What is the product (1 – 6i) (-5 – 8i) ?
PLEASE HELP QUICK!!!!!f

Answers

Answer 1

Answer:

[tex]-53+22i[/tex]

Step-by-step explanation:

You can simply use the FOIL method, but keep in mind that [tex]i^2=-1[/tex]:

[tex](1-6i)(-5-8i)\\(1)(-5)+(1)(-8i)+(-6i)(-5)+(-6i)(-8i)\\-5-8i+30i+48i^2\\-5+22i+48(-1)\\-5+22i-48\\-53+22i[/tex]


Related Questions

Using the digits 9,8,7,0,5,4,6 without repetition, the greatest 7 digit number is

Answers

Answer:

9876540

Step-by-step explanation:

it’s the biggest number because it has the numbers in order from least to greatest! Please tell me if you need help with another question similar to this I will help you.

Answer:

9876540

Step-by-step explanation:

saying the digit number you count the big number

Which is the slope of the line that passes through the points (-3, 1) and (4, -2)?

Answers

3/7
change in y/change in x
-2-1/4-(-3)

Desmis Unit 7 Practice Day 1

Answers

The number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.

What is triangle angle sum theorem?

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

The measure of angles are given as,

A 90 degree angleA 100 degree angleA 30 degree angle

To create a triangle with these angles, the sum should be equal to 180 degree of three angles.

90+100+30 > 180

90+90+30 > 180

90+90+100 > 180

100+100+30 > 180

30+100+30 < 180

30+90+30 < 180

There is no combination of angles, which is equal to the 180 degree.

Hence, the number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.

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Mrs. Gottschalk had 60 feet of ribbon. If each of the 20 students in her class gets an equal length of ribbon, how long will each piece be in inches?

Answers

60x12=720 inches/20=36 inches

The shape is composed of squares and quarter circles. What is the perimeter?

Answers

Should be 28 but I’m not sure but that should be right

Which values represent solutions to cos
s(1 - x) = x sinx, where x E [0, 27)?

Answers

Answer:

[tex]x=\frac{\pi}{2}, x =\frac{3\pi}{2}[/tex]

Step-by-step explanation:

!PLEASE HELP!
Find the length of the missing side. Round your answer to the nearest tenth.

A) 2.8
B) 6.5
C) 4.7
D) 8.2

Answers

Answer: B) 6.5

Step-by-step explanation:

   We will use the Pythagorean theorem to solve. The "c" variable is the hypotenuse and the other variables are the legs.

a² + b² = c²

3.6² + b² = 7.4²

12.96 + b² = 54.76

b² = 41.8

b = [tex]\sqrt{41.8}[/tex]

b ≈ 6.5

     The length of the missing side is about B) 6.5.

Answer:

B)6.5

Step-by-step explanation:

H²=P²+B²

7.4²=3.6²+B²

B=√41.8

B=6.465≈ 6.5

13. 12, 16, *, 20 Find the missing​

Answers

The answer is 18. It is counting up by twos! 12+2= 16.. 16+2= 18.. 18+2= 20

simplify
[tex]\sqrt{29-12\sqrt{5} }[/tex]

Answers

Answer:

[tex] \sqrt{29-12\sqrt{5} }[/tex]

[tex]\sqrt{9 - 12 \sqrt{5} + 4 \times 5}[/tex]

[tex]\sqrt{ {3}^{2} - 12 \sqrt{5} + {(2 \sqrt{5}) }^{2} }[/tex]

[tex]\sqrt{{(3 - 2 \sqrt{5} )}^{2}}[/tex]

[tex]{(3 - 2 \sqrt{5} )}[/tex]

I need help with this ASAP
At Josie’s job, she is paid $12 for every hour she works. Write a
recursive and explicit formula to describe this sequence.
Im also giving Brainlist

Answers

Answer:

It would be y=12x

Step-by-step explanation:

I think

Answer:

if x=24°and y = 54°

sin x + sin y

simplify the expression
4(-8x+5)-(-33x-26)

Answers

Answer:

x+46

Step-by-step explanation:

x+46 because you do math and dont worry ive done this problem pls can you help me with my problem

Simplification of polynomials

What are polynomials?

Polynomials are mathematical expressions made up of many terms.

How to simplify a polynomial?

To simplify the maximum of a polynomial, you must group all like terms and rearrange them from highest to lowest power.

we solve ⇒ 4(-8x+5)-(-33x-26)

To distribute

-32x+20-(-33x-26)

add up the numbers

-33+20+33x+26

Combine like terms.

-32x+46+33x

Multiply by 1.

