Explain why (2 + 3i)(2 – 3i) is a REAL number.

Answer:

Approximately 0.333

Step-by-step explanation:

If we graph this we see that the line goes over the y-axis at (0,0.333)

*I use desmos graphing calculator*

Answer:

1/3 is the y-intercept of the function f(x)=-2/9x + 1/3.

Step-by-step explanation:

[tex]f(x) = mx + c \\ f(x) = - \frac{2}{9} x + \frac{1}{3}\\where,\:c\: is\: the\: intercept. [/tex]

Answer:

it is -2/3 because you move the point to the left twice and down three times.

Answer:

Step-by-step explanation:

Quadrante 5

Answer:

9/16

Step-by-step explanation:

i took the test ;)

The surface area of the new cube is (27/8) times the surface area of the original cube

The formula for surface area of a cube is equal to six times of square of length of the sides of cube. It is represented by 6a2, where a is the side length of cube.It is basically the total surface area.

Surface area S = 6a² ,

where a is the side of the cube

Given data ,

Let the original cube have side length 's'.

The surface area of the original cube is given by 6s^2, since a cube has 6 equal square faces.

When the cube is dilated by a scale factor of 3/4, each side length of the new cube is 3/4 times the length of the corresponding side of the original cube. Therefore, the side length of the new cube is:

s' = (3/4) s

The surface area of the new cube is also given by 6 times the area of one of its faces, which is:

(3/4)s x (3/4)s = (9/16)s²

Therefore, the surface area of the new cube is 6 times (9/16)s^2, or:

6 x (9/16)s² = (27/8)s²

Hence , the surface area of the new cube is (27/8) times the surface area of the original cube

To learn more about surface area of cube click :

https://brainly.com/question/12079637

#SPJ3

Answer:

7.62

Step-by-step explanation:

We can use the distance formula

d = sqrt(  (x2-x1)^2 + ( y2- y1) ^2 )

  d = sqrt(  (1 - -2)^2 + ( 4 - -3) ^2 )

  d = sqrt(  (1 +2)^2 + ( 4 +3) ^2 )

d = sqrt(  (3)^2 + ( 7) ^2 )

d = sqrt( 9+49)

d = sqrt( 58)

7.615773106 or approximately 7.62

Answer:

7.62

Step-by-step explanation:

Ultimately, you want to create the two imaginary lines to form a triangle and to find the hypotenuse which is the distance between point A and point B.  From point B to the center of point A but not at it is 7 units and from there to point A, it is 3 units.  7^2 and 3^2 make up 49 and 9 which equals to 58.  Finally, square root that number and you will get 7.62 as your distance.

Answer: Which questions?

Answer:

The two questions are not available for the question.

Step-by-step explanation:

b^5 x b^10 = b^5+10

b^15

b^15 to y

Answer:

Step-by-step explanation:

here you go mate

step 1

2(13+x)≤ 16

step 2

2(13+x)≤ 16  simplify

2x≤-10

step 3

[tex]\frac{2x}{2}\leq \frac{-10}{2}[/tex]  Divide both sides by (2)

answer

x≤-5

mind if i get brainliest?

Answer:

4 2 8 89 8

Step-by-step explanation:

Answer:

y=2

Step-by-step explanation:

horizontal lines are y= the y intercept

if you want the line to go through the point (-2,2) it would be y=2 because points are written as (x,y)

the line y=2 would cross through the y access at 2 and also cross through every other point that is (x,2)

Answer:

5.15

Step-by-step explanation:

13 - 7.85 = 5.15 ( I may be wrong lol )

Answer:

sawarasenaikimiwa⛓shoujonano?✨böKùWâÿARiçHiñBįCChīńOoSûDàYO

-by-step explanation:

Answer

Domain= {-6, -4, 3, 6}

Range= {2, 4, 6}

Answer:

45x - 60y

Step-by-step explanation:

15 × 3x = 45x

15 × 4y = 60y

put them together

45x - 60y

Answer:

-5 or -3

Step-by-step explanation:

correct me if im wrong

PLEASE GIVE ME BRAINLEST I WORK HARD

Answer:

-3

Plzzzzz give me Brainliest!!!!!

