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Vedmedyk [2.9K]
3 years ago
8

Express the radical using the imaginary unit, iii. Express your answer in simplified form. \pm\sqrt{-34}=\pm± −34 ​ =±plus minus

, square root of, minus, 34, end square root, equals, plus minus
Mathematics
2 answers:
Yuki888 [10]3 years ago
6 0

Answer:

\pm \sqrt{-34} = \pm 5.831i

Step-by-step explanation:

We have to express the given radical using imaginary unit.

\sqrt{-34}

We know that, imaginary unit:

i = \sqrt{-1}

We may solve the radical as:

\pm \sqrt{-34}\\=\pm \sqrt{34\times -1}\\=\pm \sqrt{34}\times \sqrt{-1}\\=\pm \sqrt{34}\times i\\=\pm \sqrt{34}i\\\approx \pm 5.831i

olga55 [171]3 years ago
4 0

Answer:

6i

Step-by-step explanation:

On khan academy its 6i

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You want to make 3 pairs of earrings that are in the shape of isosceles triangles. Each earring will have a base of 2 cm. The wi
son4ous [18]

Answer:

The length of each of the other two sides would be  3.1 cm

Step-by-step explanation:

<u><em>The options of the question are</em></u>

A. 3.1 cm

B. 3.2 cm

C. 4.2 cm

D. 6.1 cm

we know that

An isosceles triangle has two equal sides and two equal interior angles

Let

x -----> the length of each of the two equal sides in the isosceles triangle

The perimeter of one isosceles triangle is equal to

P=2x+2

Remember that

To maximize the use of the wire, the perimeter of 6 earrings (3 pairs of earrings) must be equal to 50 cm

so

6(2x+2)=50

Solve for x

12x+12=50

12x=50-12

12x=38

x=\frac{38}{12}=3.16\ cm

therefore

The length of each of the other two sides would be  3.1 cm

7 0
3 years ago
Please show work for both problems
sukhopar [10]

(1) The value of x is 25

(2) The measure of ∠CBD is 60°

Explanation:

(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.

Thus, we have,

5x+15=6x-10

Subtracting 5x from both sides, we have

15=x-10

Adding 10 to both sides , we have,

25=x

Thus, the value of x is 25.

(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°

Since, these two angles are supplementary angles and supplementary angles add upto 90°

Thus, we have,

2x+14+x+7=90

Simplifying, we get,

3x+21=90

       3x=69

         x=23

Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.

2x+14=2(23)+14=46+14=60

Thus, the measure of ∠CBD is 60°

5 0
3 years ago
Terri Clifford bought a Sunday dress for $36. The sales tax was 6%. Find the total cost of the dress.
Kipish [7]
Total cost is $38.16

Multiply 36 by 0.06 (2.16)
Add 2.16 to 36 (38.16)
6 0
3 years ago
Read 2 more answers
4/5 DIVIDED BY 16/15
Doss [256]

Answer: 3 /4

Step-by-step explanation:

Exact Form:  3 /4

Decimal Form:

0.75

6 0
3 years ago
What is the inverse of f(x)=(x+6)2 for x≥–6 where function g is the inverse of function f? g(x)=x√−6, x≥0 g(x)=x−6−−−−√, x≥6 g(x
avanturin [10]

Answer:

g(x)=\sqrt{x}-6, x>=0

Step-by-step explanation:

f(x)=(x+6)^2

To find the inverse function , replace f(x) by y

y=(x+6)^2

Replace x with y and y with x

x=(y+6)^2

Solve the equation for y

take square root on both sides

+\sqrt{x} =y+6

Now subtract 6 from both sides

+\sqrt{x}-6=y

replace y with g(x)

g(x)=\sqrt{x}-6

8 0
3 years ago
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