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Keith_Richards [23]
3 years ago
11

Which are steps that could be used to solve 0 = 9(x2 + 6x) – 18 by completing the square? Check all that apply. 18 + 81 = 9(x2 +

6x + 9) 18 + 9 = 9(x2 + 6x + 9) 18 + 36 = 9(x2 + 6x + 36) 11 = (x + 3)2 StartRoot 342 EndRoot = (x + 6)2 StartRoot 99 EndRoot = (x + 3)2
Mathematics
2 answers:
LuckyWell [14K]3 years ago
8 0

Answer:

18 + 81 = 9(x2 + 6x + 9) and 11 = (x + 3)2

Step-by-step explanation:

EDG

tensa zangetsu [6.8K]3 years ago
7 0

Answer:

18 + 81 = 9(x² + 6x + 9)

11 = (x + 3)²

When we are completing the square, we are going to move the value of c across the equals.  We will do that by adding, and end up with

18=9(x²+6x)

We take the value of b (the coefficient of x), divide it by 2 and square it:

(6/2)²=3²=9

This is the value that completes the square.  However, since the entire square is multiplied by 9, this value must be multiplied by 9 before we can add it across the equals:

18+9(9) = 9(x²+6x+9)

18+81=9(x²+6x+9)

99=9(x²+6x+9)

Dividing both sides by 9, we have:

11=x²+6x+9

11=(x+3)²

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What is the square root of 12 simplified? Is it 2 times the square root of 3?
blagie [28]

Answer: Yes, it is 2\sqrt{3}

Step-by-step explanation:

To simplify square roots, you can factor the number inside the square root into its lowest common denominators.

\sqrt{12}=\sqrt{4*3}  =\sqrt{2*2*3}

Any value that appears twice can be "taken out" of the square root and moved to the left of it:

2\sqrt{3},

What you are doing is essentially taking the square root of 4 and the square root of 3. Because the square root of 4 can be simplified, and the square root of 3 cannot, this is the most simplified version of the expression we can reach.

4 0
3 years ago
Read 2 more answers
A group of hikers walks 2 miles east and then 1 mile north. After taking a break, they then hike 4 miles east to their final des
kodGreya [7K]

Answer:

Intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

Step-by-step explanation:

Required vector is consists of the two components

vx= 2+4=6 units  and vy= 1 unit and vx ⊥ vy

We will use Pythagorian theorem to find intensity of the vector v

v∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 units

The angle ∡α between vector and east direction we wil find with tanα

tanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

Good luck!!!

7 0
3 years ago
Help please and thank you
lara [203]
Cannot be determined.
Area or perimeter should be provided to calculate the lenght but its not.
8 0
3 years ago
The area of a circle is 153.86 square meters. What is the diameter of the circle? Use 3.14 for π.
iren2701 [21]

Answer:

14m

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

153.86 = 3.14 r^2

Divide each side by  3.14

153.86 /3.14 = r^2

49 = r^2

Take the square root of each side

sqrt(49) = sqrt(r^2)

7 = r

We want the diameter which is twice the radius

d = 2r

d =2*7

d =14

5 0
3 years ago
2/3*x+3/4=8 what is x
matrenka [14]

Answer: x=10 7/8

Step-by-step explanation:

Subtract 3/4 from both sides. Multiply both sides by 3. Divide both sides by 2 (basically just isolate x on one side of the equal sign).

7 0
3 years ago
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