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ddd [48]
3 years ago
11

What value is added to both sides of the equation x2 - 8x = -10 in order to solve by completing the square?

Mathematics
1 answer:
IgorLugansk [536]3 years ago
5 0
X² - 8x = -10

to have a complete square, we must have this format:

a² + 2ab + b²

a² = x²
2ab = -8x ⇒ 2(x)(-4)
b² = -4² = 16

x² - 8x + 16 = -10 + 16
x² - 8x + 16 = +6
(x-4)² - 6 = 0

Both sides must have an additional value of 16.

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At a shelter, 15% of the dogs are puppies. there are 60 dogs at the shelter. How many are puppies?
frutty [35]
So for this you need to find 15% of 60. There are a few ways to do this but I prefer to do it like this.

First, find 10% of 60. This can be found by dividing 60 by 10, because 100%/10% is 10.

This gives 10%=6

5% is half of 10%, so divide your answer for 10% (6), by 2.

This gives 5%=3

We needed 15%, so we add our 10% and 5% together, to get 9.

15% of 60 is 9, meaning there are 9 puppies.

Hope this helps!
8 0
3 years ago
Read 2 more answers
Simplify: m^2n^3 aanm^2a^2n^4
dolphi86 [110]

9514 1404 393

Answer:

  a^4·m^4·n^8

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

__

m^2n^3 aanm^2a^2n^4

= a^(1+1+2)·m^(2+2)·n^(3+1+4)

= a^4·m^4·n^8

3 0
3 years ago
Work out<br> a) 5 3/4- 2 1/4
xxTIMURxx [149]

Answer:

The answer is 3 1/2.

Step-by-step explanation:

-There are 2 simple ways to do this.

-The first is just subtracting 3/4 and 1/4 which equals 2/4 or 1/2.

-The second way is to turn it into an improper fraction.

-(5*4)+3=23 and (2*4)+1=9.

-23/4-9/4=14/4

-14/4=3 1/2

7 0
2 years ago
Read 2 more answers
What is the difference if you deduct 50.78 to 99.75
laila [671]

Answer: 48.97

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
(02.03)
RoseWind [281]

Answer:

It's the one under the one you have selected.

Step-by-step explanation:

7:2

14:4

28:8

56:16

Divide the first number by 7 then multiply it by 2.

Example: 56/7=8, 8*2=16 so it's correct.

4 0
3 years ago
Read 2 more answers
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