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Blababa [14]
2 years ago
12

Hello may i please have help with this question

Mathematics
1 answer:
Pani-rosa [81]2 years ago
5 0

Answer:

x=√139-3, x=-√139-3

Step-by-step explanation:

to complete the square, you first move the constant to the other side of the equation-its already done for you!

now, you find the perfect square trinomial. You divide the b value by 2, then square it: 6/2=3, 3^2=9.

What you do to one side has to be done with the other.

x^2+6x+9=130+9

now you can factor the square:

(x+3)^2=139

squareroot both sides:

x+3=√139

x+3=-√139

now subtract both sides by 3

x=√139-3

x=-√139-3

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The amount invested in the account that yields 7% interest is $4000.

The amount invested in the account that yields 12% interest is $1000.

<h3>What are the linear equations that represent the question?</h3>

a + b = 5000 equation 1

0.07a + 0.12b = 400 equation 2

Where:

a = amount invested in the account that yields 7% interest.

b =  amount invested in the account that yields 12% interest.

<h3>How much is invested at each rate?</h3>

Multiply equation 1 by 0.07

0.07a + 0.07b = 350 equation 3

Subtract equation 3 from equation 2

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3 0
2 years ago
In ΔOPQ, o = 9.2 cm, p = 2.4 cm and ∠Q=37°. Find the length of q, to the nearest 10th of a centimeter.
storchak [24]

The length of q, to the nearest 10th of a centimeter is 7.6 cm.

Given in question,

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Putting the values in equation,

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q = 7.6 cm (to nearest 10th)

Hence, length of q is 7.6 cm.

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Answer:

see below

Step-by-step explanation:

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