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neonofarm [45]
3 years ago
8

Which expression is equivalent to (32^2x^4y^12)^1/5

Mathematics
1 answer:
melisa1 [442]3 years ago
8 0
The answer is 32^96/5xy
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Carla runs 4 miles every day. She jogs from home to the school track, which is 3/4 mile away. She then runs laps around the 1/4
julsineya [31]
She runs 10 laps around the track I hope this helped ^^
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3 years ago
Find the equation of the line that passes through points (3,5) and (-6,2). Write the equation in slope intercept form.
andrezito [222]
1)  gradient of line = Δ y ÷ Δ x
                              = (5 -2) ÷ (3 - (-6))
                              = ¹/₃
   
     using the point-slope form (y-y₁) = m(x-x₁)
     using (3,5)
           (y - 5) = ¹/₃ (x -3)
             y - 5  = ¹/₃x - 1
        ⇒      <span>  y =   ¹/₃ x  + 4  [OPTION D]


</span>2)        y =  2x  +  5  .... (1)
<span>           </span>y = ¹/₂ x  + 6  .... (2)
       
         by substituting y in (1) for y in (2)

           2x  +  5 = ¹/₂ x  + 6 
                 ³/₂ x = 1
                      x = ²/₃

        by substituting found x (2)

            y = ¹/₂ (²/₃)  + 6
            y = ¹⁹/₃

∴ common point is (²/₃ , ¹⁹/₃)  thus answer is FALSE [OPTION B]


3) Yes [OPTION A]
     This is because the both have a gradient of 5 and if they have the same gradient then that means that the two lines are parallel to each other.

4) No [OPTION B]
       Two lines are perpendicular if their gradients multiply to give - 1 and as such one is the negative reciprocal of the other.  Since both gradients are ¹/₂ then they are actually parallel and not perpendicular.

6 0
3 years ago
A person walks 2 3 of a mile in 2 9 of a hour. Which complex fraction when simplified will compute the unit rate of miles per ho
GaryK [48]
2/3  /  2/9
= 2/3 * 9/2
=18/6
=3

rate = 3 miles per hour
3 0
3 years ago
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If BD is the midsegment and BD is parallel to to AE, then value of AE is
Flura [38]
112 is correct, 56 times 2.
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3 years ago
4.4: Measuring a Picture Frame
BlackZzzverrR [31]
It’s simple, do: 8+8+10+10, just add them you will get 36. The explanation is: Perimeter is add up all the sides, since it is a rectangle it has congruent sides, so they have the same length
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