Divide by rationalizing the denominator.
3+5i/10+3i


A. 25+47i/109
B. 60-18i/109
C. 100-30i/109
D. 45+41i/109

Answer:

98

Step-by-step explanation:

show work

Answer:

Any fraction

Step-by-step explanation:

Example:

(2/3)² = 4/9

2/3 > 4/9

Answer:

Any Fraction

Step-by-step explanation:

Example:

(1/3)² = 1/9

1/3 > 1/9

Answer:

The GCF is going to be 7

Step-by-step explanation:

This Is how I find the GCF of 2 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here

The prime factorization of 21, 3 × 7 = 21

The prime factorization of 28, 2 × 2 × 7 = 28

The one and THE only common factor is 7, which is going to be the GCF

Answer:

I can't understand what you wrote but I think it's 594

Step-by-step explanation:

You divide 12 by 2, it is igual to 6.

6 x 33 = 189

189 x 3 = 594

I try to help if it not work :(

Answer:

what we have to prove or equation ?

Answer:

Amy still owes her mother $38.

Step-by-step explanation:

76 - 14 - 24

76 - 14 = 62

62 - 24 = 38

hhhhhhhhhhh

Answer:

width=7 cm

Step-by-step explanation:

perimeter=2(lengths+width)

        56   =2(21+x)

         56  =42+2x

   56-42  =2x

        2x    = 14

            x   =7    

therefore the width=7 cm

2x=12_2 2x=10 x=5 that answer

Answer:

Significant Figures

   7

   4857.169

Decimals

   3

   4857.169

Scientific Notation

   4.857169 × 103

E-Notation

   4.857169e+3

Words

   four thousand eight hundred fifty-seven point one six nine

Explanation: Mark Brainliest plz

Answer:

plz mark me as a brainliest i really need it

Step-by-step explanation:

4857.169

Sig Figs

7

4857.169

Decimals

3

4857.169

Scientific Notation

4.857169 × 103

E-Notation

4.857169e+3

Words

four thousand eight hundred fifty-seven point one six nine

The slope (m) will be "279.33". A further solution to the question is provided below.

At one moment this same instantaneous modification rate would be the same with the functionality derivative assessed somewhere at the time. In certain other terms, the pitch of such tangent line towards the curvature is somewhere at a level equivalent to that as well.

According to the question,

As we know,

⇒  [tex]Slope (m) = \frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the values, we get

⇒                  [tex]=\frac{838-0}{6-3}[/tex]

⇒                  [tex]=\frac{838}{3}[/tex]

⇒                  [tex]=279.33[/tex]

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The instantaneous rate of change is the rate of change at a particular point or instant in the graph. The instantaneous rate of change of P at [tex]t=4[/tex] is 250

I've added as an attachment, the graph that represents the population of the fish.

To determine the instantaneous rate of change at [tex]t=4[/tex], we simply calculate the slope (m) of the tangent line using:

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

Because of the scale of the graph, I will use the following estimated points from the tangent line

[tex](x_1,y_1) = (3,0)[/tex]

[tex](x_2,y_2) = (4,250)[/tex]

So, the slope is:

[tex]m = \frac{250 - 0}{4 - 3}[/tex]

[tex]m = \frac{250}{1}[/tex]

[tex]m = 250[/tex]

Hence, the instantaneous rate of change of P at [tex]t=4[/tex] is 250

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Answer:

1. [tex]2(16 {y}^{4} - 81)[/tex]

2. [tex]2(2y - 3) \times (2y + 3) \times (4 {y}^{2} + 9)[/tex]

Step-by-step explanation:

1. [tex] a^{8} - {b}^{8} [/tex]

➡️ [tex]( {a}^{4} - {b}^{4} ) \times ( {a}^{4} + {b}^{4} )[/tex]

➡️ [tex]( {a}^{2} - {b}^{2} ) \times ( {a}^{2} + {b}^{2} ) \times ( {a}^{4} + {b}^{4} )[/tex]

➡️ [tex](a - b) \times (a + b) \times ( {a}^{2} + {b}^{2} ) \times ( {a}^{4} + {b}^{4} )[/tex]

➡️ [tex]2(16 {y}^{4} - 81)[/tex] ✅

---------------------------------------------------

2. [tex] 32 {y}^{4} - 162[/tex]

➡️ [tex] 2(16y^{4} - 81)[/tex]

➡️ [tex]2(4 {y}^{2} - 9) \times (4 {y}^{2} + 9)[/tex]

➡️ [tex]2(2y - 3) \times (2y + 3) \times (4 {y}^{2} + 9)[/tex] ✅

Answer:

x = y+9/4

Step-by-step explanation:

if you were trying to rearrange to make x the subject. Take minus 9 to another side which will be plus 9, then divide y+9 by 4

Answer:

2 1/10 miles.

Step-by-step explanation:

She has already jogged 2 1/2 + 3 2/5 miles.  This is 2 5/10 + 3 4/10 or 5 9/10.  8 miles is also equal to 7 10/10 miles.  So, to find the remaining amount of miles, we can do 7 10/10 - 5 9/10 = 2 1/10.

Amaya still needs 2.1 miles to jog to meet her goal​.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Operators who let do basic mathematical calculations.

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that this week she has jog 2 1/2 miles on Monday and 3 2/5 miles on Wednesday

She has already jogged 2 1/2 + 3 2/5 miles.  

