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3 years ago

Coordinates for 4-6i and -4+2i

Mathematics

1 answer:

Ket [755]3 years ago

3 0

Answer:

4-6i has coordinate (4,-6), and -4+2i has coordinate (-4,2)

Step-by-step explanation:

The real part of the number represents the x coordinate, the imaginary part is the y coordinate, so 4-6i has coordinate (4,-6), and -4+2i has coordinate (-4,2)

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What's the unit fraction of 23/138?

Mice21 [21]

1/6 If you have a graphing calculator, it would be simple to type in the fraction as a division equation then type MATH, ENTER, ENTER.

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3 years ago

Read 2 more answers

Eric wants to double protect his flower bed with a regular hexagonal shaped fence surrounded by a rectangular fence. How many fe

kati45 [8]

Answer:

78 feet

Step-by-step explanation:

COmplete Question is in attached image.

Eric will want to buy fencing that is sum of perimeter of the square border outside and hexagon inside.

Perimeter is the sum of all sides.

Perimeter of hexagon is sum of 6 sides.

Each side is 5, so

Perimeter of Hexagon = 5 + 5 + 5 + 5 +5 +5 = 30

Now,

Perimeter of Square is sum of all 4 sides measuring 12 each, so

Perimeter of Square = 12 + 12 + 12 + 12 = 48

Total amount of fencing needed = 30 + 48 = 78

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3 years ago

Math SAT scores are Normally distributed with mean µ=500 and standard deviation σ=100 . The curve is displayed above. What perce

pentagon [3]

Answer:

Step-by-step explanation:

mean µ = 500

standard deviation σ = 100

Required P ( X < µ + σ )

= P ( X < 500 + 100 )

= P ( X < 600 )

= P [Z < (X - µ) / σ ]

= P [Z < (600 - 500) / 100 ]

= P [Z < + 1 ]

= .8413

In terms of percent the probability is 84.13 % .

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3 years ago

In a 30-60-90 triangle, the hypotenuse is the shorter leg times the square root of two.

olga55 [171]

The correct answer is C "never."

The hypotenuse in a 30-60-90 triangle is the shorter leg doubled. So, it's 2x where x is the shorter leg.

In fact, the square root of two is not used to calculate any other sides in a 30-60-90 triangle. The shorter leg is x, the medium leg is x√3, and the hypotenuse is 2x.

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3 years ago

2x+8y=3 and 4x-3y=2 value of x and y.. plzz help me

lesya692 [45]

Answer:

Set a system of equations:

$\left \{ {{2x+8y=3} \atop {4x-3y=2}} \right.$

Multiply the whole upper equation by 2 and the whole bottom equation by 1 so their x-value equals:

$\left \{ {{2(2)x+8(2)y=3(2)} \atop {4(1)x-3(1)y=2(1)}} \right.\\\\=\left \{ {{4x+16y=6} \atop {4x-3y=2}} \right.$

Subtract the upper equation by the bottom equation & solve for y:

$(4x-4x)+(16y-(-3y))=6-2\\\\19y=4\\\\y=\frac{4}{19}$

Substitute in the y-value to a equation to find x:

$2x+8y=3\\\\2x+8(\frac{4}{19} )=3\\\\2x=3-\frac{32}{19} =\frac{57}{19} -\frac{32}{19} =\frac{25}{19} \\\\x=\frac{\frac{25}{19}}{2} =\frac{25}{19}*\frac{1}{2} =\frac{25}{38}$

Therefore, the answer would be:

$\left \{ {{y=\frac{4}{19} } \atop {x=\frac{25}{38} }} \right.$

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3 years ago