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4 years ago

Multiply 5x^3(2x^4-x^3+3)

Mathematics

1 answer:

julia-pushkina [17]4 years ago

8 0

Answer:

10x^7-5x^6+15x^3

Step-by-step explanation:

Distribute the 5x^3 to all the terms

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Cumpute:<br><br> 11squared-(12-4)squared + 3 =

VikaD [51]

Answer:

The result is 60

Step-by-step explanation:

We have to use this expression showing BODMAS rule. According to the rule, we must first solve the brackets. In our expression, the term within the bracket is (12-4) squared = (8) squared = 64.

Then we need to perform the addition followed by subtraction.

The expression becomes:

11 squared - 64 + 3

= 121 - 64 + 3

= 124 - 64

= 60

So, the result of the expression is 60.

5 0

3 years ago

Is 5x to the power of 2 y to the power of 5 Polynomial?

12345 [234]

No. Though, it may seem like it because there are two different variables with x and y in the same term, it is still the same one term. This would make it a monomial. Polynomials have to have more than two terms.

7 0

3 years ago

The sum of the diagonals of a rhombus is 5√2.

Alex

Greetings!
Let ABCD be a rhombus
AC + BD = 5√2 cm

Area of ABCD = Ar△ABD + Ar △BCD
$= \frac{1}{2} \times BD \times AO + \frac{1}{2} \times BD \times OC$
$= \frac{1}{2} BD (AO + OC)$
$\frac{1}{2} BD \times AC$

$So, \frac{ BD \times AC}{2} = 4 \: cm {}^{2}$
$BD \times AC = 8$
$Now, AC + \: BD = 5 \sqrt{2}$

Squaring both sides, we get
$AC {}^{2} + BD {}^{2} + 2 AC.BD =50$
$AC {}^{2} + BD {}^{2} + 2 \times 8 = 50$
$AC {}^{2} + BD {}^{2} = 50 - 16$
$AC {}^{2} + BD {}^{2} = 34$

In △AOB, we have
$OA {}^{2} + OB {}^{2} =AB {}^{2}$
$( \frac{ AC }{2} ) {}^{2} + ( \frac{ BD}{2} ) {}^{2} = AB {}^{2}$
$\frac{ AC {}^{2} } {4} + \frac{ BD {}^{2} }{4} = AB {}^{2}$
$AC {}^{2} + BD {}^{2} = 4 AB {}^{2}$
$34 = 4 AB {}^{2}$

Square rooting both sides
$\sqrt{34} = 2 AB$
$Perimeter = 4 \: AB \\ = 2 \times 2 \: AB \\ = 2 \: \times \sqrt{34 } \\ = 2 \sqrt{34 \: } units$ .

Hope it helps!

7 0

3 years ago

What is the slope of the line that passes through (-2,7) and (4, 9)?

fredd [130]

Answer:

Step-by-step explanation:

(9 - 7)/(4 + 2) = 2/6 = 1/3 is the slope of the line

4 0

3 years ago

38% of blank peaches is 19 peaches.

Igoryamba

Answer:

Step-by-step explanation:

38% of x= 19

38/100 * x= 19

38x=19*100

x=1900/38

x=50

3 0

3 years ago