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tamaranim1 [39]
3 years ago
10

Expand the following: a) x(x + 2) b) x(2x - 5) c) 2x(3x + 4) d) 6x(x - 2)

Mathematics
1 answer:
TEA [102]3 years ago
4 0

Answer:

<h2>a. \:  {x}^{2}  + 2</h2>

<h2> </h2><h2>b. \: 2 {x}^{2}  - 5x</h2><h2> </h2><h2>c. \: 6 {x}^{2}  + 8x</h2><h3> </h3><h3>d. \: 6 {x}^{2}  - 12x</h3>

solution,

a. \: x(x + 2) \\  \:  \:  = x \times x + 2 \times x \\  \:  \:  =  {x}^{2}  + 2x

b . \: x(2x - 5) \\  \:  = x \times 2x - x \times 5 \\  \:  \:  = 2 {x}^{2}  - 5x

c. \: 2x(3x + 4) \\  \:  = 2x \times 3x + 2x \times 4 \\  \:  \:  = 6 {x}^{2}  + 8x

d. \: 6x(x - 2) \\  \:  \:  = 6x \times x  - 6x \times 2 \\  \:  \:  = 6 {x}^{2}  - 12x

<h2> </h2><h2 />

Hope this helps...

Good luck on your assignment..

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If a rectangle is r feet long and s feet​ wide, which expression represents the length of its diagonal in terms of r and​ s? A r
riadik2000 [5.3K]

The length of its diagonal in terms of r and​ s is √r² + s²

In order to get the length of the diagonal of a triangle, we will use the Pythagoras theorem:

Pythagoras theorem states that the sum of the square of the diagonal is equal to the sum of the square of the other two sides.

Given the following

Length = r feet

width = s feet

The diagonal "l" will be expressed as;

l² = r² + s²

Take the square root of both sides

√l² = √r² + s²

l = √r² + s²

Hence the length of its diagonal in terms of r and​ s is √r² + s²

Learn more here: brainly.com/question/11929455

8 0
3 years ago
26 out of 48 books are small. What percentage of the books are small?
Paraphin [41]

Answer:

54.16%

Step-by-step explanation:

The percentage of books that are some is 54.16 %

In order to find that answer you would have to calculate the total number of small books (26) over the total number of all of the books (48).

The equation would be 26/48=0.5416 however Multiply that answer by 100 and you would get 54.16% and if you want to round to the nearest whole number it would just be 54%

5 0
3 years ago
I need help its confusing and i need it fast thank you
Savatey [412]

Answer:

Hey dude!

The answer is

area of triangle AED= \frac{1}{2} AE x DE

How I got this answer:-

Area of a triangle is \frac{1}{2} base x altitude.

Here, the base of the triangle is DE

And its altitude is AE

Hence, the area would be:-

\frac{1}{2} AE x DE

4 0
3 years ago
For a homework question, Linda is asked to rewrite the expression (x3⋅x)2 ( x 3 ⋅ x ) 2 in the form xk. x k . Linda claims that
andre [41]

Answer:

k=8

Step-by-step explanation:

Question says that given expression is \left(x^3\cdot x\right)^2

Now we need to rewrite that expression in form of x^k.

To do that we need to simplify given problem \left(x^3\cdot x\right)^2.

x is same as x^1

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we can begin with inner parenthesis

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=\left(x^{4}\right)^2

=x^{4*2}

=x^8

Now compare that with =x^k, we get:

k=8

Which is different value that Linda got.

Hence answer of the Linda is wrong.

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