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3 years ago

What is the quotient of a number a and a number c

Mathematics

1 answer:

Hatshy [7]3 years ago

7 0

Quotient is simply the result of dividing.

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Solve the equations. a. (x − 2)^2 = 9 b. 3(x − 2)^2 = 9 c. 6 = 24(x + 1)^2

seropon [69]

Answer: a) x = 5 or -1 b) x = √3+2

c) x = -1/2 or -3/2

Step-by-step explanation:

a) (x − 2)² = 9

First step is to take the square root of both sides to eliminate the square

√ (x − 2)² = √9

x-2 = +-3

x = +3+2

x = 5 and;

x = -3+2

x = -1

x = 5 or -1

b) 3(x-2)² = 9

First we divide both sides by 3 to get;

(x-2)² = 9/3

(x-2)² = 3

Second step is to take the square root of both sides to eliminate the square

√(x-2)² = √3

x-2 = √3

x = √3+2

c) 6 = 24(x+1)²

Dividing both sides by 24, we have

6/24 = (x+1)²

1/4 = (x+1)²

Taking the square root of both sides we have

√1/4 = √(x+1)²

= +-1/2 = x+1

x = +1/2-1 = -1/2 and;

x = -1/2-1 = -3/2

x = -1/2 or -3/2

4 0

3 years ago

You start driving north for 6 miles, turn right, and drive east for another 19 miles. At the end of driving, what is your straig

Anton [14]

Answer:

Okay, here's the method I'm going to use.

If you drive north 6 miles, and then drive east 19 miles, you are technically making a triangle.

19 miles

l_______________

6 milesl

You are just missing the last side of the triangle: the straight line stretching from across your starting point to the ending point. You can find this by using the Pythagorean theorem.

a^2 + b^2 = c^2

6^2 + 19^2 = c^2

36 + 361 = c

397 = c

$\sqrt{397}$ = 19.924859

Rounded to the nearest tenth, your answer is

19.9 miles

5 0

2 years ago

Triangles MOP and MNQ are similar. Find x. 2 3 4 5

Diano4ka-milaya [45]

Answer:

x = 3

Step-by-step explanation:

MQ : MN = 5:6

MP : MO = 5:6

MQ/MN = 5/6

Hence, MP/MO = 5/6

(5+x)/(6+(18/5)) = 5/6

5+x = (5/6)(48/5)

5+x = 8

x = 3

4 0

3 years ago

The 40th parallel of north latitude runs across the United States through Philadelphia, Indianapolis, and Denver. At this latitu

Ronch [10]

Answer:

793.25 mi/hr

Step-by-step explanation:

Given that:

The radius of the earth is = 3030 miles

The angular velocity = $\dfrac{\pi}{12} rads$

If a jet flies due west with the same angular velocity relative to the ground at the equinox;

We are to determine the How fast in miles per hour would the jet have to travel west at the 40th parallel for this to happen.

NOW;

Distance s is expressed by the relation

s = rθ

$s = 3030(\frac{\pi}{12} )$

s = 793.25

The speed which depicts how fast in miles per hour the jet would have traveled is :

$speed (v) = \frac{s}{t}$

$v = \frac{793.25}{1}$

v = 793.25 mi/hr

Hence, the jet would have traveled 793.25 mi/hr due west at the 40th parallel for this to happen.

7 0

3 years ago

I NEED HELP ill mark brainilist to best answer

Arturiano [62]

All you have to do is add up the side lengths we already know then subtract by the perimeter.
60.3 is the side lengths all together that we know
82-60.3=21.7
Hope this helped!!

4 0

3 years ago

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