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andrey2020 [161]
3 years ago
15

Solve the equation by completing the square. If necessary, round to the nearest hundredth.

Mathematics
2 answers:
diamong [38]3 years ago
8 0
Ax^2+bx=c
REMEMBER THIS

ok
first, make sure that a is 1
done

now take 1/2 of b and square it

-18/2=-9, (-9)^2=81
add that to both sides

x²-18x+81=19+81
x²-18x+81=99
factor perfect square
(x-9)²=100
square root both sides
don't forget positive and negative root
x-9=10
x-9=-10
ad 9 to both sides

x=19
x=-1




answer is -1; 19

2nd choice is answer
Kobotan [32]3 years ago
5 0

Answer:

Option B. x = -1, 19

Step-by-step explanation:

The given equation is x² - 18x = 19

We can get the value of x by factorizing the expression or by quadratic formula.

We will try to factorize the equation first. If we find no factors then we will apply quadratic formula to get the value of x.

x² - 18x - 19 = 0

x² - 19x + x - 19 = 0

x(x - 19) + 1(x - 19) = 0

(x - 19)(x + 1) = 0

x = 19, -1 will be the solutions.

So there is no need to apply quadratic formula.

Option B. x = -1, 19 is the answer.

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The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their sum? ​
VLD [36.1K]

Separate the vectors into their <em>x</em>- and <em>y</em>-components. Let <em>u</em> be the vector on the right and <em>v</em> the vector on the left, so that

<em>u</em> = 4 cos(45°) <em>x</em> + 4 sin(45°) <em>y</em>

<em>v</em> = 2 cos(135°) <em>x</em> + 2 sin(135°) <em>y</em>

where <em>x</em> and <em>y</em> denote the unit vectors in the <em>x</em> and <em>y</em> directions.

Then the sum is

<em>u</em> + <em>v</em> = (4 cos(45°) + 2 cos(135°)) <em>x</em> + (4 sin(45°) + 2 sin(135°)) <em>y</em>

and its magnitude is

||<em>u</em> + <em>v</em>|| = √((4 cos(45°) + 2 cos(135°))² + (4 sin(45°) + 2 sin(135°))²)

… = √(16 cos²(45°) + 16 cos(45°) cos(135°) + 4 cos²(135°) + 16 sin²(45°) + 16 sin(45°) sin(135°) + 4 sin²(135°))

… = √(16 (cos²(45°) + sin²(45°)) + 16 (cos(45°) cos(135°) + sin(45°) sin(135°)) + 4 (cos²(135°) + sin²(135°)))

… = √(16 + 16 cos(135° - 45°) + 4)

… = √(20 + 16 cos(90°))

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What the fact family for 4,6,10 I got b 10-6=4 10-4=6 4+6=10 6+4=10 what your answer​
tensa zangetsu [6.8K]

Answer:

B

Step-by-step explanation:

These numbers form an addition and subtraction, fact family.

4, 6, 10

Choose the fact family formed by these numbers.

A.

10 – 6 = 4

10 – 6 = 4

4 + 6 = 10

4 + 6 = 10

B.

10 – 6 = 4

10 – 4 = 6

4 + 6 = 10

6 + 4 = 10

C.

4 + 6 = 10

10 – 6 = 4

D.

6 + 4 = 10

10 – 4 = 6

4 0
2 years ago
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