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-BARSIC- [3]
3 years ago
7

Consider solving 푥2+12푥+5=0by completing the square. What number should be added to both sides of the equation? 푥2+12푥+_____=−5+

_____a. -36b. 36c. 16d. -16
Mathematics
1 answer:
ANTONII [103]3 years ago
3 0

Answer:

B. 36

Step-by-step explanation:

The equation in question is not well written. Let the equation be;

x²+12x+5 = 0

In order to know what number should be added to both sides of the equation, we will take the square of the half of coefficient of x as shown;

Coefficient of x = 12

Half of 12 = 1/2(12) = 6

Square of 6 = 6² = 36

Hence the required number to add to both sides of the equation by completing the square method is 36

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A pair of shoes is on sale for 20% off the regular price of $72.50. How much will the customer pay with the 20% markdown?
topjm [15]

Answer:

72.50/100 X 80 = 58

total cost with mark down $58

6 0
3 years ago
Determine whether a triangle with given side lengths will be a right triangle?
mr Goodwill [35]

Answer:

Step-by-step explanation:

Apply the Pythagorean Theorrem.  Find the sum of the squares of the two shortest sides and determine whether this sum equals the square of the longest side:

#19:  5^2 + 12^2 = ? = 13^2

 25  +  144  = ? = 169    This is true, so you do have a right triange in #19.

#21:  2^2 + 4^2 = ? = 7^2, or 4 + 16 = ? = 49     This is false.  Not a right

                                                                            triangle.

Apply this same approach (Pythagorean Theorem) to the remaining problems.

4 0
3 years ago
Expand and combine like terms. (4b²+3)(4b²-3)​
Ad libitum [116K]

Answer:

16b4=9

Step-by-step explanation:

(4b²+3) (4b²-3)

16b4-12b²+12b²-9

16b(raised to power 4)-9

16b4-9

collect like terms

16b4=9

8 0
3 years ago
Two years ago, Rita was three times older than Cheryl. In 3 years, Rita will be twice older than Cheryl. How old are the girls n
Brrunno [24]

Answer:

Cheryl's age = x = 7 years

Rita's age = y = 17 years

Step-by-step explanation:

Let

Cheryl's age = x

Rita's age = y

Two years ago, Rita was three times older than Cheryl

(y - 2) = 3(x - 2)

y - 2 = 3x - 6

y = 3x - 6 + 2

= 3x - 4

y = 3x - 4

In 3 years, Rita will be twice older than Cheryl

(y + 3) = 2(x + 3)

y + 3 = 2x + 6

y = 2x + 6 - 3

= 2x + 3

y = 2x + 3

Equate both equations

3x - 4 = 2x + 3

Collect like terms

3x - 2x = 3 + 4

x = 7 years

Substitute x = 7 into

y = 2x + 3

= 2(7) + 3

= 14 + 3

= 17

y = 17 years

Cheryl's age = x = 7 years

Rita's age = y = 17 years

5 0
3 years ago
Is the quotient of two integers always a rational number? Explain.
Troyanec [42]

Answer:

It is true that the quotient of two integers is always a rational number. This is because a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

4 0
3 years ago
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