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maksim [4K]
3 years ago
7

Given the following perfect square trinomial, fill in the missing term. (Do not type the variable in the blank.) 4x2 + ___x + 49

Numerical Answers Expected!
Mathematics
2 answers:
Alex3 years ago
7 0

Answer:

4x^2+28x+49

Step-by-step explanation:

We have been given a perfect square trinomial 4x^2+...x+49. We are asked to fill in the missing blank.

We know that a perfect square trinomial is in form a^2+2ab+b^2.

We can rewrite terms of our given expression as:

2^2x^2+...x+7^2

(2x)^2+...x+7^2

We can see that the value of a is 2x and value of b is 7, so 2ab will be:

2ab=2(2x)(7)=28x

Since we are asked to give numerical answer, so the missing value is 28 for our given perfect square trinomial.

m_a_m_a [10]3 years ago
3 0
4x^2+28x+49

4x^2+14x+14x+49

2x(2x)+2x(7)+7(2x)+7(7)

2x(2x+7)+7(2x+7)

(2x+7)(2x+7)

(2x+7)^2

The missing term is 28.
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At the bank of a river, by measurement, a = 9 ft., b = 15 ft., c = 12 ft., and d = 7 ft.How long is x?
Orlov [11]

Answer: x is 20

Step-by-step explanation:

This is ratio

a : c = b : x and d : unknown

a : c = 9 : 12 = 3 : 4 which is 9/12

b : x = 15 : x which is 15 / x

So the proportion will be :

3/4 = 15/x

So Cross multiplying

3x = 90

Divide both side by 3

x = 90/3

x = 20

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3 years ago
10 2/6 - 7 5/6 i know its prob easy but i need help
miv72 [106K]

Answer: 2 1/3

Explanation:

10 2/6 - 7 5/6

You can make both a fraction by multiplying the denominator by the whole number, and then adding the numerator to that number, and keeping the denominator the same. So, 10*6 = 60 and 60 + 2 = 62 and you keep the denominator as 6, which would make 62/6

7*6 = 42 and 42 + 5 = 47 so 7 5/6 becomes 47/6

10 2/6 is equivalent to 62/6

7 5/6 is equivalent to 47/6

This just makes it easier to look at.

Now you just work through the equation.

62/6 - 47/6 = 15/6

15/6 = 2 3/6 = 2 1/3

3 0
3 years ago
a lemon pie was cut into 6 equal pieces. being on a diet, Matilda ate only half a piece. what fraction of the whole pie did she
WINSTONCH [101]
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5 0
3 years ago
I need help with this please!
Korolek [52]

Answer:3/8

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the missing value of 5x-2y=30 (8,)
AnnZ [28]

Answer:

In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).

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3 years ago
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