between the point in Maine and the point in Tennessee.

Suppose, The points are (-801,670) and (990,900)

We need to calculate the distance between the point

Using formula of distance

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

Put the value into the formula

[tex]d=\sqrt{(990-(-801))^2+(900-670)^2}[/tex]

[tex]d=1806\ unit[/tex]

Hence, The distance between the point is 1806 unit.

Answer:

23

Step-by-step explanation:

∠ABE=∠BEF=4x (AC║EF)

∠DBE=5x

∠DBF=180=∠DBE+EBF=5x+65

5x=180-65

x=23

Area of a rectangle = w*l

w = width

l = length

In our problem,

Area = 105mi^2

l = x

w = x - 8

Let's plug our values into the formula above.

105mi^2 = x(x - 8)

Distribute the x

105mi^2 = x^2 - 8x

Subtract 105mi^2 from both sides.

0 = x^2 - 8x - 105

Let's factor the right side.

0 = (x - 15)(x + 7)

Set both terms equal to 0

x - 15 = 0

Add 15 to both sides.

x = 15

x + 7 = 0

Subtract 7 from both sides.

x = -7

Since the length cant be a negative number, 15 is the correct answer.

Length = x = 15 mi

Width = x - 8 = 15 - 8 = 7 mi

The length of the rectangle is 15 miles while the width is 7 miles.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

The perimeter of rectangle = 2( length + width).

Suppose the length is L while the width is W.

Area of rectangle = length × width.

L x W = 105

W = L - 8

By substitution,

L x (L - 8) = 105

L² - 8L - 105 = 0

L² - 15L + 7L - 105 = 0

L(L - 15) + 7(L - 15) = 0

(L + 7)(L - 15) = 0

L = -7, L = 15

Since length will not be negative thus L = 15 miles.

W = 15 - 8 = 7 miles

Hence "The length of the rectangle is 15 miles while the width is 7 miles."

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Answer:

x ≈ 28.7 ft

Step-by-step explanation:

Step 1: Define variables

Height (vertical leg of triangle) = 2 ft

∅ = 4°

We are trying to find the length of the hypotenuse x

Step 2: Use trig

sin∅ = opposite over hypotenuse

sin4° = 2/x

Step 3: Solve for x

xsin4° = 2

x = 2/sin4°

x = 28.6712

x ≈ 28.7 ft

Answer:

the Length of ramp is 28.7 feet.

Step-by-step explanation:

see attached image for clarity

give:

height (h) of clinic = 2 feet

angle of ramp = 4°

find:

Length (L) of ramp

using the formula : sin(Ф) =                height (h)                    

                                              Length of ramp (hypothenuse)

plugin values into the formula:

sin (4) =    2    

               L

L   =    2    

      sin(4)

L = 28.7 feet

therefore,

the Length of ramp is 28.7 feet.

Answer:

70 degrees Fahrenheit

Answer:

70

Step-by-step explanation:

We started at 73 degrees and the temperature rose by 8 degrees so 73 + 8 = 81. At 4 pm, the temperature rose again by 5 degrees so 81 + 5 = 86. By 9 pm, the temperature dropped 16 degrees so 86 - 16 = 70, Therefore, the temperature at 9 pm was 70 degrees.

Answer:

I think the answer is A

Step-by-step explanation:

Because you add both latitude (22.27+ -6.20) = -28.47 because a negative plus a positive equals a a negative then you add the longitude (114.15 -106.80) = 7.35 so the answer would be

-28.47 latitude and 7.35 longitude.

the answer would be C.)28.47 lat -7.35 long

Answer:

4i

Step-by-step explanation:

I hope its not too complicated

[tex]\sqrt{-16} \\\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{-a}=\sqrt{-1}\sqrt{a}\\\\\sqrt{-16}=\sqrt{-1}\sqrt{16}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\=\sqrt{16}i\\\\\sqrt{16}=4\\\\=4i[/tex]

Answer:

Step-by-step explanation:

Coordinate geometry is always used in a certain cartesian system such as the X-Y cartesian system to represents the location of a point.

For example a point  

P  ( x , y )  , occupies an identical position in the cartesian system and the coordinate 'x' and 'y' represents the distances of the point from the X and Y-axis respectively with respect to the origin.  If a point  

P ( x , y )  between two other points  

A ( x 1 , y 1 )  

and  

B ( x 2 , y 2 ) , divides in just two halfs then point P is known as the Midpoint of the points A and B.

