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Alisiya [41]
3 years ago
10

Find the number that must be added to each expression to form a perfect square trinomial. Then write the trinomial as a binomial

squared.

Mathematics
2 answers:
maksim [4K]3 years ago
8 0
<h2>Hello!</h2>

The answers are:

a) \frac{49}{4}

b) (x+\frac{7}{2})^{2}

<h2>Why?</h2>

First, we need to know that for this case:

a=1\\2ab=7

So,

b=\frac{7}{2}

b^{2} =(\frac{7}{2})^{2}=\frac{49}{4}

We must add \frac{49}{4}  to the expression in order to form a perfect square trinomial,

x^{2} +7x+\frac{49}{4}

Writing the trinomial as a binomial square:

(x+\frac{7}{2})^{2}=x^{2}+2*\frac{7}{2}*x+(\frac{7}{2})^{2}=x^{2} +7x+\frac{49}{4}

Have a nice day!

kaheart [24]3 years ago
5 0

Answer:

49/4 is the number.

Step-by-step explanation:

We have given the expression:

x²+7x+?

We have to find the number that must be added to form a perfect square trinomial.

(x+7/2)² = x+2(x)(7/2)+(7/2)²

(x+7/2)²

To form the expression perfect square 49/4 is added.

(x+7/2)² =  x+2(x)(7/2)+(7/2)²= x+7x+49/4

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Which of following is equivalent to 1/x/x+3
LenaWriter [7]

The equivalent expression of the expression given as 1/x/x+3 is 1/x(x+3)

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

1/x/x+3

Rewrite as:

1/x/x+3 = (1/x)/x+3

Express the quotient as product

1/x/x+3 = 1/x * 1/x+3

Evaluate the product

1/x/x+3 = 1/x(x+3)

Hence, the equivalent expression of the expression given as 1/x/x+3 is 1/x(x+3)

Read more about equivalent expression at

brainly.com/question/2972832

#SPJ1

7 0
1 year ago
Y=2 when x=8<br> &amp;<br> y=-3 when x=1
Natasha_Volkova [10]
Y=k/x is inverse

y=2
x=8
2=k/8
times 8
16=k
the equation is
y=16/x

second

y=k/x
-3=k/1
-3=k

the equation is y=-3/x


they are
for y=2, x=8 it is y=16/x
and  for y-3, x=1 it is y=-3/x
6 0
3 years ago
HELP ASAP 20 BRAINLY POINT PLUS USER HELPPP ​
Ratling [72]

Answer:

A

Step-by-step explanation:

(m / 3) = (12 / 3) = 4

1/2 x 4 = 2

2 + n = 2 + 3/5 = 2 and 3/5 = 13/5

6 0
2 years ago
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BARSIC [14]
(F) or probably graphing points could also help
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3 years ago
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Can you tell me how to factorise 6b+24bc
Kamila [148]
When we factorise an expression, we are looking for simple factors that multiply to get the original expression. Usually it is very natural to factorise something like a quadratic in x. For example:

x^2 + 3x + 2 = (x+1)(x+2)

But there are other situations where factorisation can be applied. Take this quadratic:

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This second example is closer to the question in hand. Just like x was a common factor to both x^2 and -9x, we are looking for a common factor to both 6b and 24bc. The common factor is 6b.

Hence 6b + 24bc = 6b(1 + 4c).

I hope this helps you :)
3 0
2 years ago
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