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mel-nik [20]
3 years ago
9

13.05 Completing the Square:

Mathematics
1 answer:
Afina-wow [57]3 years ago
6 0
The way these equations are arranged helps. 
First only deal with the left handside. 

<span>X^2+20x= (x+a)^2 -b where we are looking for a,b
You need to know the general formula for (x+a)^2=x^2+2ax+a^2
20x = 2*10x so a will be 10
(x+10)^2= x^2+20x+100

Now lets look at the original question: 
</span><span>X^2+20x=10
we know now that </span>(x+10)^2= x^2+20x+100
Thus X^2+20x=(x+10)^2 -100
So X^2+20x=10 becomes

(x+10)^2 -100 =10
(x+10)^2=110
For the other question you need to follow the same logic.
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Right now Seth's age is 4/5 the age of his brother Eric. Twenty-one years ago, Eric was twice as old as Seth. What are their age
lana [24]

Answer:

          Present Time                                                                

Let X= Eric's age                                                            (4/5)X= Seth's age

Question:  What are their ages now?________________________________________________________________________

                                             Past (21 years ago)

X-21 =Eric's age                                                                (4/5)X-21=Seth's age

2*[4/5(X-21]=Eric's age

Therefore, X-21= 2*[4/5(X)-21]=Eric's age           Substitution

_______________________________________________________________________

X-21= 8/5 X  - 42         Solve for "X" by adding 42 to both sides.

X-21+42=(8/5) X

X+21 = (8/5)X              Subtract "X" from both sides.

21=(3/5)X                    Multiply both sides of equation by reciprocal of (3/5), which is 5/3

21*(5/3)= X                  Finish the problem to find value of "X," which is Eric's age.  

                                   Then find  4/5 (X)= Seth's age  

8 0
2 years ago
Read 2 more answers
Yup there's more pls help
Artemon [7]
Top half:
D (x-2, y+3) E (x-3, y(+\-) 0) F (x+1, y-2)
P (x+1, y+2) Q (x+3, y+4) R (x+5, y+2)
7 0
3 years ago
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5 0
3 years ago
Robin invests $3,210 in an account that is compounded annually and pays
igor_vitrenko [27]

Answer:

the factor is an increasing value of 17/332 or the power of pointed answers of interest of 3.4% which makes it aroujd 2 but doesnt matter because its the factor and not issued investment

Step-by-step explanation:

8 0
3 years ago
The marks scored by a group of students in English examination are as follows: 30,32, 33, 31, 32, 33, 34, 35, 33, 34 . Find the
Alecsey [184]

Answer:

Answer is 32

Step-by-step explanation:

Mode = no of stu +1/2

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Mode=32+32/2

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Mode=32

Hope it helps

Peace

Please mark me as brainliest

8 0
3 years ago
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