And

P ( x = x 1 + x 2 2 ,     y = y 1 + y 2 2 )

Answer:

Step-by-step explanation:

Hello,

We know that

[tex]|x|=\begin{cases}x & \text{if } x\geq 0 \\ -x & \text{if } x<0 \end{cases}[/tex]

So we need to take into account two cases

Case 1 - [tex]x-3\geq 0<=> x\geq 3[/tex]

Then, |x-3|=x-3

||x-3|-2|=|x-3-2|=|x-5|

Either x-5 is positive and then |x-5|=x-5 and

[tex]|x-5|\leq 1<=>x-5\leq 1<=>x\leq 6[/tex]

Or x-5 is negative and then, |x-5|=-x+5

[tex]|x-5|\leq 1<=>-x+5\leq 1<=>4\leq x[/tex]

So the solution is [4;6]

Case 2 - [tex]x-3< 0<=> x< 3[/tex]

Then, |x-3|=-x+3

||x-3|-2|=|-x+3-2|=|-x+1|

Either -x+1 is positive and then |-x+1|=-x+1 and

[tex]|-x+1|\leq 1<=>-x+1\leq 1<=>0\leq x[/tex]

Or -x+1 is negative and then, |-x+1|=x-1

[tex]|-x+1|\leq 1<=>x-1\leq 1<=>x\leq 2[/tex]

So the solution is [0;2]

Conclusion

The solution is [0;2]∪[4;6]

Thanks

Answer:

[tex]\boxed{k = -6}[/tex]

Step-by-step explanation:

[tex]13 +\frac{k}{3} =11[/tex]

→ Multiply everything by 3

[tex]39 + k = 33[/tex]

→ Minus 39 from both sides to isolate k

[tex]k = -6[/tex]

Answer:

the answer is three hundred thousand

Answer:

(18+2)x($1.35+$3.45)= $96

Could I please have BRAINLIEST.

Answer:

Your first instinct might be to go ahead and add the x terms together, BUT this would be a bad thing to do! You cannot combine the x2 and 2x, because the first term has an exponent (2) and the second one does not have an exponent; therefore, you cannot add them together!

Step-by-step explanation:

Answer:

Not sure if you mean multiplying or adding by "combine". But generally the rule of thumb with exponents is when you are adding and they are not like terms, you cannot combine the two terms together. So in other words, they would be left as x²+x. However, when you are multiplying you can add the exponents together. So, it will be like this: x²·x = x³

Answer: Thumb drive, ROM, Hard-disk

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x=[tex]\frac{p + fy}{K - c}[/tex]

Answer:

round it to the nearest 10th?

Step-by-step explanation:

that's what I do at least.

Answer: Round up or down.

Step-by-step explanation: When you round up, look at the number to the right of the number you wanna round. If it’s less than 5, you round down, if it’s more than 5, you round up. On a number line, for ex. Let’s say you wanna round 550 to hundreds, 600 or 500, 600 would be the answer because 550 is more closer to 600 by default.

Answer:

c

Step-by-step explanation:

Answer:

12 + (8k) = 48

k= 9/2

Step-by-step explanation:

Answer:

Multiplication

Step-by-step explanation:

Follow GEMDAS or PEMDAS. I would recommend GEMDAS. GEMDAS stands for Grouping symbols, exponents, multiply, divide, addition, subtraction. GO form the order G to S

Answer:

36

Step-by-step explanation:

Plug in -7 as m and 2 as n into the expression:

4 | m - n |

4 | -7 -2 |

Solve:

4 | -9 |

4(9)

= 36

Answer:

the answer is c for the second one and the first one is A

Answer:

Step-by-step explanation:

Volume = Base * height

V=2(7 1/3)

V=44/3 OR 14 2/3  Or 14.666

The inverse of g(x) is x² + 7

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The inverse function is defined as a function obtained by reversing the given function.

To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.

We have to find the inverse of the function below :

g(x) = √(x-7)

So after switching x and y,

g(x) = y = √(x - 7)

becomes

x = √(y - 7)

Now, we solve for y regularly.

g(x) = y = √(x - 7)

Solve for y :

⇒ y² = x - 7

⇒ x² = y - 7

⇒ y = x² + 7

Therefore the inverse of g(x) is x² + 7

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Step-by-step explanation:

Y=90° as its a right angled triangle

Answer:

vertical angles theorem

Step-by-step explanation:

Just took the test

Answer:

A. corresponding angles theorem

Step-by-step explanation: