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Veronika [31]
3 years ago
11

What is the nature of the roots for y=x2 - 4x + 4?

Mathematics
1 answer:
Archy [21]3 years ago
3 0

Answer:

x = 2

Step-by-step explanation by completing the square:

Solve for x:

x^2 - 4 x + 4 = 0

Write the left hand side as a square:

(x - 2)^2 = 0

Take the square root of both sides:

x - 2 = 0

Add 2 to both sides:

Answer:  x = 2

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The distance from the Earth to the Moon is 384 000 km. Work out the time it would take a car travelling at 100 km/h to travel 38
suter [353]

Answer:

3840

Step-by-step explanation:

thbyrtjnbyj

8 0
3 years ago
Find an antiderivative F(x) with F′(x) = f(x) = 6 + 24x^3 + 18x^5 and F(1)=0.
7nadin3 [17]

Answer:

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

Step-by-step explanation:

Antiderivative F(x)

This is the integral of F^{\prime}(x)

So

F′(x) = f(x) = 6 + 24x^3 + 18x^5

Then:

F(x) = \int (6 + 24x^3 + 18x^5) dx

F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K

F(x) = 6x + 6x^4 + 3x^6 + K

F(1)=0

F(X) = 0 when x = 1. We use this to find K.

F(x) = 6x + 6x^4 + 3x^6 + K

0 = 6 + 6 + 3 + K

K = -15

Thus

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

7 0
3 years ago
Solve. x + 9 = –15 x = [1] <br><br> help please
max2010maxim [7]

Answer:

1/2

Step-by-step explanation:

x + 9 = -15x = [1]

x - x + 9 = -15x -x = 1

9 - 1 = -16x

8 = 16x

8/16 = 16/16x

1/2 = x

Hope this helps

7 0
3 years ago
Read 2 more answers
I don’t know if it’s A or B
lara31 [8.8K]

Answer:

A

Step-by-step explanation:

this is true due to the ratio of a 30-60-90 triangle, which is 1-2-sqrt(3). The 12 corresponds to the sqrt(3), which means that the 1 corresponds to 4sqrt3 and the 2 to 8sqrt3.

:)

7 0
3 years ago
Read 2 more answers
Everything in a store is discounted by 25%. What is the sale price of a clock with a regular price of $24.60?​
Lelechka [254]

Answer:

$24.35

Step-by-step explanation:

sale price⇒ total price-discount price

s.p=$24.60-25/100                              ∴25%⇒25/100

s.p⇒$2460/100-25/100                           ∴24.60⇒2460/100

s.p⇒$24.35

           ⇒$24.35

3 0
3 years ago
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