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2 years ago

Can I get some help

Mathematics

1 answer:

Mariulka [41]2 years ago

5 0

Given:

The expression is

$2x^4+2x^3-x^2-x$

The steps are given.

To find:

The mistake in her steps.

Solution:

We have,

$2x^4+2x^3-x^2-x$

The correct steps are shown below.

Step 1: Taking out x as common factor.

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

Step 2: Now, taking out 2x² as common factor from first two terms (first group of terms) and -1 form last two terms (second group of terms) in the parentheses.

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

Step 3: Taking out (x+1) as common factor.

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

She incorrectly factored -1 from the second group of terms.

Therefore, the correct option is B.

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BC and DF are parallel lines. B is a point on AD and E is a point of DF. BD=BE. work out angle DBE give a reason. ITS ON MATHSWA

zloy xaker [14]

Answer:

(Angle DBE) ∠DBE = 50°

Step-by-step explanation:

It is crucial for us to be able to interpret plane geometry related question in order to solve them efficiently.

From the question given; we have analysed and come up with a diagrammatic expression and mathematical solution that clearly explains the question .

Given that

BC and DF are parallel lines.

B is a point on AD

BD=BE

work out angle DBE and give a reason.

The diagram can be seen in the attached image below.

SInce ∠BD = ∠DE

Then triangle BDE is an isosceles triangle. In an isosceles triangle ; two sides are equal in length.

The sum of angles in an isosceles triangle = 180° (sum of angles in a triangle)

So;

∠BDE + ∠BED + ∠DBE = 180° (sum of angles in a triangle)

From the diagram; we will see that ∠ABC = ∠BDE (corresponding angle)

Since ; ∠ABC is not given and which is needed to solve this question.

Let's just assume that ∠ABC is 65° , the main thing is to be able to interpret and understand the concept of the question.

Now;

Since

∠ABC = ∠BDE

∠ABC = 65°

∠BDE = 65°

Again;

∠BDE + ∠BED + ∠DBE = 180° (sum of angles in a triangle)

∠BDE will be aso equal to ∠BED ; this is because since the length of the opposite sides of the isosceles triangle are equal, their angles will also be equal.

Therefore;

65° + 65° + ∠DBE = 180° (sum of angles in a triangle)

130 ° + ∠DBE = 180° (sum of angles in a triangle)

∠DBE = 180° - 130°

∠DBE = 50°

3 0

3 years ago

The height of a cylinder is twice the radius of its base.

Ber [7]

Let x represent radius of circle.

We have been given that the height of a cylinder is twice the radius of its base. So height of cylinder would be $2x$ .

Now we will use volume of cylinder formula to our given problem.

$V=\pi r^2h$ , where,

r = Radius of base of cylinder,

h = Height of cylinder.

Upon substituting our given values, we will get:

$V=\pi\cdot x^2\cdot 2x$

$V=2x^3\pi$

Therefore, our required volume expression would be $2x^3\pi$ .

6 0

3 years ago

Directions: Evaluate the following combinations and determine the value of the

Andru [333]

Answer:

1. C(9,4) : n=9, s=4

2. C(10,5) : r=5

3. C(5,5) : n=5

4. C(7,7) : n=6

5. C(18,17) : r=3

Step-by-step explanation:

4 0

2 years ago

Nobody is helping me on this pls answer and ty

Aleks [24]

Answer:

38.7

Step-by-step explanation:

$\frac{sinA}{A}=\frac{sinB}{B}=\frac{sinC}{C}$

A, B and C are the sides of the triangle and sinA, sinB and sinC are the opposing angles

$\frac{sin95}{43}=\frac{A}{27}$

$A = sin^{-1} (\frac{27*sin95}{43} )=38.72018809$

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3 years ago

((-2^2)(-1^-3))•((-2^-3)(-1^5))^-2

Vitek1552 [10]

Answer:

256

Step-by-step explanation:

A calculator works well for this.

_____

None of the minus signs are subject to the exponents (because they are not in parentheses, as (-1)^5, for example. Since there are an even number of them in the product, their product is +1 and they can be ignored.

1 to any power is still 1, so the factors (1^n) can be ignored.

After you ignore all of the things that can be ignored, your problem simplifies to ...

(2^2)(2^-3)^-2

The rules of exponents applicable to this are ...

(a^b)^c = a^(b·c)

(a^b)(a^c) = a^(b+c)

Then your product simplifies to ...

(2^2)(2^((-3)(-2)) = (2^2)(2^6)

= 2^(2+6)

= 2^8 = 256

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3 years ago