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hichkok12 [17]
3 years ago
13

What is the missing constant term in the perfect square that starts with x2+10x

Mathematics
2 answers:
Sidana [21]3 years ago
5 0
Find missing constant of quadratic equation:- X^2+10x+?
Solution:- since we know that,
(a+b)^2= a^2+2ab+b^2
Thus, by applying this formula in this equation(x^2+10x+?) we can find the missing constant
Like this:
(x)^2+2(x)(10)+? ——[2 is multiplied and due to the main formula: (a²+2ab+b²)]

(x)²+2(x)(10)(1/2)²+? ——-[we multiply half of 2 with square]

(x)²+2(x)(5)+?

As we know 5 in this equation is like b in main formula (mentioned above) therefore we write the missing constant (b)² as (5)²:-

(x)²+2(x)(5)+(5)²

Hence the missing constant is (5)².
By solving it further:
We use completing square method,

(x)²+2(x)(5)+(5)²=(x+5)²

Which is the required answer (in detail)

I hope you all got it…
Thanks
Art [367]3 years ago
3 0

Answer:

+25

Step-by-step explanation:

(x+5)²=x²+10x+25

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algol13

Answer:

Step-by-step explanation:

(0,0)A baker doesn't use any cups of flour so he can't make any cookies

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8 0
3 years ago
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One number is 6 more than another. Twice the larger number is 5 times the smaller.
tresset_1 [31]

Answer:

The smaller number is 4

Step-by-step explanation:

Larger number = x

Smaller number = y

Write 2 equations

y + 6 = x

2x = 5y

Substitute x in the first equation to the second equation

2(y + 6) = 5y

Multiply 2(y + 6)

2y + 12 = 5y

Subtract 2y from both sides of the equation

12 = 3y

Divide both sides of the equation by 3

y = 4

x = y + 6 = 4 + 6 = 10

The smaller number is 4

Hope this helps :)

3 0
3 years ago
The commission for selling a house is$11825, which is 5.5% of the selling price. What is the selling price of the house?
Rzqust [24]
In this case, the best method starts with finding one percent of the selling price.  To do this, divide the commission ($11825) by 5.5.  This gets you 1%, which is $2150.  Next, multiply this number by 100, turning 1% into 100%.  Your final answer is $215,000.
8 0
4 years ago
Factor the expression. 24x+3
Olin [163]

Answer:

Step-by-step explanation:

24x = 3 * 8 * x

3     = 3 * 1

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24x +3 = 3*8x + 3*1

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6 0
3 years ago
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the odds of rolling a certain number on a single die is 1 chance in 6 rolls. in course of a game, someone rolled 3 fives. accord
Zina [86]

Answer:

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Step-by-step explanation:

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n = 18

Note: the use of the word "odds" is very misleading here.  Odds are the ratio of number of successes to number of failures:

S / F

Probability is the ratio of number of successes to number of all outcomes:

S / (S + F)

So the probability of rolling a 5 is 1/6.  The odds of rolling a 5 is 1/5.

Furthermore, the word "must" is also incorrect.  The player didn't <em>have</em> to roll 18 times.  They could have rolled three times and gotten a 5 each time.  Or they could have rolled 100 times.  18 is simply the most <em>likely </em>number of rolls needed to get three 5's.

6 0
3 years ago
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