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solniwko [45]
3 years ago
5

PLEASE HELP Solve. x^2+9x+2=0

Mathematics
1 answer:
Nataliya [291]3 years ago
8 0

Answer:

x = (1/2) (-9 ± √73)

Step-by-step explanation:

Using completing the square method

x²+9x+2=0

x²+9x = -2   (complete the square by adding (9/2)² to both sides)

x²+9x + (9/2)² = -2 + (9/2)²

( x + (9/2) )² = -2+ (9/2)²

( x + (9/2) )² = -2+ (81/4)

( x + (9/2) )² = 73/4

x + (9/2)  = ± √(73/4)

x + (9/2)  = ± √(73) / 2

x = -(9/2) ± √(73) / 2  (factorize out (1/2) )

x = (1/2) (-9 ± √73)

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GIVING BRAINLIEST! The triangles below are similar. How tall is the tree? Please show process.
EleoNora [17]

Answer:

Height of tree= 20

Please give me brainliest if you can

Step-by-step explanation:

x= height of tree

2/3= x/30

3x= 2(30)

3x= 60

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x= 20

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3 years ago
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Think of your favorite spot to get food from. You are going there to get your first meal after quarantine and the meal cost $35.
sveta [45]

Answer:

You will be paying $41.30 in total.

Step-by-step explanation:

The cost of the meal is $35 and you want to leave 18% tip on the meal.

We want to find the total amount that will be paid.

First, we have to find 18% of $35 and then, add it to the original bill ($35).

18% of 35 is:

18/100 * 35 = $6.30

The tip is $6.30, therefore, the total amount paid will be:

$35 + $6.30 = $41.30

You will be paying $41.30 in total.

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3 years ago
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3 years ago
Easy one - giving brainly if correct - show work.
Maksim231197 [3]

Answer:

a = 9.6 b = 11.2

Step-by-step explanation:

10 percent of 8 is .8

8 + (8 x .1) = 8.8

8.8 + .8 = 9.6

She will be paid 9.6 dollars after 1 full year of working, because working for one year is 12 months, and thats 10 percent of 8 twice. You can also put that as 20 percent of 8, aka 1.6

When you do 8+1.6 it equals 9.6

For the second part, that is 24 months, so 10 percent of 8 4 times. .8+.8+.8+.8 = 3.2

8+3.2 = 11.2

She will be paid 11.2 dollars after 2 full years of working.

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4 0
3 years ago
What is the value of y if 13/9 = y/18
Maslowich

Answer:

y=26

Step-by-step explanation:

1. Swap sides

\frac{13}{9}=\frac{y}{18}

Swap sides:

\frac{y}{18}=\frac{13}{9}

2. Isolate the y

\frac{y}{18}=\frac{13}{9}

Multiply to both sides by 18:

\frac{y}{18}\cdot 18=\frac{13}{9}\cdot 18

Group like terms:

\frac{1}{18}\cdot 18y=\frac{13}{9}\cdot 18

Simplify the fraction:

y=\frac{13}{9}\cdot 18

Multiply the fractions:

y=\frac{13\cdot 18}{9}

Simplify the arithmetic:

y=26

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

Why learn this:

  • Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?
  • Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.

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

Terms and topics

  • Linear equations with one unknown

The main application of linear equations is solving problems in which an unknown variable, usually (but not always) x, is dependent on a known constant.

We solve linear equations by isolating the unknown variable on one side of the equation and simplifying the rest of the equation. When simplifying, anything that is done to one side of the equation must also be done to the other.

An equation of:

ax+b=0

in which a and b are the constants and  x is the unknown variable, is a typical linear equation with one unknown. To solve for x in this example, we would first isolate it by subtracting b from both sides of the equation. We would then divide both sides of the equation by a resulting in an answer of:

x = -b/a

8 0
2 years ago
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