(2 + 6i)(8 – 9i)

Divide and simp

Answer:

E:0.9744

Step-by-step explanation:

Answer: E) 0.9744

Explanation:

This is something you'll need a calculator for. As far as I know, there isn't a clean formula that will allow you to compute this by hand, and get something like sqrt(3)/2. There is a way to find the decimal value by hand, but it will require knowledge of Taylor polynomials and it will take a very long while to compute the value. So again, it's better to use a calculator. When using a calculator, make sure it's in degree mode. You can check by computing cos(60) and you should get 0.5

Answer:

should be -1/14

Step-by-step explanation:

Answer:

x - 12

Step-by-step explanation:

"twelve" - number

"less than" - switches the entire expression

"a variable" - a unknown number shown as a letter. can be x.

Now we have cut the entire word expression into smaller peices, we can combine it into a actual expression.

12 - x will turn into:

x - 12

Hope this helped.

Answer:

x-12

Step-by-step explanation:

Let the variable be x

12 less than x

x-12

Step-by-step explanation:

3x+5+x-25=180°

4x=180°+20

x=50

Because m and n are parallel, we can use the supplementary angles theorem. This means that the two angles add up to equal 180°.

Knowing this, we can add the two angles together and they should equal 180:

(3x + 5) + (x - 25) = 180

4x - 20 = 160

4x = 160

x = 40

If needed, to find the angle measures, we can just plug in our x value to find the measures of the angles.

Answer:

(0, 3)

Step-by-step explanation:

(-4+4)/2 , (7-1)/2

0/2 , 6/2

0, 3

Answer:

(0,3)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2

( -4+4)/2 = 0/2 =0

To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2

( 7+-1)/2 = 6/2 =3

(0,3)

Answer:

1

Step-by-step explanation:

16-9=5t+2t

7=7t

1=t

Answer:

t = 1

Step-by-step explanation:

16 - 2t = 5t + 9

=> 16 - 2t - 9 = 5t

=> 16 - 9 = 5t + 2t

=> 7 = 7t

=> 7/7 = t

=> 1/1 = t

=> 1 = t

Answer:

B) The quadrilaterals are not similar

Step-by-step explanation:

The sides do not correspond and are not proportionate

Answer:

A. Mean = 9.7 (take all the numbers and divide by 10)

Mode = 12

Range = 5

B. Unsure. Would suggest either Mean - average and can tell when bus is running late or early or Mode - highest and lowest time combined

Number of links = 100

Shape of each link = Circle

Radius = 2.5

Area = πr²

= 3.14×2.5×2.5

= 19.625

Now for 100 links

19.625×100

1962.5Cm²

Cost = 1962.5 × 0.06

= $117.75

Must click thanks and mark brainliest

If each link is made of thin silver wire and is in the shape of a circle of radius 2.5 cm, the value of the silver chain is $94.20.

To find the value of the silver chain, we need to calculate the total length of the silver wire used in making the chain and then multiply it by the cost per centimeter.

Each link in the chain is a circle with a radius of 2.5 cm. The circumference of a circle can be calculated using the formula 2πr, where r is the radius.

In this case, the circumference of each link is:

Circumference = 2 * 3.14 * 2.5 cm = 15.7 cm

Since there are 100 links in the chain, we multiply the circumference of each link by 100 to get the total length of the silver wire used:

Total length = 15.7 cm/link * 100 links = 1570 cm

Now, we can calculate the value of the chain by multiplying the total length of the silver wire by the cost per centimeter:

Value of the chain = 1570 cm * $0.06/cm = $94.20

To learn more about cost click on,

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Answer:

The Answer would be 166

Step-by-step explanation:

From 115 to 132 is + 17

From 132 to 149 is + 17

So 149 + 17 = 166

Therefor your answer is 166

From the calculation above, Dave may have jumped the expression

[tex](x+4)^2= 144[/tex]

Given the expression solved by Dave from step 1 as;

[tex]\dfrac{1}{3}(x+4)^2&=48[/tex]

In order to determine what Dave would have written, we will solve the expression above as shown

[tex]\dfrac{1}{3}(x+4)^2&=48\\(x+4)^2 = 3*48\\(x+4)^2 = 144 ..............eqn \ 2\\[/tex]

Take the square root of both sides

[tex]\sqrt{(x+4)^2} =\pm\sqrt{144}\\x+4=\pm12[/tex]

Hence from the calculation above, Dave may have jumped the expression in equation 2 as shown below;

[tex](x+4)^2= 144[/tex]

Learn more on radical equations here: https://brainly.com/question/20931859

Answer:

previous answer is correct

Step-by-step explanation:

Answer:

1252

Step-by-step explanation:

We're assuming that the same amount of cupcakes were sold each day.

