1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
miv72 [106K]
2 years ago
12

Which expression is equivalent to...

Mathematics
1 answer:
torisob [31]2 years ago
7 0

Answer:

x^{\frac{2}{7} } y^{-\frac{3}{5} } \\  i.e answer A.

Step-by-step explanation:

This question involves knowing the following power/exponent rule:

\sqrt[n]{x^m} = x^\frac{m}{n} \\\\so \sqrt[7]{x^2} = x^\frac{2}{7} \\\\and  \\\\ \sqrt[5]{y^3} = y^\frac{3}{5} \\

Next, when a power is on the bottom of a fraction, if we want to move it to the top, this makes the power become negative.

so the y-term, when moved to the top of the fraction, becomes:

y^{-\frac{3}{5} } \\

So the answer is: x^{\frac{2}{7} } y^{-\frac{3}{5} } \\

You might be interested in
A card is drawn from the numbered from 5 to 30 find the probability of getting square or even numbered card
skelet666 [1.2K]

Answer:

5/6 maybe I'm not sure but hey it's worth a shot

3 0
2 years ago
Let x be a real number. Find the lowest possible value of |5x^2 - 16| + |10x - 2|.
BlackZzzverrR [31]

Since the equations are for absolute value this means any negative number used the answer would become positive, so to get the lowest value possible x would need to equal 0, which would eliminate the x variable from the equations.

Replace x with 0 and solve:

|5(0)^2 - 16| + |10(0) - 2|

Simplify:

|0 - 16| + |0 - 2|

|-16| + |-2|

Combine:

|-18|

Absolute Value = 18

4 0
2 years ago
Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).
PtichkaEL [24]
Okay to find the perpendicular bisector of a segment you first need to find the slope of the reference segment.

m=(y2-y1)/(x2-x1) in this case:

m=(-5-1)/(2-4)

m=-6/-2

m=3

Now for the the bisector line to be perpendicular its slope must be the negative reciprocal of the reference segment, mathematically:

m1*m2=-1  in this case:

3m=-1

m=-1/3

So now we know that the slope is -1/3 we need to find the midpoint of the line segment that we are bisecting.  The midpoint is simply the average of the coordinates of the endpoints, mathematically:

mp=((x1+x2)/2, (y1+y2)/2), in this case:

mp=((4+2)/2, (1-5)/2)

mp=(6/2, -4/2)

mp=(3,-2)

So our bisector must pass through the midpoint, or (3,-2) and have a slope of -1/3 so we can say:

y=mx+b, where m=slope and b=y-intercept, and given what we know:

-2=(-1/3)3+b

-2=-3/3+b

-2=-1+b

-1=b

So now we have the complete equation of the perpendicular bisector...

y=-x/3-1 or more neatly in my opinion :P

y=(-x-3)/3
4 0
2 years ago
Read 2 more answers
HELP I NEED HELP ASAP
Paladinen [302]
<h2>            <u>Rectangular</u> <u>Areas</u> <u>and</u> <u>Perimeters</u></h2>

The perimeter of a rectangle is given by:

\boxed{\bold{Perimeter = 2 (length + width)}}

In the problem we have these data:

  • Length = a
  • Width = -2x + 20
  • Perimeter = 6 + 2 (-2x + 20)

We replace the data in the equation of the perimeter:

<h3>6 + 2 (-2x + 20) = 2 (a - 2x + 20) </h3>

We apply distributive property:

6 - 4x + 40 = 2a - 4x + 40

6 = 2a

6 ÷ 2 = a

3 = a

⇒ Length = 3

The area of ​​the rectangle is given by:

\boxed{\bold{Area = 2 (length + width)}}

We have these data:

  • Length = 3
  • Width = -2x + 20

We replace the data in the equation of the area:

<h3>Area = (3) (- 2x + 20) </h3>

We apply the distributive property and obtain:

Area = -6x + 60

<u>The expression representing the area of ​​the rectangle will be -6x + 60</u>

<h3>I hope I've helped!</h3>
8 0
3 years ago
Steph took out a simple interest loan that charges 8.5% interest annually. If her original loan amount was for $30,000 and she i
vazorg [7]

Answer:

$81,000

Step-by-step explanation:

A = Final Payment = ?

P = Principal Amount = $30,000

r = Interest Rate = 8.5%

t = Time = 20 Years

A = P(1 + rt)

A = 30,000(1 + 0.085 x 20)

A = 30,000 + 51000

A = $81,000

Hence, Steph will pay $81,000 altogether.

8 0
3 years ago
Other questions:
  • Point C is the center of the circle. If angle ACB measures (5x + 10)° and arc AB measures (x + 50)° , find x.
    10·1 answer
  • What's the answer to 16x-10y=10<br>                              -8x-6y=6
    8·1 answer
  • PLEASE HELP!!<br><br> g(r)=25−3r<br> G(4)=
    8·2 answers
  • Alicia borrowed $15,000 to buy a car. She borrowed the money at 8% for 6 years.
    11·1 answer
  • Good at area pls helppp <br><br> Find the area. The figure is not drawn to scale.
    5·1 answer
  • What is the inverse of-65<br><br>​
    11·1 answer
  • The sum of three consecutive even integers is 90. Find the Integers.
    12·2 answers
  • Please help I need this done ASAP <br> 10 points + crown for whoever has the most accurate answer
    8·1 answer
  • Find all the numbers such that the sum of twice the number and 8 is greater than or equal to tour times the number​
    12·1 answer
  • Which number sentence is represented by this model?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!