1x + 46

Solutionx + 46 ======> Answer

In a right triangle, a and b are the lengths of the legs and c is the length
of the hypotenuse. If a = 2 feet and b = 1 foot, what is c? If necessary,
round to the nearest tenth.
c =
feet

Answers

c=2.2feet

The solution in the attached file

Find the length of the third side. If necessary, write in simplest radical form.
2741
8

Answers

Answer:

10

Step-by-step explanation:

Let the missing side be 'x'.

Using Pythagorean Theorem, we can find the missing side.

x² + 8² = (2√41)²x² + 64 = 4(41)x² + 64 = 164x² = 100x = 10

A sequence starts with: 25 20 15 10... what is the term-to-term rule of the sequence?

Answers

Answer:
The Golden Ratio
Step-by-step explanation:
We can see for the that it is a constant ratio of declining -5 each new number that means the ratio of the previous is the same as the ratio of the next. Hopefully this helps.

PLEASE HELP ! <3 !!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

7 things an investor should consider when picking stocks:

Trends in earnings growth.

Company strength relative to its peers.

Debt-to-equity ratio in line with industry norms.

Price-earnings ratio as an indicator of valuation.

How the company treats dividends.Effectiveness of executive leadership.

Step-by-step explanation:

In a class of 30 students, 13 of them are boys. What percentage of the class are girls? Give your answer to 1 decimal place.​

Answers

Answer: 56.7%

Step-by-step explanation:

1) First we need to find the number of girls out of the class of 30:

30-13 = 17 -> 17 girls in the class

2) Then we can set up a part-whole equation like this (I don't know if this is how you learned it, I recommend searching up "part whole percent" if you're confused):

[tex]\frac{17}{30} \frac{x}{100}[/tex]      it follows this template: [tex]\frac{part}{whole} \frac{percent}{100}[/tex]

Since we're trying to find the percent and the problem gives us the rest of the info (by the way, that 100 will always stay there, it will never change)

3) Then we cross multiply

17 x 100 = 1700

1700/30 = 56.6666666

4) And since the answer has to be in the 1 decimal place, it would be 56.7

So that means approximately 56.7% of the class are girls

A box of cereal has a volume of 144 inches squared. the height of the cereal box is 12 inches, and the depth is 2 inches. what is the width of the cereal box?

Answers

The value of the given cone with a volume of 144 has a width is 6 inches.

We have given that,

A box of cereal has a volume of 144 inches squared.

The height of the cereal box is 12 inches, and the depth is 2 inches.

The volume of cone = 144 inches squared.

height=12 inches

depth=2inches

What is the formula of the cube?

Area of a cube = V = L * W * H

L-length

W-width

H-height

We have to determine the width cereal box.

Plug the given values in the formula

V = L * W * H

144=2×12×width

Width=144/24

Width=6inches

Therefore the value of the width is 6 inches.

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If XYZ measures 55°, what is the measure of WZ?

a. 125°
B. 305
C. 55
D. 110°

Answers

i believe it’s D 110°

I’ll give brainliest!

Answers

Step-by-step explanation:

Line L passes through point (0,2) and (4,0)

If you want to find the gradient of Line L, you can use this formula :

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex]m = \frac{0 - 2}{4 - 0} [/tex]

[tex]m = \frac{ - 2}{4} [/tex]

[tex]m = - \frac{1}{2} [/tex]

A parabola can be drawn given a focus of (6, 0) and a directrix of y=8 Write the equation of the parabola in any form.

Answers

Answer:

Answer:

Equation of the parabola:  or

Vertex form:

Intercept form:

Step-by-step explanation:

Can someone please help me?

Answers

The center of the circle will be equal to (-3,4) equation of the circle   x²+y²+6x-8y+16=4

What is circle?

The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the out trace.

The general form of the equation of the circle is:-

(x-x₁)²+(y-y₁)²=r²

here x1 and y1 are the center of the circle

Now we will convert our equation in the general form:-

x²+y²+6x-8y+16=4

x²+6xy²-8y+16-4=0

x²+3x+3x+9-9+y²-4y-4y+16-16-4=0

(x+3)²+(y-4)²-9-16+16-4=0  (x+3)²+(y-4)²=13

By comparing with the general form we can see that the coordinate of the center of the circle will be {-3,4)

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Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Tyler concludes that 5x² will always have a larger output for the same value of x.

Look at the graph below and the table given

Take a random value: x = 0

When 5x², y = 0When 2^x, y = 1

Here, 1 > 0, making 2^x > 5x²

Hence, 2^x is greater than 5x² at this point. making Tyler's point not applicable.

Disagree with Tyler's point.

