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3 years ago

Find the real solutions of the equation. (2x-6)^2 + 4(2x -6) +3 = 0

Mathematics

1 answer:

miskamm [114]3 years ago

7 0

Answer:

(

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Simplify the left side.

Tap for more steps...

(

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Use the quadratic formula to find the solutions.

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√

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Substitute the values

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, and

into the quadratic formula and solve for

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Simplify.

Tap for more steps...

The final answer is the combination of both solutions.

Step-by-step explanation:

You might be interested in

In a specific video game scenario, you are given 1,000 gold. You can either train marines to defend your base at 50 gold a piece

Sloan [31]

Answer:

The system is:

$50m+200u\leq 1,000$

$u\leq 3$

$u\geq 0$

$m\geq 10$

Step-by-step explanation:

The variables of your equations are:

$m=\text{number of marines}$

$u=\text{number of upgrades}$

The constraints, which become inequalities are:

1. The total cost cannot be greater than 1,000 gold

Cost of training m number of marines at 50 gold a piece:

$50m$

Cost of purchasing u number of research weapon upgrades at 200 gold per upgrade:

$200u$

Total cost:

$50m+200u$

The cost is limited to 1,000 gold that you are given:

$50m+200u\leq 1,000$

That is the first inequality of your system

2. The game allows a maximum of three upgrades:

This sets an upper bound for the variable:

$u\leq 3$

Add the reasonable constraint that the number of upgrades cannot no be negative:

$u\geq 0$

3. You know that you need at least ten marines trained to survive

This sets a lower bound for the variable:

$m\geq 10$

And those are all the four inequalities that form your system to describe the number of marines and the number of upgrades you can train/purchae in the game:

$50m+200u\leq 1,000$

$u\leq 3$

$u\geq 0$

$m\geq 10$

3 0

3 years ago

A slide at a children's park is 74 inches tall in the horizontal distance The slide covers is 70 inches what is the angle measur

emmainna [20.7K]

Answer:

46.6°

Step-by-step explanation:

A slide at a children's park is 74 inches tall in the horizontal distance The slide covers is 70 inches what is the angle measures created by the slide and the ground

We solve the above question using Trigonometric function of Cosine.

tan x = Opposite/Adjacent

x = The angle

Hypotenuse = Slide covers = 70 inches

Adjacent = 74 inches

tan x = 74/70

x = arc tan (74/70)

x = 46.591140271°

Approximately = 46.6°

6 0

3 years ago

I NEED HELP WITH THIS PROBLEM

coldgirl [10]

Answer:

3 1/2, 3

Step-by-step explanation:

Good luck!

3 0

3 years ago

Read 2 more answers

Describe 4 different rectangles, all of which have a perimeter of 12cm, and find their areas. Record both side lengths and the a

Margaret [11]

Side lengths of rectangle 1: 4 cm and 2 cm; Area of rectangle 1 = 8 cm²

Side lengths of rectangle 2: 3 cm and 3 cm; Area of rectangle 1 = 9 cm²

Side lengths of rectangle 3: 4.5 cm and 1.5 cm; Area of rectangle 3 = 6.75 cm².

Side lengths of rectangle 4: 5 cm and 1 cm; Area of rectangle 4 = 5 cm²

<h3>What is the Perimeter and Area of a Rectangle?</h3>

The perimeter of a rectangle = 2(length + width).

The area of a rectangle = (length)(width).

Assuming the four rectangles have a perimeter of 12 cm each, the following are the different side lengths of each of the four rectangles and their respective area:

Side lengths of rectangle 1:

Length = 4 cm

Width = 2 cm

Perimeter of rectangle 1 = 2(4 + 2) = 12 cm

Area of rectangle 1 = (4)(2) = 8 cm²

Side lengths of rectangle 2:

Length = 3 cm

Width = 3 cm

Perimeter of rectangle 2 = 2(3 + 3) = 12 cm

Area of rectangle 1 = (3)(3) = 9 cm²

Side lengths of rectangle 3:

Length = 4.5 cm

Width = 1.5 cm

Perimeter of rectangle 3 = 2(4.5 + 1.5) = 12 cm

Area of rectangle 3 = (4.5)(1.5) = 6.75 cm²

Side lengths of rectangle 4:

Length = 5 cm

Width = 1 cm

Perimeter of rectangle 4 = 2(5 + 1) = 12 cm

Area of rectangle 4 = (5)(1) = 5 cm²

Learn more about the perimeter and area of rectangles on:

brainly.com/question/24571594

#SPJ1

5 0

2 years ago

The construction cost for the concrete base is estimated at $20 per square foot. Again, if r is the radius of the cylinder, what

deff fn [24]

It’s 20$ Ik cs I did it before so yeah and 1 foot

4 0

3 years ago