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oee [108]
3 years ago
7

Find all solutions to the equation equation (x - 1)^2 = -4.

Mathematics
1 answer:
tatuchka [14]3 years ago
6 0

Answer:

x = 1±2i

Step-by-step explanation:

(x - 1)^2 = -4.

Take the square root of each side

sqrt( (x - 1)^2) = sqrt(-4)

Sqrt(ab) = sqrt(a)sqrt(b)

We know the sqrt(4) = 2 and the sqrt(-1) = ±i

x-1 = ±2i

Add 1 to each side

x-1+1 = 1±2i

x = 1±2i

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Help me i’ll give brainliest
jonny [76]

Answer:

D and B

Step-by-step explanation:

4 0
3 years ago
Identify the values of a, b, and c in this quadratic equation:
riadik2000 [5.3K]

Answer:

C

a = 1 : b=-8; C = 12

Step-by-step explanation:

I think you did not include the sign between the x^2 and the 8x...my guess is that it is a minus.

By process of elimination the answer is not B or D bc the a-value is 1 not 0.

Then the +12 you did include in the original question indicates that the c-value is 12 not -12 eliminating answer A.

3 0
2 years ago
When 80% of a is added to the number, the result is 252. What is the number
wariber [46]
Use the equation .8x + x = 252
x is the number, and .8 is the decimal equivalent of 80%.

1.8x = 252

x = 140
6 0
4 years ago
Our hearts beat approximately 70 times per minute. Express in scientific notation how many times the heart beats over a lifetime
earnstyle [38]

Answer:

2.69 x 10^{9}

Step-by-step explanation:

We are given the heart's speed - 70 bpm

We count the number of minutes in 73 years :

  • 1 year = 365 days
  • 1 day = 24 hours
  • 1 hour = 60 minutes
  • 73 x 365 x 24 x 60 = 38,368,800 minutes

We multiply the heart's bpm with 73 years worth of minutes

38,368,800 x 70 = 2,685,816,000

Write the number in scientific notation = 2.68581 x 10^{9} ≈ 2.69 x 10^{9}

7 0
3 years ago
9. The ticket at right has a perimeter of 42 cm.
Liula [17]

Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.

I've added the image of the ticket as an attachment.

(a) The missing side length

From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.

So, we have:

Perimeter =2\times 11 + 4 \times L

This gives

2\times11 + 4 \times L = 42

22 + 4 \times L = 42

Collect like terms

4 \times L = 42-22

4 \times L = 20

Divide both sides by 4

L =5cm

(b) The length of the gold lines

There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).

So, the length of the gold line is:

Gold = 4 \times L

Gold = 4 \times 5cm

Gold = 20cm

(c) The number of gold ink bottles.

n = 200 --- number of tickets

The length of all gold line in the 200 tickets is:

Length = 200 \times Gold

Length = 200 \times 20cm

Length = 4000 cm

Length = 4000 \times 0.01m ---- convert to meters

Length = 40m

Given that:

Bottle = 20m --- 1 bottle for 20 m

The number of bottles (n) is:

n = \frac{Length}{Bottles}

n = \frac{40m}{20m}

n = 2

Hence, 2 bottles of gold ink are enough.

Read more about perimeters at:

brainly.com/question/6465134

4 0
3 years ago
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