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4 years ago

Simplify square root of negative 48

1 answer:

5 0

$\bf \sqrt{-48}\qquad 
\begin{cases}
48=2\cdot 2\cdot 2\cdot 2\cdot 3\\
\qquad 2^2\cdot 2^2\cdot 3\\
\qquad (2^2)^2\cdot 3
\end{cases}\implies \sqrt{-1\cdot (2^2)^2\cdot 3}
\\\\\\
\sqrt{-1}\cdot \sqrt{(2^2)^2\cdot 3}\implies i\cdot 2^2\sqrt{3}\implies 4\sqrt{3}\ i$

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Point A(1,9) and point B(−4,−3) are located within the coordinate plane.

AlekseyPX

Answer:

The answer to your question is 13 units

Step-by-step explanation:

Data

A (1, 9)

B (-4, -3)

distance = ?

Formula

distance = $\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}$

Substitution

distance = $\sqrt{(-4 - 1)^{2} + (-3 - 9)^{2}}$

Simplification

distance = $\sqrt{(-5)^{2} + (-12)^{2}}$

distance = $\sqrt{25 + 144}$

distance = $\sqrt{169}$

Result

distance = 13

8 0

3 years ago

Read 2 more answers

You saved $1,240 and your sister agrees to put it in a savings account at her credit union so you can earn interest. You earned

leva [86]

The amount after 2 years is $2,295.

Given that,

The invested amount is $1,240.
The rate of interest is 8%.
The number of years is 2 × 4 = 8

Based on the above information, the amount after 2 years is

Future value = Present value ×(1 + rate of interest)^number of years

= $1,240 × (1 + 0.08)^8

= $1,240 × 1.08^8

= $2,295

Therefore we can conclude that the amount after 2 years is $2,295.

Learn more: brainly.com/question/18051939

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2 years ago

I furniture sales person sells account for $1560 she receives a 2.75% commission on the sale of the cat how much did she earn on

horrorfan [7]

Just 1560x.0275

$42.90

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3 years ago

A refrigerator costs $580 a year to run. A family purchases a new one for $1200 that will save them 22% annually in energy costs

NeTakaya

Answer:

It will take nine years and four months for the refrigerator to pay for itself.

Step-by-step explanation:

The new refrigerator which costs $1200, saves the family 22% annually in energy cost.

Since the old refrigerator costs $580 to run, we want to determine how many years it will take for 22% of $580 per year to make $1200.

22% of $580

= 580 × 0.22

= 127.6

That is, it saved then $127.6 per year.

Now,

$1200/127.6

≈ 9.4

Which means, it will take 9 years and 4 months for the refrigerator to pay for itself.

7 0

3 years ago

An aeroplane at an altitude of 200m observes the angle of depression of opposite points on the two banks of a river to be 45 and

blagie [28]

Answer:

84.5 m

Step-by-step explanation:

It is often helpful to draw a diagram for word problems involving geometric relationships. One for this problem is shown below.

The mnemonic SOH CAH TOA reminds you of the relationship between sides of a right triangle:

Tan = Opposite/Adjacent

Here we're given angles of depression measured from the horizontal (as shown in the diagram), but it is more convenient to use angles measured from the vertical. In particular, ∠BAO is the complement of 60°, and its tangent is the ratio OB/OA:

tan(30°) = OB/OA

OB = (200 m)·tan(30°) ≈ 115.47 m . . . . . . multiply by OA, use OA=200 m

Likewise, we have ...

OC = (200 m)·tan(45°) = 200 m

Then the width of the river is the difference between these values:

BC = OC -OB = 200 m - 115.47 m = 84.53 m

4 0

4 years ago