All categories

2 years ago

-2x^2-20x-46 How would you solve this?

Mathematics

1 answer:

asambeis [7]2 years ago

7 0

Answer:

-2x^2-20x-46

Step-by-step explanation:

-2(x^2)-20x-46

-2(x^2) -2(10x)-46

-2(x^2)-2(10x)-2(23)

-2(x^2+10x)-2(23)

-2x^2-20x-46

You might be interested in

You have a bag of 12 blue marbles and 12 red marbles. each are labeled 1-12. so you have 24 marbles in total (1-12 for each colo

Softa [21]

Answer:

The probability of the first marble being blue and second being red is a 50/50 because you have 12 red and 12 blue so 50/50

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Which city is the birthplace of Islam?<br> A) Jakarta <br> B) Jerusalem <br> C) Mecca <br> D) Medina

padilas [110]

The answer to your question is C) Mecca

Have a lovely day!

3 0

3 years ago

Read 2 more answers

Sinx=cos19∘<br> What is the value of x?<br><br> Enter your answer in the box.

rusak2 [61]

Remember that cos is just a translation of sin and vice versa.
So:
Sin(x) = Cos(90 - x)
Cos(x) = Sin(90 - x)

Therefore, to answer your question:
Cos(19) = Sin(90 - 19)
= Sin(71)

6 0

3 years ago

If we inscribe a circle such that it is touching all six corners of a regular hexagon of side 10 inches, what is the area of the

Brrunno [24]

Answer:

$\left(100\pi - 150\sqrt{3}\right)$ square inches.

Step-by-step explanation:

<h3>Area of the Inscribed Hexagon</h3>

Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be $10$ inches (same as the length of each side of the regular hexagon.)

Refer to the second attachment for one of these equilateral triangles.

Let segment $\sf CH$ be a height on side $\sf AB$ . Since this triangle is equilateral, the size of each internal angle will be $\sf 60^\circ$ . The length of segment

$\displaystyle 10\, \sin\left(60^\circ\right) = 10 \times \frac{\sqrt{3}}{2} = 5\sqrt{3}$ .

The area (in square inches) of this equilateral triangle will be:

$\begin{aligned}&\frac{1}{2} \times \text{Base} \times\text{Height} \\ &= \frac{1}{2} \times 10 \times 5\sqrt{3}= 25\sqrt{3} \end{aligned}$ .

Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:

$\displaystyle 6 \times 25\sqrt{3} = 150\sqrt{3}$ .

<h3>Area of of the circle that is not covered</h3>

Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is $10$ inches, the radius of this circle will also be $10$ inches.

The area (in square inches) of a circle of radius $10$ inches is:

$\pi \times (\text{radius})^2 = \pi \times 10^2 = 100\pi$ .