All categories

2 years ago

7

Mathematics

1 answer:

Anna71 [15]2 years ago

5 0

Answer:

Step-by-step explanation:

You might be interested in

PLEASE ANSWER ITS DUE SO SOON

geniusboy [140]

the line is negative because it goes down as you move right

slope = rise/run = 4/2 = 2

y = 2x+b

use a point on the line - I picked (-4, 3)

3 = 2(-4)+b

3 = -8+b

11 = b

8 0

3 years ago

Consider 8x2 - 48x = -104.

ki77a [65]

Answer:

$3+ 2\mathbf{i}$

$3- 2\mathbf{i}$

Step-by-step explanation:

<u>Quadratic Equation Solving</u>

We have the equation:

$8x^2-48x=-104$

Divide by 8:

$x^2-6x=-13$

Now complete the squares so the left side is a perfect square of a binomial:

$x^2-6x+9=-13+9=-4$

Factoring the perfect square:

$(x-3)^2=-4$

Taking the square root:

$x-3=\sqrt{-4}$

The square root of a negative number is an imaginary number:

$x-3=\pm 2\mathbf{i}$

Solving for x:

$x=3\pm 2\mathbf{i}$

The solutions are:

$3+ 2\mathbf{i}$

$3- 2\mathbf{i}$

7 0

2 years ago

PLZ HElP!!! Simplify 10 – 3x – 13 + 5x 3 – 3x 1 2x – 3 3 – 2x

777dan777 [17]

the answer to the first part is 2x-3

4 0

3 years ago

Soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of drink a

pychu [463]

Answer:

113.04 cubic inches.

Step-by-step explanation:

We have been given that soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter.

To find the amount of drink contained in 6 cans, we will find the volume of 1 can using volume of cylinder formula.

$\text{Volume of cylinder}=\pi r^2h$ , where,

r = Radius of cylinder,

h = Height of cylinder.

First of let us divide diameter of given cylinder by 2 to get the radius of our cylinder as diameter is 2 times the radius.

$\text{Radius}=\frac{2\text{ inches}}{2}$

$\text{Radius}=1\text{ inch}$

Upon substituting our given values in volume formula we will get,

$\text{Volume of can}=\pi*\text{(1 inch)}^2*\text{6 inch}$

$\text{Volume of can}=3.14*\text{(1 inch)}^2*\text{6 inch}$

$\text{Volume of can}=18.84\text{ inch}^3$

Therefore, one can of soft drink contains 18.84 cubic inches of drink.

To find the amount of drink contained in 6 cans we will multiply volume of 1 can by 6.

$\text{Volume of 6 cans}=6\times 18.84\text{ inch}^3$

$\text{Volume of 6 cans}=113.04\text{ inch}^3$

Therefore, 6 cans of soft drink contain 113.04 cubic inches of drink.

4 0

2 years ago

If the rate of the boat in still water is 20 mph, and the rate of the current is x mph, what is the rate of the boat going upstr

TiliK225 [7]

9514 1404 393

Answer:

20 -x

Step-by-step explanation:

Relative to the shore, the speed of the current subtracts from the speed of the boat. The net upstream speed is ...

20 -x . . . . miles per hour

3 0

2 years ago