Simplify the given expression below:

(3 + 4i) + (5 - 2i)

1) -2 + 6i

2) 2 - 2i

3) 7 +3i

4) 8 + 2i

Answer:

x = 3

LP = 3.5

Step-by-step explanation:

JK and LK are chords of the circle each of 7 units long.

Therefore,

JK = LK

Equal chords are equidistant from the center of the circle.

So,

PS = NS

4x - 6 = 6

4x = 6 + 6

4x = 12

x = 12/4

x = 3

LP = LK/2 ( Perpendicular dropped from the center of the circle to the chord bisects the chord)

LP = 7/2

LP = 3.5 units

Answer:

Step-by-step explanation:

8000000

Hope that helps!

Answer:

8000000.00001

Step-by-step explanation:

there ya go

Answer:

4

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

y=3  ZERO slope

Since each point has 3 (same number ) as y coordinate,this is a zero slope

You will see an horizontal line on the coordinate plan

Answer:

14 son varones

Step-by-step explanation:

Primero tenemos que sumar la cantidad de niños y niñas para saber cuantos hay en total

45 + 35 = 80

60 de ellos viven en el Distrito de Breña entonces los descontamos del total

80 - 60 = 20

Esto nos dice que 20 NO viven en Breña. Si 30% son mujeres quiere decir que el resto 70% son varones. Asi que multiplicamos los 20 por 70% en formato decimal que seria 0.70

20 * 0.70 = 14

Finalmente, podemos ver que 14 son varones viviendo fuera de Breña

Answer:

x = 7

Step-by-step explanation:

- 3x - (1 - x)= -15

-3x - 1 + x = -15

-2x - 1 = -15

-2x = -14

x = 7

Answer:

$5.47

Step-by-step explanation:

You multiply 2 by 0.79. Then you add that result (1.58) to 3.89 and you get your answer.

Answer:

[-1/2,1/20]

Step-by-step explanation:

Answer:

[-1/2,1/20]

Step-by-step explanation:

In terms of inequalities, we are asked to find all $u$ such that $2u\ge -1$ and $-20u\ge -1$.

The solution to the first inequality, obtained by dividing both sides by $2$, is $u\ge -\frac{1}{2}$.

We can solve the second inequality by dividing both sides by $-20$, but because we are dividing by a negative number, we must reverse the direction of the inequality: $u\le \frac{1}{20}$.

The set of $u$ which satisfy both inequalities simultaneously is thus $\boxed{\left[-\frac{1}{2},\frac{1}{20}\right]}$.

Answer:

D. 11 feet 11 inches

1 foot= 12 inches

143/ 12 = 11 11/12

Answer:

D) 11 feet and 11 inches

Step-by-step explanation:

First we know that there is 12 inches in a foot. So let's start with a.

14 inches x 12 inches (one foot) is 168 inches (so it's not this one:)

13 inches x 12 inches is 156 inches (It's not this one either)

12 inches x 12 inches is 144 inches (not this one)

11 inches x 12 inches is 132 inches (so it could be this one, let's add the remaining inches).

132 + 11 inches = 143 inches.

(Notice I didn't add the remaining inches on A, B, or C because the number of inches was already too much. I did on D because the number of inches was below the given number of 143.

Hope this helps!!

Have a wonderful day!!

Answer:

She will do 61 sit ups.

Step-by-step explanation:

The number of situps are increasing by 4 each day.

So at this rate...

Day 6: 37

Day 7: 41

Day 8: 45

Day 9: 49

Day 10: 53

Day 11: 57

Day 12: 61

Answer:

This the ans

Step-by-step explanation:

V

≈

461.81

in³

Answer:

Formula for Volume of Cylinder = pi x r^2 x h

Volume = 3.14159 x 7^2 x 3

Volume  = 461.81373 in^3

Volume  = 461.8 in^3

Answer:

Answer:

1st one

Step-by-step explanation:

spinner colours: green, blue, red

card colours: purple, green

possible outcomes:

green + purple

green + green

blue + purple

blue + green

red + purple

red + green

Answer:

A.

Step-by-step explanation:

Match the table units.

If you look at each inside cell, it matches what your result is.

Hope this helps. Have a nice day.

(Make sure that each cell matches with each color.)

Answer:

(2,-1)

Step-by-step explanation:

i think it's that.

Answer:

3) cos A = 12/13 = 0.9231

1) sin A = 5/13 = 0.3846

2) tan C = 12/5 = 2.4000

Step-by-step explanation:

Answer:

21 would be the correct aswer

Step-by-step explanation:

Answer:

what year is this work

Step-by-step explanation:

I don't know sorry. what to help.

Answer:

Therefore the value of tangent of ∠m is .9°.

Answer: x^2+29x+39

You would first have to set up an equation, which would be ((2x+9)⋅(x+6))-((x-5)⋅(x-3)) to find the area of both rectangles.

Then you can simplify it, which gives us 2x^2+21x+54-(x^2-8x+15)

Then simplify it even more which gives us 2x^2+21x+54-x^2+8x-15

Then we can get our answer: x^2+29x+39

Hope that helps :)

Answer:

(0,0)

(2,2)

(0,1)

Step-by-step explanation:

All of these points lie inside

Answer:

y = 1/2x + 4

Step-by-step explanation:

If it's parallel, then the slope will remain the same.

To find the y-intercept, you have to plug the coordinates into the equation.

y = 1/2x + b

6 = 1/2 (4) + b

6 = 2 + b

4 = b

Answer:

7-(-3)

Step-by-step explanation:

The answer is 7-(-3).

You're subtracting (-3) from 7.

7-(-3) = 7+3 because -(-3) = 3.

Answer:

1 and 2/3

Step-by-step explanation:

If

length = 1/3     and width= 1/2

then the equation will look like this,

2(1/3+1/2)

1/3+1/2= 5/6

2(5/6)= 1 and 2/3

Answer:

32.5

Step-by-step explanation:

23x6÷4-2 and that's how you get your answer

Answer: x=0 and y=0

Step-by-step explanation:

Answer:

189

Step-by-step explanation:

Given data

Initial population=350

Rate = 6%

TIme= 10 years

Let us apply the compounding expression

A=P(1-r)^t----------The negative sign is due to decreasing value

substitute

A= 350(1-0.06)^10

A=350(0.94)^10

A=350*0.5386

A=188.51

Hence the approximate population will be 189

Responder:

4080,96 Julios

Explicación paso a paso:

La energía potencial gravitacional adquirida se puede obtener mediante la relación:

EPG = masa * aceleración por gravedad * altura

Masa = 52 kgb; aceleración debida a la gravedad = 9,81; h = 8 metros

EPG = 52 * 9,81 * 8

EPG = 4080,96 julios