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2 years ago

Simplify the expression. (-3 + 6i)(-3 + 5i)

Mathematics

2 answers:

Archy [21]2 years ago

5 0

Answer:

11i-6

Step-by-step explanation:

(-3+6i)(-3+5i)

combine like terms (-3)+(-3)=-6

6i+5i=11i

Alex_Xolod [135]2 years ago

4 0

Answer:

11i-6

Step-by-step explanation:

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Question :-

DochEvi [55]

$\qquad\qquad\huge\underline{{\sf Answer}}$

Let's solve ~

$\qquad \sf \dashrightarrow \: \bigg( \dfrac{1}{ \sqrt{7 + \sqrt{5} } } + \sqrt{7 + \sqrt{5} } \bigg) {}^{2}$

$\qquad \sf \dashrightarrow \: \bigg( \dfrac{1}{ \sqrt{7 + \sqrt{5} } } \bigg ) {}^{2} + \bigg( \sqrt{7 + \sqrt{5} } \bigg) {}^{2} + 2 \cdot \dfrac{1}{ \sqrt{7 + \sqrt{5} } } \cdot \sqrt{7 + \sqrt{5} }$

$\qquad \sf \dashrightarrow \: \dfrac{1}{7 + \sqrt{5} } + 7 + \sqrt{5} + 2$

$\qquad \sf \dashrightarrow \: \dfrac{49 + 7 \sqrt{5} + 7 \sqrt{5} + 5 + 14 + 2 \sqrt{5} }{7 + \sqrt{5} }$

$\qquad \sf \dashrightarrow \: \dfrac{68+ 16 \sqrt{5} }{7 + \sqrt{5} }$

5 0

1 year ago

A diagram showing a neighborhood park is plotted on the coordinate plane. Each unit on the coordinate plane represents 1 yard. F

grandymaker [24]

Answer:

Step-by-step explanation

The length of the left sloping line

= √ (5^2 + 7^2) = √74.

The right sloping line

= √(5^2 + 5^2) = √50.

So the perimeter:

= √74 + √50 + 2 + 2 * 4 + 14

= 39.67 to nearest hundreth.

Area = 1/2 * 5 * 7 + 2*5 + 1/2 * 5 * 5 + 4*14

= 96.

3 0

1 year ago

Explain how you decided on the number of zeros in the product from a b and c

nataly862011 [7]

I think it is b that is the answer

3 0

2 years ago

Timothy makes reduced copies of a photograph that has an actual length of 8 in. Each time he presses the reduce button on the co

Aleksandr-060686 [28]

Answer:

length of the photograph will be 4.2 in. after pressing the button 5 times.

Step-by-step explanation:

By pressing the button, every time size of the photograph gets reduced by 12%.

Therefore, the sequence formed by the reduced sizes of the photo will be a geometric sequence and the formula for the size of the reduced image will be,

L = $l(1-\frac{12}{100})^{n}$

Where l = Actual length of the photograph

L = length of the reduced image

n = Number of times the button has been pressed

For l = 8 in. and n = 5

L = $8(1-0.12)^{5}$

= $8(0.88)^{5}$

= 4.22 in

L ≈ 4.2 in.

Therefore, length of the photograph will be 4.2 in. after pressing the button 5 times.

3 0

2 years ago

There are 100 tiles that were purchased to raise money for a new playground. The tiles will be laid along a walkway. Each tile i

faltersainse [42]

Answer:475 inches

Step-by-step explanation:

476 is the answer because:

100 * 4.75 = 475

*Therefore, the answer is 475 inches.

Hopefully this helps:)

7 0

2 years ago