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3 years ago

How many points does it take to determine a line? A) two B) zero C)three D)one

Mathematics

1 answer:

yaroslaw [1]3 years ago

7 0

The answer is A, two points.

Any two distinct points in a plane determine a line, which has an equation determined by the coordinates of the points.

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Of the 240 available seats for a concert, 63 seats were reserved. What fraction of seats was reserved? Write your answer in simp

Olin [163]

63/240 seats or 21/80
The greatest common denominator is 3, so you would divide both by 3.

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2 years ago

Convert the complex number z = -12 + 5i from rectangular form to polar form.

Paha777 [63]

Answer:

$z=13(\cos 157\degree +i\sin157\degree)$

Step-by-step explanation:

The given complex number is

$z=-12+5i$

The polar form of this complex number is;

$z=r(\cos \theta +i\sin \theta)$ , where

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

$r=\sqrt{144+25}=\sqrt{169}=13$

and

$\theta =\tan^{-1}(\frac{5}{-12})$

This implies that;

$\theta=157\degree$ to the nearest degree.

Hence the polar form is

$z=13(\cos 157\degree +i\sin157\degree)$

7 0

3 years ago

city water tank holds 20 gallons of water. A technician empties 25% of the tank. How many more gallons of water must be removed

eduard

Answer:

Step-by-step explanation:

7 0

2 years ago

All of the x value are called<br>

Vlada [557]

Answer:

Variables

Step-by-step explanation:

4 0

2 years ago

HELP ME!!! Then I will help you on a question.

Firlakuza [10]

Answer:

$150

Step-by-step explanation:

Let the account earns 5% APR as simple interest for the invested principal.

Now, the formula of simple interest gives that,

$A = P(1 + \frac{rt}{100})$ , where A is the final amount, P is the principal amount invested, r is the % of interest and t is the number of years for which the principal is invested.

So, the interest earned will be given by, $I = P \times \frac{rt}{100}$

Hence, in our case, $300 is invested for 10 years at a simple interest of 5%. So, $I = 300\times \frac{5 \times 10}{100} = 150$ dollars.

Therefore, the amount of interest earned will be $150. (Answer)

5 0

2 years ago