2087/5 = 417.4

417.4 x 3 = 1252.2

Since we can't sell fractions of a cupcake, 1252 were sold on Thursday.

[tex]\\ \sf\longmapsto 20°+2p=70[/tex]

[tex]\\ \sf\longmapsto 2p=70-20[/tex]

[tex]\\ \sf\longmapsto 2p=50[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{50}{2}[/tex]

[tex]\\ \sf\longmapsto p=25[/tex]

Answer:

Option A

Step-by-step explanation:

first calculate side b

which is 35.8

Using 2 lengths, calculate Angle G

Step-by-step explanation:

Any real number that cannot be expressed as the quotient of integers

I HOPE THE DAY GOES GREAT.

Answer:

F(x)=-x^2-4x-1

Step-by-step explanation:

According to PEMDAS, do the exponent part for the parentheses, sense it goes first.

F(x)= -(x^2+4x+4)+3

Then distribute the - sign

F(x)= -x^2-4x-4+3

Then you simplify

F(x)= -x^2-4x-1

Answer:

Hello,

Step-by-step explanation:

do I remind you of the formula  (a+b)²=a²+2ab+b²

[tex]f(x)=-(x+2)^2+3\\\\=-(x^2+4x+4)+3\\\\=-x^2-4x-4+3\\=-x^2-4x-1[/tex]

Sorry i haven't see the sign minus before the parenthesis.

Answer:

160π in²

Step-by-step explanation:

The formula for the surface area of a cylinder is: A = 2πrh + 2πr²

From here we can plug in what we know (r = 4, h = 16):

A = 2π(4)(16) + 2π(4²)

A = 128π + 32π

A = 160π in²

The surface area of a cylinder is 160π in².

The surface area of a cylinder is also called the total surface area of the cylinder.

Suppose that:

Radius of the considered cylinder = 'r' units

Height of the considered cylinder = 'h' units

The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

From here we can plug in what we know that,

(r = 4, h = 16):

A = 2π(4)(16) + 2π(4²)

A = 128π + 32π

A = 160π in²

Hence, the surface area of a cylinder is 160π in².

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Answer:

4/6

Step-by-step explanation:

a number which means "x" or u can name any variable u want

so the product of a number and four means

X×4

the increased by one or plus one

X×4+1

is at least 7

X(4)+1=7

4x+1=7

4x=7-1

4x=6

x=4/6

i guess so

lemme know if I'm right

Answer:

x≥3/2

Step-by-step explanation:

since we know that there is an unknown number being multiply with four, we're going to represent it as x:

(x*4)

It then multiply it with one:

(x*4)+1

And we know that it has to be 7 or greater than that:

(x*4)+1≥7

Now, we're going to do the math:

4 multiply with x is 4x

(x*4)+1≥7= 4x+1≥7

then, we're going to toss one to another side and minus it with seven

4x+≥7-1 = 4x+≥6

afterward, we divide everything by four to find what x is:

(4x+≥6)/4 = x≥3/2

Answer:

(i) a = 2

   b = -1

   c = -1

(ii) x= 1

Step-by-step explanation:

Step 1: Factorise

[tex]f(x) = 2(x^{2} -2x+\frac{1}{2})[/tex]  

Step 2: Use the complete square method.

[tex]f(x)=2(x^{2} -2x+(\frac{-2}{2})^{2} + \frac{1}{2} - (\frac{-2}{2})^{2} )[/tex]  

Step 3: Have it to [tex]a(x+b)^{2} +c[/tex]

[tex]f(x)=2((x-1)^{2} -\frac{1}{2} )\\ = 2(x-1)^{2} -1[/tex]

Line of symmetry:  

To find line of symmetry, we use -b/2a formula.

Based from [tex]2x^{2} -4x+1[/tex]:

a=2, b=-4

-b/2a = -(-4)/2(2) = 1

Answer:

x = 67°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180 for x , that is

x = 180° - (38 + 75)° = 180° - 113° = 67°

Answer:

130

Step-by-step explanation:

Arc length = 2*pi*r*(central angle)/360

18=2*pi*8*(central angle)/360

Central angle=130

Answer:

B-bracket

O-of

D-division

M-multiplication

A-addition

S-subtraction

Step-by-step explanation:

18-3×5+32÷4

18-3×5+8 (by dividing 32 by 4 = 8)

18-15+8(by multiplying 3×5=15)

18-7( by -15 +8= 7 )

11

hence proved

11 is the answer by BODMAS rule .

hope this helps you

mrk me braniliest

Answer:

Nature's Delight

Step-by-step explanation:

It offers the lowest unit for carrots.

