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vichka [17]
2 years ago
5

Find the missing terms in the equation so that it is true. b (3x−5)^2=(? + ?? +25)

Mathematics
2 answers:
igor_vitrenko [27]2 years ago
7 0

Answer:

9x^2 and -30x

Step-by-step explanation:

Basically, what we want to do is expand out (3x - 5)^2, which is the same as (3x - 5)(3x - 5).

Use FOIL (first, outer, inner, last):

- the first terms are 3x and 3x, so multiply those together: 3x * 3x = 9x^2

- the outer terms are 3x and -5, so multiply those: 3x * (-5) = -15x

- the inner terms are -5 and 3x, so multiply those: (-5) * 3x = -15x

- the last terms are -5 and -5, so multiply those together: (-5) * (-5) = 25

Add all these together:

9x^2 + (-15x) + (-15x) + 25

9x^2 - 30x + 25

The missing terms are thus 9x^2 and -30x.

vitfil [10]2 years ago
4 0

Answer:

9x², -30x

Step-by-step explanation:

(3x−5)^2=(? + ?? +25)

(3x)² - 2(3x)(5) + (5)²

9x²- 30x + 25

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3 years ago
A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the
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Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of​ metal

y ----> the original width of the piece of​ metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in

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930=(x-10)(y-10)5

simplify

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Remember that

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so

x=y+25 ----> equation B

substitute equation B in equation A

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186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0

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using a graphing tool

The solution is y=16

see the attached figure

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