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erastovalidia [21]
3 years ago
10

Helppppp with this. What do I have to do?

Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0

You need to use the grids to draw rectangles which meet the requirements to help you put the answers in on the right.


1) Short side of 7 and long side of 9.

2) Short side of 9 and long side of 10.

3) Short side of 3 and long side of 8.

4) Short side of 4 and long side of 9.

5) Short side of 3 and long side of 5.

6) Short side of 6 and long side of 8.

7) Short side of 1 and long side of 2

8) Both sides 10 (this is technically a square).

9) Short side of 6 and long side of 9.

10) Short side of 7 and long side of 8.

11) Short side of 2 and long side of 3.

12) Short side of 6 and long side of 9.


You can draw these a few different ways to still get a correct result, so above are just one way of doing it.

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Assume z = x + iy, then find a complex number z satisfying the given equation. d. 2z8 – 2z4 + 1 = 0
kodGreya [7K]

Answer: complex equations has n number of solutions, been n the equation degree. In this case:

Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i11,25°}

Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i101,25°}

Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i191,25°}

Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i281,25°}

Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i78,75°}

Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i168,75°}

Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i258,75°}

Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i348,75°}

Step-by-step explanation:

I start with a variable substitution:

Z^{4} = X

Then:

2X^{2}-2X+1=0

Solving the quadratic equation:

X_{1} =\frac{2+\sqrt{4-4*2*1} }{2*2} \\X_{2} =\frac{2-\sqrt{4-4*2*1} }{2*2}

X=\left \{ {{0,5+0,5i} \atop {0,5-0,5i}} \right.

Replacing for the original variable:

Z=\sqrt[4]{0,5+0,5i}

or Z=\sqrt[4]{0,5-0,5i}

Remembering that complex numbers can be written as:

Z=a+ib=|Z|e^{ic}

Using this:

Z=\left \{ {{{\frac{\sqrt{2}}{2} e^{i45°} } \atop {{\frac{\sqrt{2}}{2} e^{i-45°} }} \right.

Solving for the modulus and the angle:

Z=\left \{ {{\sqrt[4]{\frac{\sqrt{2}}{2} e^{i45}} = \sqrt[4]{\frac{\sqrt{2}}{2} } \sqrt[4]{e^{i45}} } \atop {\sqrt[4]{\frac{\sqrt{2}}{2} e^{i-45}} = \sqrt[4]{\frac{\sqrt{2}}{2} } \sqrt[4]{e^{i-45}} }} \right.

The possible angle respond to:

RAng_{12...n} =\frac{Ang +360*(i-1)}{n}

Been "RAng" the resultant angle, "Ang" the original angle, "n" the degree of the root and "i" a value between 1 and "n"

In this case n=4 with 2 different angles: Ang = 45º and Ang = 315º

Obtaining 8 different angles, therefore 8 different solutions.

3 0
3 years ago
Given x = wavelength and y = frequency are inversely related, solve for the constant for the given type of
Natasha_Volkova [10]

Answer:

given

x = k 1/ y

so

k = x y

= 300,000 × 40

= 12,000,000

4 0
3 years ago
Read 2 more answers
Click on the photo to see it.
Lera25 [3.4K]

B is the midpoint

\\ \sf\longmapsto AB=\dfrac{1}{2}AC

\\ \sf\longmapsto 7x-3=\dfrac{5}{2}

\\ \sf\longmapsto 5=2(7x-3)

\\ \sf\longmapsto 5=14x-6

\\ \sf\longmapsto 14x=6+5

\\ \sf\longmapsto 14x=11

\\ \sf\longmapsto x=\dfrac{11}{14}

\\ \sf\longmapsto x=7.8

6 0
3 years ago
Read 2 more answers
What is 12 3/4 - 11 7/8?
Sergeu [11.5K]
11.9 would be the correct answer I believe
3 0
3 years ago
Determine whether the point is on the graph of the equation 2x+3y=8.<br> (1,2)
geniusboy [140]

The point (1,2) is on the graph of the equation.

Explanation:

The equation is 2x+3y=8

We need to determine the point (1,2) is on the graph.

To determine the point (1,2) is on the graph, we need to substitute the point in the equation and find whether the LHS is equal to RHS.

Thus, substituting the point (1,2) in the equation 2x+3y=8, we get,

2(1)+3(2)=8

Multiplying the terms within the bracket, we have,

2+6=8

Adding the LHS, we have,

8=8

Thus, both sides of the equation are equal.

Hence, the point (1,2) is on the graph of the equation 2x+3y=8

3 0
3 years ago
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