Answer:

Local Eats

Step-by-step explanation:

billy4277 told the answer in a comment on the first answer

Answer:

x=-8

Step-by-step explanation:

4(1/2x+7)=12

Divide each side by 4

4/4(1/2x+7)=12/4

(1/2x+7)=3

Subtract 7 from each side

1/2x+7-7=3-7

1/2x = -4

Multiply each side by 2

1/2x*2 = -4*2

x = -8

Answer:

-8

Step-by-step explanation:

Divide both sides by 4 which will give you 1/2x+7=3

Then multipy both sides by 2 which will then give you x+14=16

Then move the constant = x=6-14

6-14 is -8 which will give you x=-8

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

Answer:

Let the two numbers be X

The great number is X and the smaller number is 3X

X=3X

X-3X=12

-2X=12

X=12/-2

X=-6

The other number =3*6=18

2 numbers to find are a and b

We have: a - b = 12; a = 3b

=> a = 18; b = 6

Answer:

217

Step-by-step explanation:

53 + 44 + 46 = 143

360 - 143 = 217

the speed of the boat is 5.418 km/h and the speed of the stream is 2.167 km/h

Let's define the variables:

B = speed of the boat in still water.

S = speed of the stream.

When the boat travels downstream, the total speed of the boat will be equal to the sum of the speed of the stream and the speed of the boat in still water:

speed = B + S

When the boat goes downstream, the speed will be:

speed = B - S

Now, also remember the relation:

speed*time = distance.

The given information is:

In 8 hours the boat can:

go 12 km upstream and 40km downstream.

We now need to define another variable, T, as the time that the boat travels upstream.

Then we can write this as:

12km = (B - S)*T

If the boat travels T hours upstream, and travels for a total of 8 hours, then the amount of time that travels downstream is 8h - T, then we can write:

40km = (S + B)*(8h - T)

Similarly, when we have:

"it can go 16 km upstream and 32 km downstream in the same time."

we can define a new variable T', and write:

16km = (B - S)*T'

32km = (S + B)*(8h - T')

Then we have a system of 4 equations:

16km = (B - S)*T'

32km = (S + B)*(8h - T')

40km = (S + B)*(8h - T)

12km = (B - S)*T

And we need to solve this for S and B.

To do it, we need to isolate one of the variables in one of the equations.

Let's isolate T in the last equation:

T = 12km/(B - S)

now we can replace that in the third equation to get:

40km = (S + B)*(8h - 12km/(B - S))

So now we have 3 equations:

16km = (B - S)*T'

32km = (S + B)*(8h - T')

40km = (S + B)*(8h - 12km/(S - B))

Now we need to do the same thing, this time let's isolate T' in the first equation and replace it in the second one:

T' = 16km/(B - S)

Replacing it in the second equation we get:

32km = (S + B)*(8h - T')

32km = (S + B)*(8h - 16km/(B - S))

So now we have two equations:

40km = (S + B)*(8h - 12km/(B - S))

32km = (S + B)*(8h - 16km/(B - S))

Let's simplify these:

40km = 8h*(S + B) - 12km*(S + B)/(B - S)

32km = 8h*(S + B) - 16km*(S+ B)/(B - S)

Now we can multiply both equations by (B - S) to get:

40km*(S - B) = 8h*(S + B)*(B - S) - 12km*(S + B)

32km*(S - B) = 8h*(S + B)*(B - S) - 16km*(S+ B)

Let's keep simplifying this:

40km*(B - S) + 12km*(S + B) =  8h*(S + B)*(B - S)

32km*(B - S)  + 16km*(S+ B) = 8h*(S + B)*(B - S)

Now we get:

52km*B - 28km*S = 8h*(S^2 + B^2)

48km*B - 16km*S = 8h*(S^2 + B^2)

Notice that the right side of these equations is the same thing, then we can write:

52km*B - 28km*S = 48km*B - 16km*S

(52km - 48km)*B = (28km - 18km)*S

4km*B  =  10km*S

B = (10/4)*S

B = (5/2)*S

Now we can replace this in one of our two equations, let's use the first one:

48km*B - 16km*S = 8h*(S^2 + B^2)

48km*(5/2)*S - 16km*S = 8h*( S^2 + ( (5/2)*S)^2)

Now we can solve this for S

104km*S = 8h*( S^2 + 25/4*S^2)

104km*S = 8h*(29/4*S^2) = 48h*S^2

104km*S = 48h*S^2

dividing at both sides by S we get:

104km = 48h*S

104km/48h = S = 2.167 km/h

And using B = (5/2)*S

We can find the speed of the boat:

B = (5/2)*2.167 km/h = 5.418 km/h

Then:

the speed of the boat is 5.418 km/h and the speed of the stream is 2.167 km/h

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Answer:

slope = -1/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-20 - (-19) / 12 - 10

-1/2