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3 years ago

Write the expression as a complex number in standard form. 20 + (-23 -8i) +7i

Mathematics

2 answers:

givi [52]3 years ago

8 0

20+(-23-8i)+7i =20-23-8i+7i =-3-i so B option is correct: -3-i

kari74 [83]3 years ago

3 0

$20 + (-23 -8i) +7i =-3-i$

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In the input/output rule: y = -2x + 8 What

Doss [256]

Answer:

"input" is x and "output" is y

y= -2(3) +8

y= -6 +8

y= 2

your answer would be 2

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3 years ago

The step function f(x) is graphed.

nika2105 [10]

Answer:

Step-by-step explanation:

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3 years ago

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X - Y = 11<br> 2x + Y = 19<br><br> where do the lines cross

katen-ka-za [31]

Just solve the equations:
<span>A) X - Y = 11
B) 2x + Y = 19
Multiply A) by -2
</span>
<span>A) -2X +2Y = -22 then add to B)
</span><span>B) 2x + Y = 19
3Y = -3
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<span>A) X - -1 = 11
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</span>

4 0

2 years ago

A right triangle has leg lengths of 9 units and 12 units. Write an equation that can be

LenKa [72]

<h2>The Pythagorean Theorem</h2>

The Pythagorean Theorem: $a^2+b^2=c^2$

<em>a</em> and <em>b</em> are the two legs in a right triangle
<em>c</em> is the hypotenuse (the longest side of a right triangle; opposite the 90° angle
<em>*keep in mind that this theorem applies only to right triangles</em>

<h2>Solving the Question</h2>

We're given:

Legs = 9 units and 12 units
Hypotenuse = <em>c</em>

<em />

Plug these measurements into the Pythagorean theorem:

$a^2+b^2=c^2\\9^2+12^2=c^2$

⇒ Combine like terms:

$81+144=c^2\\c^2=225$

<h2>Answer</h2>

$c^2=225$

4 0

2 years ago

A rectangle has a length of 17 less than 6 times it's width. If the area of the rectangle is 7585 square feet find the length of

anzhelika [568]

9514 1404 393

Answer:

205 ft

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...

A = LW

7585 = (6w-17)(w)

6w² -17w -7585 = 0

Perhaps most straightforward is using the quadratic formula to solve this.

For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...

$x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}$

The width is 37 feet, so the length is ...

6(37) -17 = 205 . . . feet

The length of the rectangle is 205 feet.

8 0

2 years ago