When multiplied, what is the simplified form of (6 − 2i)(4 − 3i)? Write the answer in standard form, a + bi, where a and b are real numbers. 10 − 5i 30 − 26i 2 − 6i 18 − 26i

Answer:

=  2

=  − 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

1)

We know that if [tex]x^2=9[/tex], then [tex]x=\pm \sqrt{9}[/tex], so [tex]\boxed{x=3,-3}[/tex]

2)

We know that if [tex]x^3=8[/tex], then [tex]x=\sqrt[3]{8}[/tex], so [tex]\boxed{x=2}[/tex]

3)

[tex]x^3=\frac{1}{8}[/tex] means that [tex]x=\sqrt[3]{\frac{1}{8}}=\frac{\sqrt[3]{1}}{\sqrt[3]{8}}=\frac{1}{2}[/tex].

So, [tex]\boxed{x=\frac{1}{2}}[/tex].

4)

[tex]x^3=27[/tex] means that [tex]x=\sqrt[3]{27}=\sqrt[3]{3^3}=3[/tex].

So, [tex]\boxed{x=3}[/tex].

5)

[tex]x^2=25[/tex] means that [tex]x=\pm \sqrt{25}=\pm \sqrt{5^2}=\pm 5[/tex].

So, [tex]x=5,-5[/tex].

6)

We know that the side length of the square will be [tex]\sqrt{\frac{9}{16}}=\frac{\sqrt{9}}{\sqrt{16}}=\boxed{\frac{3}{4}}[/tex].

7)

[tex]6x^2=54[/tex] means that [tex]x^2=9[/tex], which means that [tex]\boxed{x=3,-3}[/tex].

8)

[tex]2x^2+25=75[/tex] means that [tex]2x^2=50[/tex], which means that [tex]x^2=25[/tex], which means that [tex]\boxed{x=5,-5}[/tex]

Answer:

.16666667

Step-by-step explanation:

(x)3=0.5

divide both sides by 3

x    =.16666667

Answer:

D

Step-by-step explanation:

The 3 angles in a triangle sum to 180°

Sum the 3 given angles and equate to 180

2x + 3 + 7x - 5 + 3x + 14 = 180 , collect like terms

12x + 12 = 180 ( subtract 12 from both sides )

12x = 168 ( divide both sides by 12 )

x = 14

Then

∠ F = 7x - 5 = 7(14) - 5 = 98 - 5 = 93° → D

Answer:

49

Step-by-step explanation:

x

x+1

x+2

x+3

-------

4x+6

4x+6=190

    -6  -6

4x=184

/4    /4

x=46

This is the first integer, but we have to find the last integer so,

46,47,48,49

Answer:

-20

Step-by-step explanation:

All that you have to do for this question is just form the equation:

-12-8=x

And solve, which is:

-20

Answer:

-2 1/2 ÷ 6 = -0.41

-5 5/8 ÷ 5 = -1.12

-2 1/8 ÷ -1/4 = -8.5

1 5/8 ÷ -1 3/5 = -1.01

-4 1/3 ÷ -2 3/5 = 1.66

,  Hope this helps :)

Have a great day!!

Answer:

120/25 = 4.8

Step-by-step explanation:

To set up the equation you would do this-

[tex]\frac{4.8}{1} =\frac{x}{25} \\[/tex]

Then cross multiply (multiply 4.8 by 25 and x by 1)

[tex]4.8(25) = x(1)\\120 = x[/tex]

Answer:

(4x+5)°+(6x-10)°=145°

4x+6x+5-10=145°

10x-5=145°

10x=145+5

10x=150°

x=15

(6x-10)°=(6×15-10)°

=80°

The value of ∠XMN = 80.

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint.

The value of total ∠LMN = 145.

∠LMN = ∠LMX +∠XMN

145 = (4x + 5) + (6x - 10)

145 = 4x + 5 + 6x - 10

145 = 10x -5

10x = 150

x = 15

Substitute the value of x in ∠XMN =  (6x - 10)

∠XMN =  6×15 - 10

            = 90 - 10

∠XMN = 80

Therefore, the value of the angle  ∠XMN = 80.

To know more about the angle theorems, here

https://brainly.com/question/27962469

#SPJ2

Answer:

16 Horses!

Step-by-step explanation:

Since

9 : 2 = 72 : X

Then we know

2/9 = X/72

Multiplying both sides by 72 cancels on the right

72 × (2/9) = (X/72) × 72

72 × (2/9) = X

Then solving for X

X = 72 × (2/9)

X = 16

Therefore

9 : 2 = 72 : 16

Answer:

It´s going to be B

Step-by-step explanation:

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

[tex] \frac{2 \sqrt{3y} \times |x| }{3y} [/tex]

Step-by-step explanation:

[tex] \sqrt{ \frac{ {4x}^{2} }{3y} } [/tex]

[tex] \frac{2 \times |x| }{ \sqrt{3y} } \\ \frac{2 \times |x|}{ \sqrt{3y} } \times \frac{ \sqrt{3y} }{ \sqrt{3y} } \\ \frac{2 \times |x| \times \sqrt{3y} }{ \sqrt{3y} \sqrt{3y} } [/tex]

[tex] \boxed{Answer:{\boxed{\green{= \frac{2 \sqrt{3y} \times |x| }{3y}}}}} [/tex]

Answer:

[tex]t = \frac{-D+F}{Dr}[/tex]

Step-by-step explanation:

Step 1: Flip the equation.

Step 2: Subtract D from both sides.

Step 3: Divide both sides by Dr.

Answer:

B

Step-by-step explanation:

It's easy.

