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Aliun [14]
3 years ago
14

Simply by using rationalize denominators. 2a^-1/2

Mathematics
1 answer:
Advocard [28]3 years ago
8 0
Pemdas, so exponent before multiply
so do a^-1/2 then multiply it by 2

remember that x^ \frac{m}{n}= \sqrt[n]{x^m} and
x^{-m}= \frac{1}{x^m}
therefor, a^ \frac{-1}{2}= \frac{1}{a^ \frac{1}{2} } = \frac{1}{ \sqrt{a} }
the we multiply by 2

\frac{2}{ \sqrt{a} }

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Exit Ticket
melisa1 [442]

Answer:

116 miles

Step-by-step explanation:

Given

(x_1,y_1) = (-41,3) --- Camp 1

(x_2,y_2) = (75,3) --- Camp 2

Required

The distance between both camps

This is calculated using:

d^2 = \sqrt{(x_1-x_2)^2 + (y_1-y_2)^2}

d^2 = \sqrt{(-41-75)^2 + (3-3)^2}

d^2 = \sqrt{(-116)^2 + (0)^2}

d^2 = \sqrt{116^2}

d = 116

The distance is 116 miles

3 0
3 years ago
Ashley is riding her bike to train for a triathlon and so far has traveled 96 miles.
Elina [12.6K]

Answer:

6.4

Step-by-step explanation:

she has been riding her bike for 6.4 hours.

7 0
2 years ago
A box contains orange balls and green balls. The number of green balls is seven more than three times the number of orange balls
OverLord2011 [107]

Answer:

52 green, 15 orange

Step-by-step explanation:

g + o = 67   g = green, o = orange, x = total

g = 3o + 7

use substitution: (3o + 7) + o = 67

solve for o:

4o + 7 = 67

4o = 60

o = 60/4 = 15

solve for g:

g + 15 = 67

g = 52

3 0
3 years ago
Could someone plz help I need the answers by tonight
Maksim231197 [3]

Answer:

7)  C) PQR ≈ TSR

8) B)  3

9) D) 102 ft

10) D) 21

11) C) 45

Step-by-step explanation:

7) C) PQR ≈ TSR

8) 2 * 6 = 12

so 4x = 12

      x = 3

9)

24/20 = x/85

x = 24 * 85 / 20

x = 202 ft

10)

QT/35 = 24/40

QT/35 = 3/5

QT = 35 * 3 / 5

QT = 21

11)

ΔKLM ≈ΔXYZ

9/4 = 2.25

So

XY = 9 ---> given

YZ = 7 * 2.25 = 15.75

XZ = 9 * 2.25  = 20.25

Perimeter ΔXYZ = 9 + 15.75 + 20.25 = 45

7 0
3 years ago
If 5^-x = 25, what is the value of 5^0.5x?
scoundrel [369]

Answer:

1/5

Step-by-step explanation:

5^{-x} = 25 so  x = -2 because 5^{2} = 25

if x = -2 then plug in: 5^1/2(-2)  =  5^-1  = 1/5

3 0
3 years ago
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