No it won't be

Take x =9

2^x=2^9=512

But

5(9)²=5(81)=405

Clearly 2^x surpasses 5x²

So Tyler is wrong

help me whats 93458 divided by 19435

scan qr code for assignment question!

Answers

Answer:

[tex]\frac{93458}{19435}[/tex] ≈ 4.81

Step-by-step explanation:

[tex]\frac{93458}{19435}[/tex] can not be simplified

Dray collects marbles of different colour. 7/8 of his marbles are red. 2/9 of the remaining marbles are blue. How many marbles does he have in total, if the number of green marbles that he has is 14?

Answers

I guess we have to assume there are only three colours otherwise the answer is impossible to find.
1/8 are not red.
7/9 of non-red are green
So 1/8 x 7/9 of total are green = 14
7/72 total = 14
total = 14 x 72/7 = 144 marbles

help with these 10th grade geometry angle problems? will reward brainliest!

Answers

Answer:

Step-by-step explanation:

The diagram shows a regular pentagon.
a)
Work out the sum of the interior angles.
b)
Work out the size of one interior angle.

Answers

Answer:

a) 540° b) 108°

Step-by-step explanation:

Formula: (n-2)×180°

a) (5-2)×180°

3×180°=540°

b) 540°÷5=108°

n means nr of sides

NEED HELP PLEASE ANSWER ASAP! (41)

Answers

Answer:

   41. (2) x² - 3x - 4 =0

Step-by-step explanation:

Question 41

Standard form of polynomial

x² - (sum of roots) + product of roots = 0(2) x² - 3x - 4 =0

Answer:

(2)  [tex]x^2-3x-4=0[/tex]

Step-by-step explanation:

Standard form of a quadratic equation:  [tex]ax^2+bx+c=0[/tex]

When factoring a quadratic (finding the roots) we find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex], then rewrite [tex]b[/tex] as the sum of these two numbers.

So if the roots sum to 3 and multiply to -4, then the two numbers would be 4 and -1.

[tex]\implies b=1+-4=-3[/tex]

[tex]\implies ac=1 \cdot -4[/tex]

As there the leading coefficient is 1, [tex]c=-4[/tex].  

Therefore, the equation would be:  [tex]x^2-3x-4=0[/tex]

Proof

Factor  [tex]x^2-3x-4=0[/tex]

Find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].

The two numbers that multiply to -4 and sum to -3 are:  -4 and 1.

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies x^2-4x+x-4=0[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies x(x-4)+1(x-4)=0[/tex]

Factor out the common term  [tex](x-4)[/tex]:

[tex]\implies (x+1)(x-4)=0[/tex]

Therefore, the roots are:  

[tex](x+1)=0 \implies x=-1[/tex]

[tex](x-4)=0 \implies x=4[/tex]

So the sum of the roots is:  -1 + 4 = 3

And the product of the roots is:  -1 × 4 = -4

Thereby proving that  [tex]x^2-3x-4=0[/tex]  has roots whose sum is 3 and whose product is -4.

Does anybody know this? Find the circumference of a circle if the diameter is 8 meters do not round your answer use 3.14 for pi

Answers

25.12

C equals pi D

Circumference equals 3.14×8

Answer:

The circumference of the circle is 25.12 meters

Step-by-step explanation:

By definition, the circumference of a circle is the perimeter or the length around the circle.

To find the circumference of a circle, all we need to do is multiply the radius by pi and 2. Giving us the equation :

C = 2 * pi * r

We are also given that the diameter of the circle is 8 meters. With this, we can cut it in half to get the radius. 8 / 2 = 4

Now, we plug in our values:

2 * 3.14 * 4

When we evaluate this, we get the answer to be : 25.12

The circumference of the circle is 25.12 meters

Extra references for the definitions of radius and circumference.

The radius is the length from the center of the circle, to the outside (perimeter aka circumference point) of it. The diameter is the length across one end of the circle, to the other end, crossing through the center point.

can someone help me pls​

Answers

Answer:

90

Step-by-step explanation:

Formula : 180 ( n - 2 ) / n         n being the amount of sides

180 ( 4 - 2 ) / 4 = 90

A prism with a length of 4 inches, height of 4 inches, and width of 3 inches. How many more 1 in. cubes does the container need to be completely filled?

Answers

There are 10 number of 1 cubic inches box required to fill the container completely.

What is a cuboid?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

We have:

A prism with a length of 4 inches, height of 4 inches, and width of 3 inches.

The volume of the prism box = 4×4×3 = 48 cubic inches

Here some data are missing.

We are assuming there are 38 1 cubic inches box already in the big box.

So,

= 48 - 38

= 10

Thus, there are 10 number of 1 cubic inches box required to fill the container completely.

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