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Alex777 [14]
3 years ago
5

2. What is the solution of the equation x2 + 6x + 6 = 0?

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0

Answer:

(x+3)^2=3

Step-by-step explanation:

First, you'll need to set this up.

(x^2+6x            )+6         =0

We are going to solve the blank spaces now. The number next to the x is a 6. We need to find half of that which is 3. Next we need to square it which is 9. Here is how it looks like now.

(x^2+6x+9 )+6         =0

Next we need to find the next blank space, that will just be the same number of the first blank, just negative which would be -9.

(x^2+6x+9 )+6-9=0

Now we need to simplify! First we need to find the square of (x^2+6x+9). If you don't know how to do this, just say so in the comments! Anyways the square of this is (x+3)(x+3) or (x+3)^2.

So the equation now is (x+3)^2+6-9=0

Now, you need to do +6-9 which is -3.

The equation now is (x+3)^2-3=0

Now we need to put the -3 to the other side so (x+3)^2 can be isolated. So...

(x+3)^2-3=0

          +3 +3

----------------------

(x+3)^2=3

THAT IS THE FINAL ANSWER! :) Hopefully this helped and making this answer "The Brainliest" would really help! Thank you and have a great day!

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The container that holds the water for the football team is 4/9 full. After pouring in 4
Natasha2012 [34]

Answer: 18 gallons.

Step-by-step explanation:

Let's call the total gallons that the container can hold <em>x.</em>

<em> </em>Then, based on the information given in the problem, you can write the following expression:

\frac{4}{9}x+4=\frac{2}{3}x

Now, you must solve for x, as you can see below. Therefore, you obtain the following result:

\frac{4}{9}x+4=\frac{2}{3}x\\\\4=\frac{2}{3}x-\frac{4}{9}x\\\\4=\frac{2}{9}x\\\\4*9=2x\\\\36=2x\\\\x=18\ gallons

5 0
3 years ago
2) If one variable increases in value and the other variable decreases in value, the variables have a(n) ________ relationship.
max2010maxim [7]

Answer:

inverse

Step-by-step explanation:

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3 years ago
(a) For the sequence 11,13,15,17,............find the 13th term<br>​
laila [671]

Answer:

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Step-by-step explanation:

the pattern is +2 so the answer is 35

3 0
4 years ago
Read 2 more answers
What is an equation in point-slope form for the line perpendicular to y = 7x + 14 that contains (3, –7)?
umka21 [38]

The equation of the perpendicular line is y + 7 = -1/7(x - 3)

<h3>How to determine the line equation?</h3>

The equation is given as

y = 7x + 14

Also, from the question

The point is given as

Point = (3, -7)

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 7

This means that the slope of y = 7x + 14  is 7

So, we have

m = 7

The slopes of perpendicular lines are opposite reciprocals

This means that the slope of the other line is -1/7

The equation of the perpendicular lines is then calculated as

y = m(x - x₁) +y₁

Where

m = -1/7

(x₁, y₁) = (3, -7)

So, we have

y = -1/7(x - 3) - 7

Evaluate

y = -1/7(x - 3) - 7

Add 7 to both sides

y + 7 = -1/7(x - 3)

Hence, the perpendicular line has an equation of y + 7 = -1/7(x - 3)

Read more about linear equations at

brainly.com/question/4074386

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8 0
1 year ago
The cost to mail a letter is a base charge of $0.42 plus $0.17 for each ounce. Write an equation that could be used to find how
morpeh [17]
Equation: 0.93 = 0.42 + 17x
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3 years ago
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