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3 years ago

Expressed in simplified radical form what is the value of √r-√16r when r=2

Mathematics

1 answer:

Ket [755]3 years ago

5 0

Answer:

- 3 $\sqrt{2}$

Step-by-step explanation:

using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

simplifying $\sqrt{16r}$ when r = 2

= $\sqrt{32}$

= $\sqrt{16(2)}$

= $\sqrt{16}$ × $\sqrt{2}$ = 4 $\sqrt{2}$ , hence

$\sqrt{2}$ - 4 $\sqrt{2}$ = - 3 $\sqrt{2}$

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A sloth is climbing down a tree at a constant speed. The sloths height changes by -55 feet in 11 minutes. Which expression repre

guapka [62]

Answer:
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Because you can have a negative minute after dividing

4 0

3 years ago

Finda + b, 8a + 9b, |a|, and |a − b|.(Simplify your answer completely.)a =leftangle0.gif−3, 4rightangle0.gifb =leftangle0.gif9,

alekssr [168]

Answer:

Step-by-step explanation:

Given the following vectors a = (-3,4) and b = (9, -1)

|a| and |b| are the modulus of a and b respectively.

|a| = √(-3)²+4²

|a| = √9+16

|a| = √25

|a| = 5

Similarly;

|b| = √(9)²+1²

|b| = √81+1

|b| = √82

We are to find the following;

a) a + b

a+b = (-3,4) + (9, -1)

a+b = (-3+9, 4+(-1))

a+b = (6, 4-1)

a+b = (6,3)

b) 8a + 9b

8a + 9b = 8(-3,4) + 9(9, -1)

8a + 9b = (-24,32) + (81, -9)

8a + 9b = (-24+81, 32+(-9))

8a + 9b = (57, 32-9)

8a + 9b = (57, 23)

c) |a| = √(-3)²+4²

|a| = √9+16

|a| = √25

|a| = 5

d) |a − b|

To get |a − b|, we need to get a-b first

Solve for a -b

a-b = (-3,4) - (9, -1)

a-b = (-3-9, 4-(-1))

a-b = (-12, 4+1)

a-b = (-12,5)

Find modulus of a-b i.e |a − b|,

|a − b| = √(-12)²+5²

|a − b| = √144+25

|a − b| =√169

|a − b| = 13

6 0

3 years ago

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nirvana33 [79]

Answer:

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Step-by-step explanation:

Let x be the number of months passed after first month

$2,000 for the first month with a $300 raise every month thereafter

Function describing this situation:

$f(x)=2,000+300x$

$1,500 for the first month with a 5% raise every month thereafter

Function describing this situation:

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Plot both graphs (see attached diagram). The diagram shows that the job A is more profitable for nearly 49 months (or 50 months including the first month) and the job B is more profitable after 49 months (or 50 months including the first month).

7 0

3 years ago

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murzikaleks [220]

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3 years ago