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Alex_Xolod [135]
3 years ago
11

What is the slope of the line that passes through the points El 1, 4) and F(2, 6)?

Mathematics
1 answer:
Alex787 [66]3 years ago
3 0

Answer:

2/3

Step-by-step explanation:

(6 -4) / (2 - (-1)) =(2) / (2+1) = 2/3

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Determine whether or not the function r(x) =x^2-2 is one -to-one
Evgesh-ka [11]

Answer:

The function is not one-to-one

Step-by-step explanation:

This is a quadratic function.

f(x)=x^2-2

A function is one-to-one

\text{if } f(x_1)=f(x_2) \Leftrightarrow x_1=x_2

The function given is not one-to-one because there are values of the input x, which leads to the same output.

For example.

y=f(2)=2^2-2=\boxed{2}

y=f(-2)=(-2)^2-2=\boxed{2}

7 0
3 years ago
ABCD is a parraelogram
grandymaker [24]

Answer:

i don't know where is the picture of the problem or are you missing parts of the problem?

Step-by-step explanation:

4 0
3 years ago
Given the complex number z_1=3\big(\cos \frac{14\pi}{15} +i\sin \frac{14\pi}{15}\big)z 1 ​ =3(cos 15 14π ​ +isin 15 14π ​ ) and
mars1129 [50]

The product of <em>z₁ =</em> 3 · (cos 14π/15 + i · sin 14π/15) and <em>z₂ =</em> 3 √3 · (cos 11π/15 + i · sin 11π/15) in <em>rectangular</em> form with fully simplified expressions is <em>z₁ · z₂ =</em> 7.794 - i · 13.5.

<h3>How to determine the product of two complex numbers</h3>

Let be two numbers of the form <em>z = a + i · b</em>, where <em>i =</em> √-1, the product of two of these numbers in <em>rectangular</em> form is described by the following formula:

<em>z₁ · z₂ = (a + i · b) · (c + i · d) = (a · c - b · d) + i · (a · d + b · c)</em>   (1)

If we know that a = 3 · cos 14π/15, b = 3 · sin 14π/15, c = 3√3 · cos 11π/15, d = 3√3 · sin 11π/15, then the result in rectangular form is:

<em>z₁ · z₂ =</em> 7.794 - i · 13.5

The product of <em>z₁ =</em> 3 · (cos 14π/15 + i · sin 14π/15) and <em>z₂ =</em> 3 √3 · (cos 11π/15 + i · sin 11π/15) in <em>rectangular</em> form with fully simplified expressions is <em>z₁ · z₂ =</em> 7.794 - i · 13.5. \blacksquare

<h3>Remark</h3>

The statement presents typing mistakes and is poorly formatted, the correct form is introduced below:

<em>Given the complex number z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15), express the result of z₁ · z₂ in rectangular form with fully simplified fractions and radicals.</em>

<em />

To learn more on complex numbers, we kindly invite to check this verified question: brainly.com/question/10251853

8 0
2 years ago
10. If x = -2, y=-6 and z= 4, find the value of 4xy<br>Z​
Grace [21]

Answer:

192

Step-by-step explanation:

Given

4xyz ← substitute given values into expression

= 4 × - 2 × - 6 × 4 = - 8 × - 24 = 192

5 0
3 years ago
a certain shade of blue is made by mixing 1.5 quarts of blue paint with 5 quarts of white paint. If you need a total of 16.25 ga
Law Incorporation [45]

we know the blue and white paints are on a 1.5 : 5 ratio, thus, if we have a total of 16.25 gallons of paint to be split along that ratio, we can simply divide 16.25 by (1.5+5) and distribute accordingly.

\bf \cfrac{blue}{white}\qquad \stackrel{ratio}{1.5:5}\qquad \cfrac{1.5}{5}~\hspace{5em}\cfrac{1.5\cdot \frac{16.25}{1.5+5}}{5\cdot \frac{16.25}{1.5+5}}\implies \cfrac{1.5\cdot \frac{16.25}{6.5}}{5\cdot \frac{16.25}{6.5}} \\\\\\ \cfrac{1.5\cdot 2.5}{5\cdot 2.5}\implies \cfrac{3.75}{12.5}\qquad \qquad \boxed{\stackrel{blue}{3.75}~:~\stackrel{white}{12.5}}

5 0
3 years ago
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