Answer:

Free

is all I see

Step-by-step explanation:

Answer:

C). -85 is correct answer

Step-by-step explanation:

This is a multiplication problem, so we can just multiply from left to right:

-8.5 x -5 = 42.5

42.5 x -2 = -85 (negative 85)

(Hope this helps can I pls have brainlist (crown)☺️)

The first two are given to you, [tex]t_1=2[/tex] and [tex]t_2=1[/tex]. Use the recursive formula to get the 3rd term; then use the 2nd and 3rd terms to get the 4th; and so on.

Since the n-th Lucas number is the sum of the previous two Lucas numbers, you have

[tex]t_3 = t_2 + t_1 = 1 + 2 = 3[/tex]

[tex]t_4 = t_3 + t_2 = 1 + 3 = 4[/tex]

[tex]t_5 = t_4 + t_3 = 4 + 3 = 7[/tex]

[tex]t_6 = t_5 + t_4 = 7 + 4 = 11[/tex]

[tex]t_7 = t_6 + t_5 = 11 + 7 = 18[/tex]

[tex]t_8 = t_7 + t_6 = 18 + 11 = 29[/tex]

[tex]t_9 = t_8 + t_7 = 29 + 18 = 47[/tex]

Using the midpoint concept, it is found that:

The midpoint of a line segment is given by the mean of the coordinates of it's endpoints.

For the first segment, which endpoints [tex](2, \sqrt{3})[/tex] and [tex](-6, 5\sqrt{3})[/tex]:

[tex]x_M = \frac{2 - 6}{2} = -2[/tex]

[tex]y_M = \frac{\sqrt{3} + 5\sqrt{3}}{2} = 3\sqrt{2}[/tex]

The midpoint is [tex](-2, 3\sqrt{2})[/tex]

For the second segment, which endpoints [tex]\left(-\frac{5}{3}, \frac{2}{5}\right)[/tex] and [tex]\left(\frac{1}{3}, \frac{3}{2}\right)[/tex]:

[tex]x_M = \frac{-\frac{5}{3} + \frac{1}{3}}{2} = -\frac{4}{6} = -\frac{2}{3}[/tex]

[tex]y_M = \frac{\frac{2}{5} + \frac{3}{2}}{2} = \frac{\frac{4 + 15}{10}}{2} = \frac{19}{20}[/tex]

The midpoint is [tex]\left(-\frac{2}{3}, \frac{19}{20}\right)[/tex]

A similar problem is given at https://brainly.com/question/24352869

estimated sum-114, actual sum-112.97

Step-by-step explanation:

76.6-77

25.5-26

10.87-11

77+26+11=114

76.6+25.5+10.87=112.97

Answer:

4.63636363636

Step-by-step explanation:

Answer:

1 -2 5 /11 - -7 1 / 11

2 5/11

= 2.27

7 1 / 11

6.45

= -4 . 18

Answer:

The answer is: From any point on the graph, he counts down 2 then right 3 to end up on the line again.

Step-by-step explanation:

To count the slope of the graph from any point on the graph; He counts down 2 then right 3 to end up on the line again.

The slope of a linear graph refers to the change behaviour of its dependent variable (usually y-axis) with respect to its Independent variable (usually x-axis).

In essence;

slope, m = (y2-y1)/(x2-x1)

Consequently, From any point on the graph, he counts down 2 then right 3 to end up on the line again.

Read more:

https://brainly.com/question/23935638

Answer:

6.5 rounded from 6.53...

to see if this is correct we can:

13.5+9.5+6.5*3 = 42.5

but since we rounded it we can say its 6.5

Answer:

6.55 meters each day

Step-by-step explanation:

You know that in the end the fence must be 42.6 meters long.

On Monday & Tuesday, he installed 22.95 meters of fence. (We know this because 13.45 + 9.5 = 22.95).

So, how much is left? You find that by subtracting 22.95 from 42.6.

42.6-22.95 = 19.65 meters

There are 3 days left of fencing, and these days he will install equal lengths, so you can divide 19.65 meters by 3 days.

19.65 / 3 = 6.55 meters of fence per day

Answer:

9,000

5,025

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Perimeter = 2 x length + 2 x width  = 2L  + 2w

 Width is 4 cm less than the length, so w = L-4

  36 = 2L + 2(L-4)

 36 = 2L + 2L - 8

 36 = 4L - 8

44 = 4L

 L = 11

w = 7

2(11) + 2(7) = 22 + 14 = 36

Length is 11, width is 7

Answer:  y-9=2(x-5)

Step-by-step explanation: The point (5,9) satisfies the equation:

y-9=2(x-5)  for (5,9)?

9-9=2(5-5) ?

0 = 0  YES

Slope of 2?  Rewrite:  

y-9=2(x-5)

y = 2(x-5)+9

The slope is 2  YES

Answer:

$960

Step-by-step explanation:

2,400 divided by 2.5 = 960

y divided by x = 950 (x) 2,400 (y)

Answer: -6x + 18

Step-by-step explanation: multiply each expression in the brackets by -3

so, -3 x 2x = -6x and -3 x -6 will give you +18 or just 18

for a final answer of -6x + 18

Answer:

2 for each

Step-by-step explanation:

i think

Answer: 2(x + 10)

Step-by-step explanation: you have to add all of the perimeter sides together so you will have to times the length by 2 so your equation would be (8 × 2 = 16). Then the width by 2 ( 2 × (x+2) = 2x + 4) now you add them together

16 + 2x + 4

2x + 20

Now you have to take out the highest common factor which is 2

So it will be 2(x + 10)