Calculate the distance point A (−3, 6, 2) and point B (4, −5, 6) are from the origin. Round to the nearest tenth.

Approximately how much farther from the origin is point B than point A?

1.8 units
2.4 units
3.2 units
4.0 units

Answer:

The additive inverse of a real number is the opposite of that number on the real number line. For example, the opposite of −3 is 3. A number and its additive inverse have a sum of 0. The sum of any number and its opposite is equal to zero.

Answer:

(4x - 5)(x + 2).

Step-by-step explanation:

4x^2 + 3x - 10

4 * 10 = -40

We need 2 numbers whose product is -40 and whose sum is +3.

Theses are = - 5 and + 8.

So we write:

4x^2 + 8x + -5x - 10

= 4x(x + 2) - 5(x + 2)

= (4x - 5)(x + 2).

Answer:

-2.5

Step-by-step explanation:

-2.5 is greater.

Answer:

138600

Step-by-step explanation:

154000/10=15400

154000-15400=138600

Answer:

5.15

Step-by-step explanation:

Answer:

14 months

Step-by-step explanation:

501 - 25 = 476

476 / 34 = 14

Answer:Cost = $33 per month + Fee 1.  C(m) = 33m + F 33(6) + F = 228198 + F = 228F = $30 membership fee C(m) = 33m + 30 2.  At 9 months:  33(9) + 30 = $327

Step-by-step explanation:

Answer:

A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

Answer:

A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

Step-by-step explanation:

8 cans equal 2 and not 1/4

Answer:

Equation : 6x + 8 = 26

x = 3

Step-by-step explanation:

The given shape is a rectangle.

Here ( x + 1 ) cm and ( 2x + 3 ) cm are the sides,

where,

Length ( l ) = 2x + 3

Breadth ( b ) = x + 1

Perimeter is the sum of all sides.

Formula : -

Perimeter of a rectangle = 2 ( l + b )

Perimeter of a rectangle

= 2 ( 2x + 3 + x + 1 )

= 2 ( 2x + x + 3 + 1 )

= 2 ( 3x + 4 )

= 2 ( 3x ) + 2 ( 4 )

= 6x + 8

The given value of the perimeter is 26 cm.

So the equation is,

6x + 8 = 26

The value of x can be found by solving this equation.

6x + 8 = 26

Subtract 8 on both sides,

6x = 26 - 8

6x = 18

Divide 6 on both sides,

x = 18 / 6

x = 3

Hence the value of x is 3.

Step-by-step explanation:

Let people behind you=x

People ahead of you will be x+2

Total number of people in the line(including you) = x+(x+2)+1 = 2x+3

Also, 2x+3=3x

So x=3

People ahead = x+2 = 5

People behind = x = 3

Answer:B; (12,24) (18,36), etc

Step-by-step explanation:divide y and x, in this case 24÷2=12

The ribbon cuts into the pieces are (12,24) (18,36), (24, 48), and (30, 60) which satisfy the equation.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

A ribbon is cut into 2 pieces so that piece x is half as long, in feet, as piece y.

x = y/2

or

2x = y

Based on the above equation the pairs of (12,24) (18,36), (24, 48), and (30, 60) satisfy the equation.

Thus, the ribbon cuts into the pieces are (12,24) (18,36), (24, 48), and (30, 60) which satisfy the equation.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Answer:

105

Step-by-step explanation:

42/4 = 10.5 windows/hour

10.5 x 10 = 105 windows

Answer:

28.26

Step-by-step explanation:

Use the formula, πr^2 to find the area of circles

Answer:

30%

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The highest power(exponent) of the variable 'x' is the degree of the polynomial.

In this sum the highest power of x is 4

Degree = 4

Step-by-step explanation:

the first 9 pages have 1 digit (1 to 9).

the next 90 pages have 2 digits (10 to 99).

that is in total

9×1 + 90×2 = 189 digits.

that leaves us

459 - 189 = 270 digits for pages with 3 digit page numbers (100 and up).

there are 900 pages with 3 digit page numbers = 2700 digits, which is larger than 270.

so, the solution must be in this interval (there are no pages with 4 digit page numbers like 1000).

after how many pages with 3 digit pages numbers do we have a total of 270 digits ?

270/3 = 90 pages.

so, we have 9 + 90 + 90 = 189 pages in the book.

Answer:

Monthly budget = $4444.44

Step-by-step explanation:

Let the monthly budget of Edwards family = x dollars

18% of monthly budget spends on groceries

Hence,

18% of x = 800

[tex]{\dfrac{ 18 }{ 100 } \times x = 800}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:100\:to\:cancel\:out\:the\:fraction}[/tex]

[tex]100 \times \dfrac{ 18 }{ 100 } x = 800 \times 100[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]18x = 80000[/tex]

[tex]\mathrm{Divide\:18\:from\:both\:sides}[/tex]

[tex]\dfrac{ 18x }{ 18 } = \dfrac{ 80000 }{ 18 }[/tex]

[tex]x = 4444.444444444[/tex]

Rounded to the nearest cent: $4444.44

A C D

Step-by-step explanation:

Answer:

There are three solutions. I hope this helps!

Answer:

line p

Step-by-step explanation:

Line p forms both angle 3 and angle 5 by passing through other lines. It is also a transversal because it passes through a system of lines (line n and l).

Answer:

A = 25 ft²

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 10 and h = 5 , then

A = [tex]\frac{1}{2}[/tex] × 10 × 5 = 5 × 5 = 25 ft²

Answer:

3/2

Step-by-step explanation:

Just count the rise over run

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Use rise/run.

Between points, it rises by 3, then runs laterally by 2.

Thus, 3/2.

Answer:

x = 8

Step-by-step explanation:

[tex] - \frac{1}{2} x + 3 = - x + 7[/tex]

Collect like terms and simplify

[tex] - \frac{1}{2} x + x = 7 - 3 \\ \frac{1}{2} x = 4[/tex]

Cross Multiply

[tex]x \times 1 = 2 \times 4 \\ x = 8[/tex]

Answer:

x = 8

Step-by-step explanation:

-1/2x+3=-x+7

Add x to each side

-1/2x+x+3=-x+x+7

1/2x+3=7

Subtract 3 from each side

1/2x +3-3=7-3

1/2x=4

Multiply by 2

1/2x*2 = 4*2

x = 8

Answer:

5

Step-by-step explanation:

Answer: {-1, 0, 1}

Explanation: The range of a relation is the set of all y-coordinates.

So the range is {1, 0, -1} which would be your answer.

Note however that the range is usually written in ascending order.

In other words, from least to greatest.

So our range can be written as {-1, 0, 1}.

Answer:

Given triangles are similar

Step-by-step explanation:

We can tell that given triangles are similar by comparing their side lengths.

HG is proportional to KJ

GI is proportional to JL

IH is proportional to LK

we can see the proportion better if we write it like this:

25/75 = 1/3

30/90 = 1/3

19/57 = 1/3

Question: Find the focus of the parabola: f(x) = 1/4(x – 3)^2 + 1

Answer: Focus: (3, 2)

Step-by-step explanation:

Use the vertex form to find the focus. Hope this helps!