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iris [78.8K]
3 years ago
14

Solve each equation by completing the square r² = –12r - 35​

Mathematics
1 answer:
Fittoniya [83]3 years ago
7 0

Answer:

r = - 7, r = - 5

Step-by-step explanation:

Given

r² = - 12r - 35 ( add 12r to both sides )

r² + 12r = - 35

To complete the square

add ( half the coefficient of the r- term )² to both sides

r² + 2(6)r + 36 = - 35 + 36

(r + 6)² = 1 ← take the square root of both sides )

r + 6 = ± 1 ( subtract 6 from both sides )

r = - 6 ± 1, thus

r = - 6 - 1 = - 7 or r = - 6 + 1 = - 5

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I need help with this​
Sergio [31]

Answer:

x w1ll b3  with the 4x+19

Step-by-step explanation:

4 0
3 years ago
10 points.
Andrews [41]
A, 2^12.

3x - y = 12 can also be written as 3x - 12 = y

The fraction is 8^x / 2^y,
Substitute y = 3x - 12 into fraction,
8^x / 2^[3x - 12]
= 8^x / [(2^3)^x × 2^(-12)]
= 8^x / [(2 × 2 × 2)^x × 2^(-12)]
= 8^x / [8^x × 2^(-12)]
{8^x can be factorised out of numerator and denominator of fraction}
= 1 / 2^(-12)
{When the denominator becomes numerator, the power sign is switched from - to +}
= 2^(12)

Hope this helps! :)
8 0
3 years ago
Pls answer all 5 and 100 points are being offered for these answers. Pls include a very thought out explanation. tysm!
SVETLANKA909090 [29]
What’s the question
3 0
3 years ago
Large bottle of juice contains 500 ml of juice. Medium bottle contains 70% as much juice as large bottle. How many milliliters
melamori03 [73]

Answer:

350 milliliters

Step-by-step explanation:

70% of 500 is 350

6 0
3 years ago
Which of the inequalities represents the statement, "two times a number x, less 15, is greater than or equal to 4 times the numb
Damm [24]
The choices are:

A) 
2x - 15 ≤ 4y 


B) 
2x - 15 ≥ 4y 


C) 
15 - 2x ≤ 4y 


D) 
<span>15 - 2x ≥ 4y
</span>
Therefore, the best and most correct answer among the choices provided by the question is the fourth choice "<span>15 - 2x ≥ 4y". </span>I hope my answer has come to your help. God bless and have a nice day ahead!
5 0
4 years ago
Read 2 more answers
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