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Reptile [31]
4 years ago
9

Let m = 6x +5. Which equation is equivalent to (6x + 5)^2 – 10 = -18x – 15 in terms of m?

Mathematics
1 answer:
aev [14]4 years ago
7 0

Answer: m² + 3m - 10 = 0

Step-by-step explanation:

From the expression, considering

6x + 5 = m

The original expression

( 6x + 5 )² - 10 = -18 - 15

Factorize the right hand expression,

-18 - 15 = -3( 6x - 15 )

Since m = 6x + 5 , we now substitute for m in that expression

m² - 10 = -3m

Now re arrange the equation in the form,

ax² - bx + c = 0

Now back to the equation,

m² + 3m - 10 = 0,

So the equivalent equation will be

m² + 3m - 10 = 0

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For some particular website, the password must start with one of the letters W, X, Y, or Z. Then there must be 5 more charaters,
k0ka [10]

241,864,704  many different passwords are possible.

The total characters of the password is six in which it is given that first character should start with W, X, Y or Z. So the first character can be filled in 4 ways.

For next five characters it can be any letter of the alphabet or any numeric digit so it will be 26 + 10 = 36.

So second, third, fourth, fifth and sixth space can be taken by 36 characters.

Therefore the total no. of passwords will be 4 * 36 * 36 * 36 * 36 * 36 that is equal to 241,864,704.

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3 0
1 year ago
Roger completed a probability experiment with a coin. He flipped the coin 32 times, and it landed on tails eight times. He looke
pav-90 [236]

1 to 3

Since you know that he landed on tails 8 out of 32 times, he must have flipped heads for the flips he did not flip tails. So, subtract 32 minus 8, which equals 24, and your answer is 8 to 24. Simplify this like you would with a fraction; the greatest common factor is 8 so divide the "numerator" and the "denominator" by 8. Therefore your final answer is 1 to 3.

8 0
3 years ago
Read 2 more answers
-3x + y = 22<br> -12x – 10y=-10
dimaraw [331]

Answer:

<h3>               x = -5,  y = 7</h3>

Step-by-step explanation:

-3x + y = 22     ⇒  y = 3x + 22

-12x - 10y = -10  and  y = 3x + 22

-12x - 10(3x + 22) = -10

-12x - 30x - 220 = -10

               +220       +220

 - 42x  = 210  

 ÷(-42)     ÷(-42)

    x = -5

y = 3(-5) + 22 = -15 + 22 = 7

8 0
3 years ago
Question 19 of 40
Anna71 [15]

The correct definition of an angle is D: A shape formed by two intersecting lines from a common point.

<h3>What is a line segment?</h3>

A line segment is extended infinitely in both directions whereas a 'ray' is a line segment that has one endpoint and extends infinitely in the other direction.

Now, an 'angle' is formed by two rays having a common end-point.

As the angle has a common endpoint,

Therefore it is not possible to form an angle by intersecting two rays having different endpoints.

Hence, option D is correct.

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3 0
2 years ago
What foreign policy goal does the United States advance by participating in the United Nations
VMariaS [17]

Answer:

military defense

Step-by-step explanation:

Promoting Military defense of itself and its allies is the foreign policy goal of United States to participate in the North Atlantic Treaty organisation.

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3 years ago
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