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Sholpan [36]
3 years ago
10

What number should be added to both sides of the equation to complete the square? x2 + 12x = 11

Mathematics
2 answers:
makkiz [27]3 years ago
6 0

given:

x² + 12x = 11

perfect square:

a² + 2ab + b²

a² = x² ⇒ x * x

2ab = 12x ⇒ 2(6)x

b² = 6² ⇒ 36

x² + 12x + 36 = 11 + 36

(x+6)(x+6) = 47

Both sides must be added with 36.

zheka24 [161]3 years ago
5 0

Answer:

36

Step-by-step explanation:

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Find x. A. 11√6/2 B. 22 C. 33 D. 11√3/2
Phoenix [80]

Answer:

B

Step-by-step explanation:

using the tangent ratio on the triangle on the right and the exact value

tan60° = \sqrt{3} , then letting the altitude be h

tan60° = \frac{opposite}{adjacent} = \frac{11\sqrt{6} }{h}  = \sqrt{3} ( multiply both sides by h )

11\sqrt{6} = h × \sqrt{3} ( divide both sides by \sqrt{3} )

11\sqrt{2} = h

using the sine ratio in the triangle on the left and the exact value

sin45° = \frac{\sqrt{2} }{2} , then

sin45° = \frac{opposite}{hypotenuse} = \frac{h}{x} = \frac{11\sqrt{2} }{x} = \frac{\sqrt{2} }{2} ( cross- multiply )

\sqrt{2} × x = 22\sqrt{2} ( divide both sides by \sqrt{2} )

x = 22

6 0
1 year ago
What is the completely factored form of x^4+8x^2-9
miss Akunina [59]

Answer:

I think it is (x^2+9) x (x-1) x (x+1)

Step-by-step explanation:

(not sure if right but had a go)

7 0
3 years ago
Doreen is flipping two fair coins. What is the probability that both coins land on heads?
andrezito [222]

Answer:

There are four different possible outcomes: both coins are heads, the red coin is heads and the blue coin is tails, the red coin is tails and the blue coin is heads, or both coins are tails. Each outcome has equal probability. So the probability of both being heads is 1/4.

Step-by-step explanation:


6 0
3 years ago
Solving the equation
liubo4ka [24]

Answer:

y = 5

Step-by-step explanation:

Step 1: Write equation

-(4y + 2) - (-3y - 6) = -1

Step 2: Solve for <em>y</em>

  1. Distribute: -4y - 2 + 3y + 6 = -1
  2. Combine like terms: -y + 4 = -1
  3. Subtract 4 on both sides: -y = -5
  4. Divide both sides by -1: y = 5

Step 3: Check

<em>Plug in y to verify it's a solution.</em>

-(4(5) + 2) - (-3(5) - 6) = -1

-(20 + 2) - (-15 - 6) = -1

-22 - (-21) = -1

-22 + 21 = -1

-1 = -1

7 0
3 years ago
A flower bed has a shape of a rectangle 9yards long and 3 yarss wide what is the area in square feet
Maslowich
It should be 81 square feet.

3 yards x 9 yards = 27 yards squares.

It asks for your answer in square feet, so you multiply by 3. This is because there are 3 feet in ever yard.

27 x 3 feet = 81 square feet.
8 0
3 years ago
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