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Eduardwww [97]
2 years ago
10

Find the distance between 2-4i and d 6+i

Mathematics
1 answer:
liq [111]2 years ago
8 0

Answer:

7.211

Step-by-step explanation:

-For two points in the complex plane, the distance between the points is the modulus of the of the difference of the two complex numbers.

-Point 2-4i has the coordinates (2,-4)

-Point 6+i has the coordinates (6,1)

#We must find the distance between the two coordinates (2,-4) and (6,1):

=\sqrt{(6-2)^2+(1--4)^2}\\\\=\sqrt{4^2+6^2}\\\\=\sqrt{52}\\\\=7.211

Hence, the distance between the two points is 7.211

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Dina planted a six-foot tree in her backyard which she expects to grow at the rate of 4 feet per year. Find the equation of the
Scrat [10]

Answer:

y = 6 + 4x

After 4 years, the tree would be 22 ft tall.

Step-by-step explanation:

Hi there!

Let x = the number of years that pass

Let y = the height of the tree (ft)

We're given that the 6-foot tree grows at a rate of 4 ft per year. This means that the height of the tree will be equal to 6 ft, the original height, plus another 4 ft every year that passes.

Height of tree = 6 feet + 4 feet × number of years that pass

y = 6 + 4x

To solve for how tall the tree would be 4 years after Dina plants it, replace x with 4, since 4 years have passed:

y = 6 + 4(4)

y = 6 + 16

y = 22

Therefore, the tree would be 22 ft tall.

I hope this helps!

8 0
2 years ago
A die is rolled once what is the probability of rolling not a 4
snow_lady [41]

Answer:

I think 1/6

Step-by-step explanation:

A die has 6 sides so every side has 1/6 chance to land on

8 0
3 years ago
the first box measures 18 inches by 8 inches by 15 inches. the second box is 10 inches tall and the area of the base measures 19
Mandarinka [93]

Answer:

  Box 1 has the greater volume, by 200 in³

Step-by-step explanation:

The largest of two volumes can be found by computing each volume and comparing the results.

<h3>Box 1</h3>

The volume is computed from dimensions by ...

  V = LWH

  V = (18 in)(8 in)(15 in) = 2160 in³

__

<h3>Box 2</h3>

The volume is computed from area and height by ...

  V = Bh . . . . . where B is the base area, and h is the height

  V = (196 in²)(10 in) = 1960 in³

__

<h3>Comparison</h3>

The units of the two volumes are the same, so we can decide which is larger by comparing the numbers. Box 1 has a volume that is more than 2000 in³, and Box 2 has a volume that is less than 2000 in³.

  Box 1 has a greater volume

The amount by which the volume is greater can be found by subtracting the smaller volume from the larger:

  2160 in³ -1960 in³ = 200 in³

  Box 1 is larger by 200 in³

_____

<em>Additional comment</em>

The percentage by which Box 1 is larger than Box 2 can be found by multiplying 100% by the ratio of the difference to the Box 1 volume:

  200/1960 × 100% ≈ 10.2%

Box 1 is about 10% larger than Box 2.

3 0
2 years ago
Read 2 more answers
A puppeteer is making a triangular hat for a puppet. If two of the three angles of
Burka [1]

Answer:

The triangle is an isosceles triangle and the measure of the third angle is 120°

Step-by-step explanation:

the other nd 2 angles in the triangle both measures 30 degrees, the triangle angle sum theorem states that all the angles in a triangle add up to 180 degrees. Add the first two angles together and subtract it from 180. That's

180 - 60 and it equals 120

5 0
2 years ago
The length if Sally's garden is 4 meters greater than 3 times the width. The perimeter of her garden is 72 meters. Find the dime
ololo11 [35]

Answer: So lets say that the width is w. The length(L) is 4 meters greater than 3 times the width. 3 times the width would be 3w, and then 4 meters greater than that would be 3w+4. You have two widths and two lengths to a rectangle that must add up to equal 72. So 2w + 2L =72. But remember that one L equals 3w+4

2(w) + 2(3w+4) = 72

2w+6w+8=72

8w+8=72

8w=64

w=8

L=3w+4

L=3(8)+4

L=24+4

L=28

So the dimensions are 8 meters by 28 meters

To check 2(8)+2(28)=72

6 0
3 years ago
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