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2 years ago

What is the factored form of x^2-x-2?

Mathematics

1 answer:

ipn [44]2 years ago

8 0

Answer:

$(x+1)(x-2)$

Step-by-step explanation:

You can factor this by grouping.

$x^2-x-2$

$\left(x^2+x\right)+\left(-2x-2\right)$

$x\left(x+1\right)-2\left(x+1\right)$

$\left(x+1\right)\left(x-2\right)$

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The volume of a spherical sculpture is 256 ft³. Rhianna wants to estimate the surface area of the sculpture. To do the estimate,

Brrunno [24]

Answer:

192 $ft^2$

Step-by-step explanation:

Given that

Volume of spherical sculpture = 256 ft³

$\pi$ is used as 3.

To find:

Surface area of sculpture = ?

Solution:

First of all, let us learn about the formula for Volume and Surface Area of Sphere:

1. $Volume =\frac{4}{3}\pi r^3$

2. $Surface\ Area = 4\pi r^2$

Given volume is 256 ft³.

$256 = \dfrac{4}{3}\pi r^3\\\Rightarrow 256 = \dfrac{4}{3}\times 3 r^3\\\Rightarrow 256 = 4 r^3\\\Rightarrow r^3=64\\\Rightarrow \bold{r = 4\ ft}$

Now, let us put r = 4 in the formula of Surface Area to find the value of Surface Area:

$Surface\ Area = 4\pi 4^2 = 4 \times 3 \times 16 = \bold{192\ ft^2}$

So, approximate surface area of sculpture is 192 $ft^2$ .

3 0

2 years ago

2x 2 (9x 2 −16)

xz_007 [3.2K]

Is the equation2x2(9x+2-16) if so you would do -16+2 first which is -14

Then multiply 2x2 equals 4

4(9x-14)

Multiply the 4 to 9x and -14

You get 36x-56

7 0

2 years ago

Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1? f(x) = (x – 2i)(x – 3i) f(x) =

kykrilka [37]

Answer:

$P(x)=(x-2i)(x-3i)$

Step-by-step explanation:

Build a Polynomial Knowing its Roots

If we know a polynomial has roots x1, x2, ..., xn, then it can be expressed as:

$P(x)=a(x-x1)(x-x2)...(x-xn)$

Where a is the leading coefficient.

Note the roots appear with their signs changed in the polynomial.

If the polynomial has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1, then:

$P(x)=1(x-2i)(x-3i)$

$\mathbf{P(x)=(x-2i)(x-3i)}$

8 0

2 years ago

Read 2 more answers

On a coordinate plane, point AS

nlexa [21]

Answer:

√1370 or about 37.01

Step-by-step explanation:

use distance formula

√(x2-x1)^2+(y2-y1)^2

sqrt(8-7)^2+(41-4)^2

sqrt(1)^2+(37)^2

sqrt 1+1369

sqrt 1370

= about 37. 01

3 0

2 years ago

Help (＞﹏＜)

svetoff [14.1K]

B . hope this helps .

6 0

2 years ago

What is the factored form of x^2-x-2? ​

What is the factored form of x^2-x-2?