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4 years ago

In a axiomatic system which category do pionts and lines and plane belong to?

Mathematics

2 answers:

hoa [83]4 years ago

8 0

Answer:

Undefined terms basicly was he said

Step-by-step explanation:

Grace [21]4 years ago

6 0

In an axiomatic system, points, lines, and planes belong to the category of undefined terms

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The smallest positive solution of tan bx = 2 is x = 0.3. Determine the general solution of tan bx = 2.

Contact [7]

The general solution of tan(b·x) = 2, given that the smallest positive solution is x = 0.3, is presented as follows;

$\mathbf{ x =0.3 + \dfrac{n \cdot \pi}{b}}$

The given smallest positive solution of tan (b·x) = 2 is x = 0.3

The general solution of tan (b·x + c) = m, is given as follows;

$\mathbf{x = \dfrac{\alpha - c}{b} + n \cdot \dfrac{\pi}{b}}$

α = arctan(m) = x₀

The minimum positive value of the general solution is therefore presented as follows;

$x_{min \ positive} = \dfrac{\alpha - c}{b} + 0 \times \dfrac{\pi}{b} = \dfrac{\alpha - c}{b}$

$\mathbf{x_{min \ positive} = \dfrac{\alpha - c}{b}}$

In the given function, tan (b·x), we therefore, have;

c = 0, m = 2, $\dfrac{\alpha - c}{b} = 0.3$

The general solution of tan(b·x) = 2, is therefore;

$\mathbf{x =0.3 + \dfrac{n \cdot \pi}{b}}$

Learn more about the general solution of a sine function here:

https://brainly.in/question/1549935

5 0

3 years ago

Read 2 more answers

A school bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s^2. How much time does it take to travel

leva [86]

The school bus will take 5.34 seconds to travel 95.1 m if the bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

<h3>What is a quadratic equation?</h3>

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

$\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}$

We have:

A school bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

From the second equation of motion:

$\rm s = u + \dfrac{1}{2}at^2$

We have given:

s = 95.1 m

u = 26.8 m/s

a = 4.73 m/s²

$\rm 95.1 = 26.8 + \dfrac{1}{2}(4.73)t^2$

The above equation is a quadratic equation:

After simplification:

$\rm \dfrac{4.73}{2}t^2=68.3$

$\rm t^2=28.879$

t = 5.373 seconds ≈ 5.34 seconds

Thus, the school bus will take 5.34 seconds to travel 95.1 m if the bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

Learn more about quadratic equations here:

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4 0

2 years ago

2-3/4z=1/8z+9 please show your steps!

SashulF [63]

1. 2 - 3z/4 = 1/8z + 9 (simplify 3/4z to 3z/4)

2. 2 - 3z/4 = z/8 + 9 (simplify 1/8z to z/8)

3. 16 - 6z = z + 72 (multiply both sides by 8 (the LCM of 4,8)

4. -6z = z + 72 - 16 (subtract 16 from both sides)

5. -6z = z + 56 (simplify z + 72 - 16 to z + 56)

6. -6z - z = 56 (subtract z from both sides)

7. -7z = 56 (simplify -6z - z to -7z)

8. z = 56/-7 (divide both sides by -7)

9. z = -8. (simplify 56/7 to 8)

So in conclusion your answer to the equation would be -8.

4 0

3 years ago

The proof for the product property of logarithms requires simplifying the expression logb(bx y) to x y. Which property is used t

masya89 [10]

You can use the properties of logarithm to derive the simplified form of the given expression.

The simplification of the given expression requires the given below properties of logarithm

$log_a(b^c) = c \times log_a(b)\\\\$
$log_b(b) = 1$

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

$a^b = c$

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

$b = log_a(c)$

Some properties of logarithm are:

$log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1$

<h3>Using the above properties, to get to the simplified form of the given expression</h3>

The given expression is

$log_b(b^{x+y})$

Using the property $log_a(b^c) = c \times log_a(b)\\\\$ , we get

$log_b(b^{x+y}) = (x+y)\times log_b(b)$

Using the property $log_b(b) = 1$ , we get

$log_b(b^{x+y}) = (x+y)\times log_b(b) = (x+y) \times 1 = x + y$

Thus,

The simplification of the given expression requires the given below properties of logarithm

$log_a(b^c) = c \times log_a(b)\\\\$
$log_b(b) = 1$

Learn more about logarithms here:

brainly.com/question/20835449

3 0

2 years ago

Read 2 more answers

Which number is a multiple of 6? <br> A 65 <br> B 70 <br> C 79 <br> D 96<br> How do I find out?

Elena-2011 [213]

The answer is D ) 96. It is the 16th multiple of 6.
If a number is divisible by 2 and 3, it is divisible by 6
(Or) you can directly divide the number by 6 and if you don't get any remainder then you can confirm that the particular number is a multiple of 6.
96 is an even number and hence obviously it is divisible by 296/3=32 and hence it is also divisible by 3
<span>Hence 96 is a multiple of 6.</span>

3 0

3 years ago

Read 2 more answers