Answer: Each car would be 1.25

Step-by-step explanation: I found this answer by dividing 50 by 44 since the thing all together weighed 5 and there were 44 cars and to check my thing i did 1.25 times 44 and i got 50 and if you add 1.25 44 timed you get 50!

Answer:

You cannot see the question?

Step-by-step explanation:

Answer:

it would be 18

Step-by-step explanation:

Because both 6,9 are factors of 18 and 3 cant do it because its under 6,9 and 12 is a multiple 6 but not 9.

Answer:

The required equation is:

Step-by-step explanation:

We know that

distance = rate × t

Given that a car moving at a constant speed passed a timing device at t=0.

In other words, at t = 0 second, d = 0 ft.

After 7 ​seconds, the car has traveled 567 ft.

In other words, at t = 7 seconds, d = 567 ft

Thus, there are two points

(0, 0)

(7, 567)

Finding the slope between (0, 0) and (7, 567)

Using the formula

Slope = Rate of change = [y₂-y₁] / [x₂-x₁]

                                        = [567 - 0] / [7-0]

                                        = 567 / 7

                                        = 81 ft/second

Given that the car is moving at constant speed. So, we dont't have any other factor or term to consider

Thus, the required equation is:

distance = rate × t

d = 81 × t

d = 81t

or

f(t) = 81t

VERIFICATION

Given the equation

d = 81 × t

Put t = 0 to find the disatance in 1 sec

d = 81 × (0) = 0 ft

Put t = 7 to find the distance in 7 seconds

d = 81 × (7) = 567 ft

Answer:

a) x = 18

b) y = 35

c) t = 4.5

Step-by-step explanation:

a) x + x + x = 54

3x = 54

x = 54 ÷ 3

x = 18

b) y/5 = 7

(y/5) × 5 = 7 × 5

y = 35

c) 4t + 6 = 24

4t +6 - 6 = 24 -6

4t = 18

4t ÷ 4 = 18 ÷ 4

t = 4.5

Answer:

a) 18

b) 35

c) -4.5

Step-by-step explanation:

a) x + x + x = 54

combine like terms.

3x = 54

Divide both sides by 3.

x = 18

b) y / 5 = 7

Multiply both sides by 5.

y = 5 × 7

y = 35

c) 4t + 6 = 24

Take 6 to right side.

4t = 24 - 6

4t =  -18

Divide both sides by 4.

t =  -4.5

Answer:

x = -6

Step-by-step explanation:

Equations

Solve the equation:

x + 6 = -x - 6

We must find the value of x that makes the identity above true.

Let's join all the variables on the left side and the numbers on the right side.

Adding x:

x + 6 + x = -x - 6 + x

The variables cancel out on the right side:

2x + 6 = -6

Subtracting 6:

2x + 6 - 6 = -6 -6

The 6 and -6 are canceled out:

2x = -12

Dividing by 2:

x = -12/2

x = -6

Answer:

40 feet to the nearest foot.

Step-by-step explanation:

The tree , the distance from the base of the tree on the ground (30 ft) and the distance from this point to the top of the tree form a right triangle.

So if the height of the tree is h:

tan 53 = h / 30

h = 30 tan53

h = 39.81 feet.

Answer:

1020

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

5x + 7x + 3x = 180°

15x = 180°

x = 180°÷15

x = 12

Answer: The two consecutive numbers are 6 and 7.

Step-by-step explanation:

Here the problem is that the logarithm is not the natural logarithm we usually use, to return to the natural logarithm, we can use the next property:

Logₐ(x) = Ln(x)/Ln(a)

Then:

Log₂(75) = Ln(75)/Ln(2)

Now we can do these calculations.

Ln(75)/Ln(2) = 4.317/0.693 = 6.229

Now we want to find two consecutive integers, n and m, such that:

n < 6.229 < m

Because they are consecutive numbers, we must have:

m = n + 1

then:

n < 6.229 < n + 1

The only possibility here is:

n = 6

n + 1 = 7

The two consecutive numbers are 6 and 7.

Answer:

5

65

Step-by-step explanation:

+1

+10

Answer:

X = 3

Step-by-step explanation:

18 - 3 = 15

5x = 15

divide both sides by 5

X = 3

Answer:

[tex]3 - 5x = 18 \\ - 5x = 18 - 3 \\ - 5x = 15 \\ x = \frac{15}{ - 5} \\ \boxed{x = - 3}✓[/tex]