Which numbers are a distance of 3 units from 12 on a number line?

Select each correct answer.

3

15

0

9

−9

−15

The correct answer is:

parallel lines  

Explanation:

Parallel lines are two lines in a plane that never intersect.  This means the definition uses the undefined terms "line" and "plane."

The undefined terms line and plane are needed to precisely define which mathematical term will be parallel lines so option (C) will be correct.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

A plane is a surface that is straight in nature a plane has a certain area but in most cases.

We know that parallel line are those lines which not intersect and lies on a plane.

Hence there are two things that are needed first is a line and the second is a plane the plane should be single for both lines not different.

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Answer:

her family will have 6 slices of pizza

Step-by-step explanation:

1/4 is the same as 2/8 so all the slices are worth 1/8 so there are 6 eighths left

Answer:

1.05 m

Step-by-step explanation:

The area of the rectangular backboard is A = 18900 cm²

And the width is w = 1.8 m = 1.8 ×100 = 180 cm

The area of the rectangle is given by

[tex]A=l\cdot w[/tex]

Substituting the known values

[tex]18900=l\cdot 180\\\\l=\frac{18900}{180}\\\\l=105\text{ cm}[/tex]

Thus, the length of the backboard's is 105 cm = 1.05 m

Final answer:

To find the total cost of Veronica's school clothes including 8% tax, first calculate the cost before tax with her specific quantities of pants and shirts, and then add the tax. The final expression shows a total cost of $280.8.

Explanation:

Veronica is shopping for school clothes, and the cost of her clothes can be found using the expression 30x + 25y, where x is the number of pants and y is the number of shirts. She will also have to pay 8% tax. If Veronica buys two pants and eight shirts, the expression to determine the total cost of the bill including 8% tax would be:

The number of days required to feed dog food will be 12.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Keith buys a bag of dog food. The bag contains 16¹/₂ cups of food. If his dog eats 1³/₈ cups a day,

The time will be calculated as:-

T = ( 16¹/₂ ÷ 1³/₈ )

T = ( 16.5 ÷ 1.375 )

T = 12 days

Therefore, the number of days required to feed dog food will be 12.

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In earlier mathematics courses, you have learned concepts like the commutative or associative properties. These concepts help you solve many types of mathematics problems. There are a few properties relating to congruence that will help you solve geometry problems as well. These are especially useful in two-column proofs, which you will learn later in this lesson!

The Reflexive Property of Congruence

The reflexive property of congruence states that any shape is congruent to itself. This may seem obvious, but in a geometric proof, you need to identify every possibility to help you solve a problem. If two triangles share a line segment, you can prove congruence by the reflexive property.

The movie made about $13.5 million per week. 

I hope this helps!

we know that

number line with a closed circle on negative [tex]6[/tex] and [tex]5[/tex] with shading in between represent the combined inequality

[tex]x\geq-6\\x\leq5[/tex]

the solution is the closed interval---------->[tex][-6,5][/tex]

therefore

the answer is the option

x greater than or equal to [tex]-6[/tex] and x less than or equal to [tex]5[/tex]

see the attached figure to better understand the problem

The length of the ski lift is approximately 1.15 miles.

We can use the formula of sum of all angle of triangles which is equal to 180°.

∠C = 180 - 50

     = 130

By using law of sines

[tex]\frac{a}{sin A} = \frac{c}{sin C} \\\frac{0.75}{sin 30} = \frac{c}{sin 130} \\\\\\\frac{0.75 \times 0.766}{0.5}[/tex]

c= 1.149 mile

c = 1.15 mile (nearest hundred)

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The factors of the given polynomial 12x^3-9x^2-4x+3  are

(4x-3) (3x^2-1).

Given: Polynomial  12x^3-9x^2-4x+3        

We have factorized the given polynomial.

The factor means a number that can be multiplied or divided to produce a given number.

Consider the given polynomial 12x^3-9x^2-4x+3.

We will factorize using a grouping of terms,

Taking  3x^2 common from the first two terms and -1 common from the last two terms, we have,

3x^2(4x-3)-1(4x-3)

Now, again taking (4x-3) common,  we have,

(4x-3)(3x^2-1)

Thus, The factors of the given polynomial are (4x-3)(3x^2-1).

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The factored form of 12x3 - 9x2 - 4x + 3 is (3x2 - 1)(4x - 3).

The expression 12x3 - 9x2 - 4x + 3 can be factored as follows:

First, identify any common factors among the terms. In this case, the greatest common factor (GCF) is 1.

Next, group the terms:

12x3 - 9x2 - 4x + 3 = (12x3 - 9x2) + (-4x + 3)

Factor out the GCF from each group:

12x3 - 9x2 = 3x2(4x - 3)

-4x + 3 = -1(4x - 3)

Combine the factored terms:

(3x2 - 1)(4x - 3)

Therefore, the factored form of 12x3 - 9x2 - 4x + 3 is (3x2 - 1)(4x - 3).

Answer:

the answer is 100"C

Step-by-step explanation:

Answer:

C) 246 units2  ^_^

Step-by-step explanation:

Answer:

Factors of 28 = 1,2,4,7,14,28

Factors of 42= 1, 2, 3, 6, 7, 14, 21, 42

Factors of 49 =1, 7, 49

factors of 56 = 1, 2, 4, 7, 8,14, 28, 56

Factors of 14 = 1,2,7,14

⇒49 is the number

Step-by-step explanation:

Answer:

[tex]1.\rightarrow -2 \frac{1}{3}-(-10) \frac{1}{6}\\\\\rightarrow \frac{-7}{3} -\frac{-61}{6}\\\\\rightarrow \frac{-14+61}{6}\\\\\rightarrow \frac{47}{6}\\\\\rightarrow 7\frac{5}{6}[/tex]

Option C→Seven and five-sixths

2.

(-3) +(-5)

Mark -3 and -5 on the number line.Move 5 units left of -3 to reach at -8.That is required sum.

3.

Distance between −12 and −15 on the number line is given by

       |-12 -(-15}| or |-15 -(-12)|

=|-12+15| or |-15+12|

=|3| or |-3|

=3 units

Option C

|−12 − (−15)| = 3

Answer:

Its A its right

Step-by-step explanation:

not C

Total cups of lemonade:

6 cups + 5 cups = 11 cups

Total quarts and cups of lemonade:

11 cups ÷ 4 cups = 2 quarts 3 cups