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Ksivusya [100]
4 years ago
7

Devon decided to rewrite the quadratic equation so that it could be simplified into a square in order to find the zeros.

Mathematics
2 answers:
Scilla [17]4 years ago
6 0

Answer:

Option B

Step-by-step explanation:

Given: x² + 10x + 13

To make a complete square, we will use (b/2)² to add terms to complete the square where b is the coefficient of x

b = 10 , (b/2)² = 5² = 25

So, add 25 and subtract 25

x² + 10x + 13

= x² + 10x + 13 + 25 - 25

= (x² + 10x + 25) + 13 -25

= (x+5)² - 12

By comparing the options with the previous steps

So, the answer is <u>option B</u>

erik [133]4 years ago
4 0

Answer:

b

Step-by-step explanation:

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3 years ago
HELP ASAP!!!!!!!!PLEASE<br><br> Solve for x. Please explain. Thank you
Stella [2.4K]

The values are x=8 and y=10

Explanation:

From the figure, we can see that the two quadrilaterals are similar.

Thus, by the property of quadrilateral, for similar quadrilaterals, their corresponding angles and sides are congruent. Thus, we have,

∠D = ∠S, ∠E = ∠P, ∠G = ∠R and ∠F = ∠Q

Also, GF = QR and DE = PS

Where QR = 2x-4 and ∠D = 102°, ∠G = 84° and ∠F = 68°, ∠Q = (6y+x)°

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∠F = ∠Q

68=6y+x\\68=6y+8\\60=6y\\10=y

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8 0
3 years ago
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Answer:

Step-by-step explanation:

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6 0
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Sara Blake's grandmother gave her $3000.00 to save for college. She put it in a savings account that earns 6% interest per year.
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• P is the principal amount, $3000.00.

• r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.

• t is the time involved, 8 years time periods.

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To find the simple interest, we multiply 3000 × 0.06 × 8 to get that:

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3 years ago
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Kruka [31]
3x + 5 + 4x =180
7x + 5 = 180
7x = 175
x = 25


3(25) + 5
75 + 5
80
KL = 80
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3 years ago
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