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inessss [21]
3 years ago
15

How do you simplify square root of -36 all divided by 2 into 3i and -3i?

Mathematics
1 answer:
posledela3 years ago
5 0

Answer:+3i or -3i

Step-by-step explanation:

±√(-36)=+√(-36) or -√(-36)

+√(-1)×√(36) or -√(-1)×√(36) √(-1)=i

+i×6 or -i×6=+6i or -6i

Dividing by 2 we get

+6i/2 or -6i/2=+3i or -3i

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The cost of a car rental is ​$30 per day plus 18c per mile. You are on a daily budget of ​$75. Write and solve an inequality to
Tanzania [10]

Answer:

2. 5 miles

Step-by-step explanation:

Given that:

Rental cost = $30

Cost per mile driven = 18 cent

Daily budget = $75

Greatest distance you can drive each day while staying within budget :

Rental cost + (cost per mile driven * distance) ≤ daily budget

$30 + 18d ≤ $75

18d ≤ 75 - 30

18d ≤ 45

d ≤ 45 / 18

d ≤ 2.5

Greatest distance you can drive each day while staying within budget is 2.5 miles.

8 0
2 years ago
which is the slope of a line that is perpendicular to the line that passes through the points (29, 24) and (3, 4)?
Nataliya [291]

Answer:

26/20

Step-by-step explanation:

y2-y1 divided by x2-x1

4-24= -20

3-29= -26

-20/-26= m

perpendicular means to switch the numbers and change the sign

a perpendicular slope to -20/-26 is 26/20.

3 0
3 years ago
John is saving money to buy a game. so far he has saved $12 , which is one-fourth of the total cost of the game. how much does t
Dovator [93]
One fourth of the game cost $3
4 0
3 years ago
Acellus
Step2247 [10]

Answer:

57 cm²

Step-by-step explanation:

Surface area of the yellow prism = front + back + right + left + top

✔️Area of the front = L * W

L = 4 cm

W = 3 cm

Area of the front = 4*3 = 12 cm²

✔️Area of the back = L * W

L = 4 cm

W = 3 cm

Area of the back = 4*3 = 12 cm²

✔️Area of the right face = L * W

L = 4 cm

W = 3 cm

Area of the right face = 4*3 = 12 cm²

✔️Area of the left face = L * W

L = 4 cm

W = 3 cm

Area of the left face = 4*3 = 12 cm²

✔️Area of the top = L * W

L = 3 cm

W = 3 cm

Area of the top = 3*3 = 9 cm²

✅Total = 12 + 12 + 12 + 12 + 9 = 57 cm²

4 0
2 years ago
The center of a circle is at the origin. and endpoint of a diameter of the circle is at (-3, -4. how long is the diameter of the
Aleks [24]
The diameter is 10:

To do this we must use the distance formula:

Distance =√(x2−x1)^2+(y2−y1)^2

So, if we substitute in our values for the origin and endpoint (origin is 1 values, endpoint is 2)

D=✓(-4-0)^2+(-3-0)^2

Simplified, this is

D=✓16+9
D=✓25
D=5

so, the distance from the center of the crcle to the endpoint is 5 (making the radius)

multiply by two, and the diameter of the circle is 10 :)
4 0
2 years ago
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