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DiKsa [7]
3 years ago
15

Explain why there must be at least two lines on any given plane

Mathematics
1 answer:
Svetach [21]3 years ago
7 0
There has to be at least two lines on any given plane in order to plot an order pair.
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The ordered pairs in the table below represent a linear function.
GenaCL600 [577]

Answer:

\displaystyle m=2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (6, 2)

Point (9, 8)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                            \displaystyle m=\frac{8-2}{9-6}
  2. [Fraction] Subtract:                                                                                         \displaystyle m=\frac{6}{3}
  3. [Fraction] Divide:                                                                                            \displaystyle m=2
5 0
3 years ago
What is 1/20 multiplied by 23 as a mixed number
N76 [4]

Answer:

1 3/20

Step-by-step explanation:


6 0
3 years ago
A 2007 survey of 980 American drivers concluded that 38% of the driving population would be willing to pay higher gas prices to
Oksana_A [137]

Answer:

The correct answer to the question is

e. If is likely that between 35% and 41% percent of the driving population would be willing to pay higher gas prices to protect the environment.

Step-by-step explanation:

The margin of error expresses the number of percentage points of error is contained within  survey result. A large error margin therefore reduces the level of dependence on a given statistic. The margin of error describes the expected variation between the statistic sample and the real population value.

In the question, the option

e. If is likely that between 35% and 41% percent of the driving population would be willing to pay higher gas prices to protect the environment , clearly depicts the definition of margin of error as it shows the expected variance from te real population

8 0
3 years ago
What is the perimeter of a rectangle with a length of 6 4/5 inches and a width of 2 2/3 inches?
ANTONII [103]
6 4/5 + 6 4/5 + 2 2/3 + 2 2/3 = 18 14/15
3 0
3 years ago
Prove that root 7 is irrational by the method of contradiction
Alchen [17]

Let assume that \sqrt7 is a rational number. Therefore it can be expressed as a fraction \dfrac{a}{b} wherea,b\in\mathbb{Z} and \text{gcd}(a,b)=1.

\sqrt7=\dfrac{a}{b}\\\\7=\dfrac{a^2}{b^2}\\\\a^2=7b^2

This means that a^2 is divisible by 7, and therefore also a is divisible by 7.

So, a=7k where k\in\mathbb{Z}

(7k)^2=7b^2\\\\49k^2=7b^2\\\\7k^2=b^2

Analogically to a^2=7b^2 ------- b^2 is divisible by 7 and therefore so is b.

But if both numbers a and b are divisible by 7, then \text{gcd}(a,b)=7 which contradicts our earlier assumption that \text{gcd}(a,b)=1.

Therefore \sqrt7 is an irrational number.

8 0
3 years ago
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