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olga55 [171]
3 years ago
14

According to exponent rules,when we divide the expressions we ________ the exponents.

Mathematics
1 answer:
Greeley [361]3 years ago
5 0

Answer:

Subtract

Step-by-step explanation:

According to the Quotient Of Powers Property to divide two powers with the same base, you subtract the exponents.

Ex: 9^12 - 9^9 = 9^3

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The sum of two numbers is 73.if one of them is 40,find the other.​
ICE Princess25 [194]

Answer:

Step-by-step explanation:

Let the other number = x

x + 40 = 73

Subtract 40 from both sides

x + 40 - 40 = 73 - 40

x = 33

6 0
3 years ago
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An airplane flew 4 hours with a 25 mph tail wind. The return trip against the same wind took 5 hours. Find the speed of the airp
balu736 [363]

Answer:

r  = 225 Mil/h     speed of the airplane in still air

Step-by-step explanation:

Then:

d  is traveled distance   and r  the speed of the airplane in still air

so the first equation is for a 4 hours trip

as  d = v*t

d  =  4 *  ( r  + 25)    (1)          the speed of tail wind  (25 mil/h)

Second equation the trip back in 5 hours

d  =  5  * ( r  - 25 )    (2)

So we got a system of two equation and two unknown variables  d  and

r

We solve it by subtitution

from equation (1)     d  =  4r  + 100

plugging in equation 2

4r  + 100  = 5r -  125    ⇒   -r  =  -225     ⇒    r  = 225 Mil/h

And distance is :

d  =  4*r  +  100         ⇒ d  =  4 * ( 225)  +  100

d  =  900 +   100

d  = 1000 miles

6 0
3 years ago
The angle between the complex numbers 2+2i and -7
anygoal [31]

Answer:Consider the right triangle formed by the complex number in the Argand-Gauss plane and it's projections on the axis. – José Siqueira Nov 12 '13 at 17:21

In particular what is the definition of sine of theta in terms of the known sides of the above mentioned right triangle? – Adam Nov 12 '13 at 17:27

Add a comment

3 Answers

1

Consider the following Argand-diagram

enter image description here

The y-axis is the imaginary axis and the x-axis is the real one. The complex number in question is

x+yi

To figure out θ, consider the right-triangle formed by the two-coordinates on the plane (illustrated in red). Let θ be the angle formed with the real axis.

tanθ=yx

⟹tan−1(yx)

The hypotenuse of the triangle will be

x2+y2−−−−−−√

Therefore,

Step-by-step explanation:

5 0
3 years ago
TRUE OR FALSE: <br> An isosceles trapezoid is a trapezoid with congruent legs.
dem82 [27]

Answer:

True

Step-by-step explanation:

If a quadrilateral (with one set of parallel sides) is an isosceles trapezoid, its legs are congruent.

4 0
3 years ago
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9. Khalid drove 66 miles on 3 gallons of gasoline. Which is the number of miles he could drive on 12 gallons of gasoline?
IrinaK [193]

Answer:

264 miles

Step-by-step explanation:

Find the unit rate (mpg):

 66 miles

----------------- = 22 mpg

 3 gallons

On 12 gallons he could drive (22 mpg)(12 gallons) = 264 miles

8 0
3 years ago
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