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Allushta [10]
3 years ago
15

Multiple the binomials (x+3)^2

Mathematics
1 answer:
maxonik [38]3 years ago
8 0

Answer:

=x^2+6x+9

Step-by-step explanation:

\left(x+3\right)^2\\\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=x,\:\:b=3\\=x^2+2x\cdot \:3+3^2\\\mathrm{Simplify}\:x^2+2x\cdot \:3+3^2:\quad x^2+6x+9\\x^2+2x\cdot \:3+3^2\\\mathrm{Multiply\:the\:num\\bers:}\:2\cdot \:3=6\\=x^2+6x+3^2\\3^2=9\\=x^2+6x+9

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Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – 4x = 5
saw5 [17]

The solution to x^2 - 4x = 5 is x = -1 or 5

<h3>How to solve the equation?</h3>

The equation is given as:

x^2 - 4x = 5

Take the coefficient of x

k = -4

Divide by 2

k/2 = -2

Square both sides

(k/2)^2 = 4

Add this value to the sides of the equation

x^2 - 4x + 4= 5 + 4

Express as a difference of two squares

(x - 2)^2 = 9

Take the square root of both sides

x - 2 = ±3

Add 2 to both sides

x = 2 ± 3

Evaluate

x = -1 or 5

Hence, the solution to x^2 - 4x = 5 is x = -1 or 5

Read more about quadratic equations at:

brainly.com/question/10449635

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4 0
2 years ago
6×100+5×1+3×(1/100)<br>what is standard form?
natulia [17]
Oh this is a long one

six times one-hundred plus five plus three times...

someone finish that for me :P
3 0
4 years ago
Read 2 more answers
John and Gary share a workload. At a certain point, John worked 2 more hours than Gary. The next day, John has worked 4 of Gary’
il63 [147K]
If these both men were working at normal hours, and then, (John) worked "2 more hours" than Gary has, this would just mean that he has worked more.

x+2= x+2.

Now if John has worked the double amount, 4 more times than Gary's usual hours, this would mean something quite different.

Then the expression would look like, (x+2×4x)

We don't know how many hours are the "usual hours", this is what "x" would then represent.

John has then worked (4×2+x) more hours than Gary.

Your answer: (4×2+x)
4 0
3 years ago
What is the sum of 5/30+4/6
Vladimir [108]
The sum of 5/30 + 4/6 would equal 25/30 because you would want to find a common denominator, which would be 30, but then you would want to simplify 25/30 because both the numerator and the denominator are both divisible by 5. so the final answer would be 5/6. Hope this helped! -Julia 
5 0
3 years ago
A certain rock has a density of 12.5 g/mL. What volume will 4.0g of this rock occupy
Anon25 [30]

Answer:

0.32 mL

Step-by-step explanation:

d = m/v

v = m/d

v = 4.0 g ÷ 12.5 g/mL

g ÷ g cancels out the unit g

v = 0.32 mL

4 0
4 years ago
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