All categories

3 years ago

Please brake down why !

Mathematics

1 answer:

lana66690 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

using the rule of radicals

• $\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

simplifying $\sqrt{32}$

$\sqrt{32}$ = $\sqrt{16(2)}$ = $\sqrt{16}$ × $\sqrt{2}$ = 4 $\sqrt{2}$

$\sqrt{32}$ + 5 $\sqrt{2}$

= 4 $\sqrt{2}$ + 5 $\sqrt{2}$ = 9 $\sqrt{2}$ → D

You might be interested in

Salma is training for a marathon. This week she wants to run a total of 60 miles. She ran 8.55 miles on each of the first 3 days

MArishka [77]

Answer:

51.45 miles

Step-by-step explanation:

7 days = 60 miles

3 days = 8.55 miles

60 - 8.55 = 51.45 miles

6 0

2 years ago

Use red and yellow and then a frame. Show both addends 5+7. Draw to make a ten. Then write the new fact. Add.

yarga [219]

It is 12 because you add

4 0

2 years ago

Read 2 more answers

Matt invests £1800 for 2 years at a simple interest rate of 10%.

Snezhnost [94]

Answer:

Step-by-step explanation:

P = 1800

R = 10%

T = 2 years

I = PRT

= 1800 * 10/100 * 2

= 1800 * 0.1 * 2

I = £360

6 0

2 years ago

Differentiate the following functions (x^3+1)(x-2)÷x^2

Masja [62]

Given:

The given function is:

$\dfrac{(x^3+1)(x-2)}{x^2}$

To find:

The differentiation of the given function.

Solution:

Consider the given function,

$y=\dfrac{(x^3+1)(x-2)}{x^2}$

It can be written as:

$y=\dfrac{(x^3)(x)+(x^3)(-2)+(1)(x)+(1)(-2)}{x^2}$

$y=\dfrac{x^4-2x^3+x-2}{x^2}$

$y=\dfrac{x^4}{x^2}-\dfrac{2x^3}{x^2}+\dfrac{x}{x^2}-\dfrac{2}{x^2}$

$y=x^2-2x+\dfrac{1}{x}-\dfrac{2}{x^2}$

Differentiate with respect to x.

$y'=\dfrac{d}{dx}(x^2)-\dfrac{d}{dx}(2x)+\dfrac{d}{dx}(x^{-1})-\dfrac{d}{dx}\2(x^{-2})$

$y'=2x-2(1)+(-x^{-2})-2(-2x^{-3})$

$y'=2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}$

Therefore, the differentiation of the given function is $2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}$ .

8 0

3 years ago

Which of the following fractions would convert to a terminating decimal? the / = a fraction

JulsSmile [24]

Your answer is c)3/10

for the future calculator soup has a good Fraction<span> to Decimal Calculator all you have to do it type in the fraction and it will give you the decimal version.</span><span />

8 0

2 years ago

Read 2 more answers