All categories

3 years ago

If using the method of completing the square to solve the quadratic equation

Mathematics

1 answer:

Alika [10]3 years ago

7 0

Answer:

$x=\frac{13}{2}+\frac{1}{2}\sqrt{149}$

Step-by-step explanation:

−b±√b2−4ac

−(−13)±√(−13)2−4(1)(5)

2(1)

13±√149

√149 or x=

−1

√149

You might be interested in

PLEASE HELP 10 POINTS

yuradex [85]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Jack bought a motorbike. The original price was $1,300, but he got a discount of 20%. What was the discounted price of the bike?

Vesnalui [34]

Answer:

I believe it's $1,040.

Step-by-step explanation:

So, the original price is $1,300. If we subtract $1,300 by 20% the result should be $1,040.

Therefore, the discounted of the price would be $1,040.

4 0

3 years ago

elve disks with the given measurements are stacked on top of each other. Which expression does NOT give the volume of the cylind

slava [35]

I don't even know for real

8 0

3 years ago

Read 2 more answers

2. If g(x) = x2 – 3x + 2, find g(-4).

juin [17]

Step-by-step explanation:

you plug in -4 into x and multiply

ex: (-4)2-3(-4)+2

5 0

4 years ago

Read 2 more answers

The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his

steposvetlana [31]

The number of basketball that will fill up the entire office is approximately 16,615.

Recall:

Volume of a spherical shape = $\frac{4}{3} \pi r^3$

Volume of a rectangular prism = $l \times w \times h$

Given:

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

First, find the volume of the basketball:

Volume of ball = $\frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\$

Volume of basketball = $448.92 $ in^3$

Convert to $ft^3$

$1728 $ in.^3 = 1 $ ft^3$

Therefore,

Volume of basketball = $\frac{448.92}{1728} = 0.26 $ ft^3$

Find the volume of the office (rectangular prism):

Volume of the office = $20 \times 18 \times 12 = 4,320 $ ft^3$

Number of basket ball that will fill the office = Volume of office / volume of basketball

Thus:

Number of basket ball that will fill the office = $\frac{4,320}{0.26} = 16,615$

Therefore, it will take approximately 16,615 balls to fill up the entire office.

Learn more here:

brainly.com/question/16098833

6 0

3 years ago