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2 years ago

What are the roots of the equation 16x2 – 64x + 65 = 0 in simplest a + bi form?

Mathematics

1 answer:

Semenov [28]2 years ago

8 0

Step-by-step explanation:

$16 \times 2 - 64x + 65 = 0 \\ 97 - 64x = 0 \\ - 64x = - 97 \\ divide \: both \: side \: by \: - 64 \\ x = \frac{97}{64}$

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a sculpture is formed from a cylinder resting on top of a cuboid. the cylinder has a radius 40cm and height 70cm. the cuboid mea

frosja888 [35]

Answer-

$\boxed{\boxed{\text{Mass}=10.0447256\ ton}}$

Solution-

The dimensions of the cuboid is, 80×80×140 cm

So, its volume will be $=80\times80\times140=896000$ cm³

The dimensions of the cylinder is, radius = 40cm, height = 70cm

So, its volume will be $\pi r^2h=\pi\times40^2\times70=351792$ cm³

Total volume,

$V=V_{\text{Cylinder}}+V_{\text{Cuboid}}\\\\=351792+896000\\\\=1247792\ cm^3$

As we know,

$\Rightarrow \text{Density}=\dfrac{\text{Mass}}{\text{Volume}}$

$\Rightarrow \text{Mass}=\text{Density}\times \text{Volume}$

$\Rightarrow \text{Mass}=8.05\times 1247792=10044725.6\ g$

$\Rightarrow \text{Mass}=10044725.6\times 10^{-6}=10.0447256\ ton$

8 0

3 years ago

which shows one way to determine the factors of 12x^3 - 2x^2 + 18x - 3 by grouping? A) 2x^2(6x - 1) + 3(6x - 1) B) 2x^2(6x - 1)

Eva8 [605]

Answer:

$2x^2(6x - 1) + 3(6x - 1)$

Step-by-step explanation:

Given

$12x^3 - 2x^2 + 18x - 3$

Required

Factorize

To start with; we need to group the expression into two

$(12x^3 - 2x^2) + (18x - 3)$

Factorize each grouped expression, using their common factor

$2x^2(6x - 1) + 3(6x - 1)$

From the list of given options;

Option A is correct

4 0

3 years ago

Rewrite, using the distributive property. 5(2x – 3y) = [?]* - [ ]y

olchik [2.2K]

Answer:

10x-15y

Step-by-step explanation:

So, when they say use the distrubutive property, they basically mean turning this:

a(b+c)

Into this:

ab+ac

So in this case, it would be:

5(2x-3y)

And we will turn it into:

10x-15y

ANother way to think about it is we are multiplying 2x by 5, and -3y by 5. So:

2x*5

10x

And

-3y*5

-15y

Then we can combine these two:

10x-15y

Hope this helps!

7 0

3 years ago

Which equation represents a nonlinear function? A:y=x B:y=2x C:y=x^2 D:y=x+2

N76 [4]

Answer: option c.

Step-by-step explanation:

Option a, b and d are linear equations because they are in the form of y = mx + c which is a straight line.

7 0

3 years ago

hello again I need to find an equation to find the long side of the triangle. but this time only the hypotenuse is given. brainl

Hunter-Best [27]

Answer:

The answer to your question is Long = 10.39

Step-by-step explanation:

Data

hypotenuse = 12

long = ?

Process

1.- To find Long, we must use the trigonometric functions sine or cosine.

If we use sine, we use the 60° angle

If we use cosine, we use the 30° angle

a) sin 60 = long / hypotenuse

Long = hypotenuse x sin 60

Long = 12 x sin 60

Long = 10.39

b) cos 30 = Long / hypotenuse

Long = hypotenuse x cos 30

Long = 12 x cos 30

Long = 10.39

3 0

3 years ago

Read 2 more answers