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3 years ago

If z=5-2i then |z| is equal to what ?

Mathematics

1 answer:

Daniel [21]3 years ago

5 0

z=5-2i

|z| = [ (5^2 + (-2)^2) ] ^ 0.5
= ( 25+4) ^ 0.5
= 29^0.5

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Write an inequality to represent the graph.

lakkis [162]

Answer:

$y \leq -\frac{3}{4}x+2$

y is less than or equal to negative three fourths times x plus 2

Step-by-step explanation:

step 1

Find the slope of the solid line

we have the ordered pairs

(0,2) and (4,-1)

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$m=(-1-2)/(4-0)$

$m=-\frac{3}{4}$

step 2

Find the linear equation of the solid line in slope intercept form 

$y=mx+b$

we have

$m=-\frac{3}{4}$

$b=2$ ---> the y-intercept is given

substitute

$y=-\frac{3}{4}x+2$

step 3

Find the inequality

Remember that the solution is the shaded area below the solid line

therefore

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$y \leq -\frac{3}{4}x+2$

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2 years ago

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Sergio [31]

Answer:

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Step-by-step explanation:

This problem can be treated as a compounded interest with a weekly rate of -1%. Cal's weight after 'n' weeks at a 1% loss rate per week is described by the following expression:

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3 years ago

Triangle sum (3x+1)^0+(10x-11)^0+(3x-2)^0=180

svetlana [45]

Answer:

x = 12
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Step-by-step explanation:

Perhaps you want to know the value of x or the measures of the angles?

Simplifying the given equation, you get ...

(16x -12)° = 180°

16x = 192 . . . . . . . divide by °, add 12

x = 12

(3x+1)° = (3·12+1)° = 37°

(10x-11)° = (10·12-11)° = 109°

(3x-2)° = (3·12-2)° = 34°

x is 12, and the angle measures are 37°, 109°, 34°.

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3 years ago

write the standard form of the equation of the circle with endpoints of a diameter at the points (9,2) and (-7,5)

AnnyKZ [126]

Answer:

Step-by-step explanation:

Answer:

(x-1)²+(y-3.5)² = 265/4

Step-by-step explanation:

first find the midpoint (center of the circle)

(9+-7)/2, (2+5)/2

(1, 3.5) = center

then distance formula to find diameter

√(9- -7)²+(2-5)²=√256+9 = √265

The radius is half the diameter = (√265)/2

Formula for circle is (x-h)²+(y-k)²=r², where (h, k) is the center

Now you can plug everything in.

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