⇒ [tex]2\dfrac{1}{2} + 3\dfrac{2}{5} = \dfrac{5}{2} + \dfrac{17}{5}[/tex]

Convert fractions into decimals,

⇒ 2.5+3.4

Apply the arithmetic operation,

⇒ 5.9

So, to find the remaining amount of miles,

⇒ 8 -5.9 = 2.1

Hence, Amaya still needs 2.1 miles to jog to meet her goal​.

Learn more about Arithmetic operations here:

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#SPJ2

Answer:

Five billion, two hundred forty-eight million, six hundred sixty-three thousand, seven hundred eleven.

Answer:

It is 2/15

Step-by-step explanation:

[tex] = \sqrt{ \frac{1}{ {6}^{2} } - \frac{1}{ {10}^{2} } } \\ \\ = \sqrt{ \frac{4}{225} } \\ \\ = \frac{ \sqrt{4} }{ \sqrt{225} } \\ \\ = \frac{2}{15} [/tex]

Number lines are used to represent numbers on a line at regular intervals. The coordinate of point H is -2.2

From the number line, we have:

[tex]C = -4[/tex]

[tex]F = 5[/tex]

First, we calculate the distance between C and F using absolute functions

[tex]CF = |C - F|[/tex]

[tex]CF = |-4- 5|[/tex]

[tex]CF = |-9|[/tex]

Remove absolute bracket

[tex]CF = 9[/tex]

Point H is [tex]\frac 15[/tex] of the distance so, we have:

[tex]H = \frac 15 CF[/tex]

[tex]H = \frac 15 \times 9[/tex]

[tex]H = 1.8[/tex]

This means that point H is 1.8 from the right of C.

So, the coordinate of H is:

[tex]H = C + 1.8[/tex]

[tex]H = -4 + 1.8[/tex]

[tex]H = -2.2[/tex]

Hence, the coordinate of point H is -2.2

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Answer:

B

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Bh ( B is the area of the triangular base and h the height )

B = [tex]\frac{1}{2}[/tex] bh

Here b = 8 and h = 6 ( perpendicular legs )

B = [tex]\frac{1}{2}[/tex] × 8 × 6 = 4 × 6 = 24 ft² , then

V = 24 × 3 = 72 ft³ → B

Answer:

x = 10

y = 6

Step-by-step explanation:

We can use the vertical angle theorem to solve for most of this problem. We know that 1/3 will have the same measure and so will 4/2. We can create an equation to solve for 1 and 3.

10x = 100

x = 10

We aren't given angle 4 so we are going to have to solve that ourselves. We can create an equation knowing that 4 and 3 will create a supplementary angle.

100 + z = 180

z = 80

Now, that we have angle 4, we know that angle 2 will have the same measure because they are vertical angles. Now to find the value of y, we can take the angle measure and solve for it.

10y + 20 = 80

10y = 60

y = 6

Best of Luck!

Answer:

D = (3,3)

E = (-5,0)

F = (-2,2)

Step-by-step explanation:

the y axis is the vertical line of the graph so an example of flipping would be (-3,5) turns to (3,5) changing only the x value same the other way around (5,-9) turns to (-5,9) only the x value changes symbol

Answer:

D1 = (3, 3)     E1 = (-5, 0)      F = (-2, -2)

Step-by-step explanation:

D1 = (3, 3)

E1 = (-5, 0)

F = (-2, -2)

Answer:

A. Divide both sides of the equation by 3, and then subtract 6 from both sides of the equation. The solution is x = 1.

Step-by-step explanation:

3(x + 6) = 21

Divide both sides by 3

(x + 6) = 7

Subtract 6 from each side

x = 7-6

x=1

Answer:

x=1

Step-by-step explanation:

multiply 3 with (x+6) resulting into 3x+18=21

cross-multiply and divide through by 3.

There u go

Answer: 3

Step-by-step explanation:

[tex]\sqrt{ \dfrac{45}{5}} =\sqrt{9}=\bold3[/tex]

Answer:

3

Step-by-step explanation:

We don't really need to simplify this, but if you do:

45/5 is the same as 45 ÷ 5 so

45/5 = 9

Now we have to find the square root of 45/5(or 9). The square root of a number(x for example) is the number(y) that multiplied by itself once will equal x or y · y = x.

For this you can use a calculator:

[tex]\sqrt{\frac{45}{5} }[/tex] = 3

or

[tex]\sqrt{9}[/tex] = 3

Step-by-step explanation:

15/4÷3/4

15/4×4/3 (2 reciprocal of 3 upon 4)

5/1

or 4 1/1 Answer

4,4 will be cancelled 15 will be cancelled by 3

Answer:

SAS

Step-by-step explanation:

line AB = line CD    S = SIDE

AB = CD because the shape is a parallelogram and opposite sides of a parallelogram are equal.

Hence, proved AB = CD

Answer:

Step-by-step explanation:

In ΔADC & ΔABC,

Statement              Reason

AD = BC                 Given

∠DAC ≅ ∠ACB       {AB // BC , AC is transversal, ⇒ alternate interior                                     angles are equal}

AC = CA                   Reflexive property

ΔADC ≅ ΔABC         SAS congruent

AB = CD                 CPCT -> Corresponding Part of Congruent Triangles

second choice i’m prolly wrong

Answer:

the lateral area of cone is L=A﹣πr2

the surface area of cone is

[tex]a = \pi \: r \sqrt{h^{2} + r {}^{2} }[/tex]

Answer: I think its D and A

Step-by-step explanation:

Answer:

im pretty sure its D and also A

Step-by-step explanation: