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4 years ago

Complete the tables of values.

Mathematics

1 answer:

nata0808 [166]4 years ago

8 0

Answer:

<h2><u><em>ADD A PICTURE</em></u></h2>

Step-by-step explanation:

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Which of these is the graph of −2−3i ?

Sav [38]

Answer:

-2-3i in the complex plane would be 2 units to the right of the origin and

3 units below the Real number line.

Step-by-step explanation:

Think of the complex plane as being the Cartesian plane but with the X-axis replaced by the Real component of a complex number and the Y-axis replaced by the imaginary component.

3 0

3 years ago

An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equa

Stella [2.4K]

Answer:

Please inform me if I am wrong

7 0

3 years ago

2. Consider the circle x^2−4x+y^2+10y+13=0. There are two lines tangent to this circle having a slope of 2/3.

likoan [24]

Answer:

a) The coordinates are (0.431, -2.646) and (3.568,-7.354)

b) The tangent lines are

l₁ = (x-0.431)*2/3 - 2.646

l₂ = (x-3.568)2/3 - 7.354

Step-by-step explanation:

First, lets complete squares, by taking for each cordinate the square of a linear expression

0= x²−4x+y²+10y+13 = (x-2)²+ 4 + (y+5)²-25+13 = (x-2)²+(y+5)² - 8

Hence (x-2)² + (y+5)² = 8

Lets put y in function of x. We should obtain 2 functions f and g that represent the circle.

(y+5)² = 8 - (x-2)² = -x² + 4x + 4

$y = ^+_- \sqrt{-x^2+4x+4} -5$

Thus

$f(x) = \sqrt{-x^2+4x+4} - 5$

$g(x) = -\sqrt{-x^2+4x+4} - 5$

Lets find the derivate of each function and the points in which they reach the value 2/3. In those points the tangent line will have a slope of 2/3.

We may just find the values of x which the derivate of f is either 2/3 or -2/3.

$\frac{-x+2}{\sqrt{-x^2+4x+4}} = ^+_-\frac{2}{3} \Leftrightarrow \frac{x^2-4x+4}{-x^2+4x+4} = \frac{4}{9} \Leftrightarrow 9(x^2-4x+4) = 4(-x^2+4x+4) \\\Leftrightarrow 13x^2-52x+20 = 0$

The quadratic has roots

$\frac{52 ^+_-\sqrt{1664}}{26}$

one root is 3.568, which corresponds with g, and the other root is 0.431, corresponding to f.

Also g(3.568) = - 7.354 and f(0.431) = -2.646

This means that the coordinates are (0.431 , -2.646), (3.568 , -7.354) and the tangent lines are

l₁ = (x-0.431)*2/3 - 2.646

l₂ = (x-3.568)2/3 - 7.354

5 0

3 years ago

Can you give me an answer to this problem? 100m + 60m + ?m<br><br> Pythagorean thereon

laila [671]

Answer:

116.62m

Step-by-step explanation:

$c= \sqrt{a^2+b^2} = \sqrt {100^2+60^2} approx. 116.61904$

5 0

3 years ago

Ryan gets an allowance of $9 a week which he deposits into his bank account where he already has $45 he wants to buy some shoes

Stells [14]

Answer:

Step-by-step explanation:

First add the shoes and the toys: 63+54 = $117

Second subtract 45 dollars from $117 = 72

Third divide 72 by 9 = 8 weeks

Answer: 8 weeks

5 0

3 years ago