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3 years ago

Complete the square to write 6x2 + 12x + 9 = 0 in the form of a(x − b)2 = c; where a, b and c are integers.

Mathematics

1 answer:

MrMuchimi3 years ago

4 0

Note that the formula is: ax² + b(x) + c =0

You are trying to write it in the form: a(x - b)² = c

Note that:

a = 6

b = 12

c = 9

Plug into corresponding places: 6(x - 12)² = 9

Because you are just telling us to write it in the form a(x − b)² = c, 6(x - 12)² = 9

is your answer

hope this helps

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What is the nth term of the geometric sequence -2,10,-50

poizon [28]

Answer:

$T_n=-1(-5)^n^-^1$

Step-by-step explanation:

We are given;

A geometric sequence;

-2,10,-50

Required to determine the nth term

The nth term in a geometric sequence is given by the formula;

$T_n=a_1r^n^-^1$

where $a_1$ is the first term and r is the common ratio;

In this case;

$a_1=-2$

r = 10 ÷ -2

= -5

Therefore;

To get the nth term in the given geometric sequence we use;

$T_n=-1(-5)^n^-^1$

Thus, the nth term is $T_n=-1(-5)^n^-^1$

3 0

2 years ago

A 9x - 40 B 3x + 20 x = [?]

Mrrafil [7]

Answer:

x = 10

Step-by-step explanation:

9x - 40 = 3x + 20

9x - 3x - 40 = 3x - 3x + 20

6x - 40 = 20

6x - 40 + 40 = 20 + 40

6x = 60

6x / 6 = 60 / 6

x = 10

Now plug the x value in the equation to make the statement true that A is parallel to B.

9x - 40

9(10) - 40

90 - 40

3x + 20

3(10) + 20

30 + 20

Therefore, x = 10 making the statement true that A is parallel to B. Hope this helps and stay safe, happy, and healthy, thank you :) !!

7 0

2 years ago

Read 2 more answers

Abc + def how many terms and factors

Kipish [7]

This expression has three terms: the variables x, y, and z. We say that the first term is x, that the second term is y, and so on. This expression also has three terms: the number 7, the function f(x), and the variable a.

3 0

2 years ago

CAN ANYONE HELP ME ANSWER THIS

azamat

Answer:

9/100

Step-by-step explanation:

There are 10 marbles in the bag

There are 3 pink marbles.

P (1st marble pink) = pink marbles/ total marbles

= 3/10

We put the marble back.

There are 10 marbles in the bag

There are 3 pink marbles.

P (2nd marble pink) = pink marbles/ total marbles

= 3/10

Multiply the probabilities together

P (pink, then pink) = 3/10 * 3/10 = 9/100

7 0

2 years ago

Mario walked at 3.9 miles per hour for 0.72 hours how far did she walk

nasty-shy [4]

The speed at which Mario can walk is given in the question and it is 3.9 miles/hour. Also we get to know from the question that Mario walked for 0.72 hours. The question requires the answer to the distance for which Mario walked.
Now
Mario in 1 hour can cover a distance of 3.9 miles
The n
The distance covered by Mario in 0.72 hours = (3.9 * 0.72) miles
= 2.808 miles
Then the distance covered by mario in o.72 hours is 2.808 miles.

7 0

2 years ago