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marissa [1.9K]
3 years ago
13

Represent the following expressions as the power of a number a. 1/a^2 · 1/a^3

Mathematics
1 answer:
wolverine [178]3 years ago
4 0

Answer:

a⁻⁵

Step-by-step explanation:

1/a²·1/a³

Multiply numerators and denominators

= (1 × 1)/(a² × a³)

= 1/a⁵

= a⁻⁵

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A rectanglelar field has an area of 2100 square feet. The length of the field is 50 feet​
Setler [38]

Answer: 42 feet

Step-by-step explanation:

P-area of field

P=2100sqf

a-length of field

a=50 feet

P=a*b

2100sqf=50*b

b=2100/50

b=42 feet

5 0
3 years ago
What two numbers have the sum of 12 and the difference of 4
Veronika [31]

Answer:

8 and 4

Step-by-step explanation:

8+4= 12

8-4= 4

hope this helped♥

5 0
3 years ago
Read 2 more answers
NEED HELP A.S.A.P and SHOW YOUR ANSWER PLZ
Murljashka [212]

Answer:

  A.)  X ≥ 5/18

Step-by-step explanation:

Subtract the constants on the left:

  X ≥ 5/6 -1/3 -2/9

  X ≥ 15/18 -6/18 -4/18

  X ≥ 5/18

3 0
3 years ago
Solve the polynomial equation
ExtremeBDS [4]
Hey there!

You can solve this by squaring both sides to first cancel out the square root on the left. Then, you can eliminate each term as your normally would. 

2 \sqrt{x} =x-3

(2 \sqrt{x})^{2}  = (x-3)^{2}

(4x) = (x-3)(x-3)

4x =  x^{2} -6x+9

x^{2} -10x+9

Now, you're given the opportunity to find your solution using the quadratic formula. That formula is:

\frac{-b_-^+ \sqrt{b^2-4ac} }{2a}

You can find out a, b, and c by comparing your new equation to the standard form. Luckily, we just put our equation into standard form:

ax^{2} + bx + c

x^{2} -10x+9

a = 1 \\ b = -10  \\ c = 9

To find your solution, plug these numbers into the quadratic formula and solve. 

\frac{-b_-^+ \sqrt{b^2-4ac} }{2a}

\frac{10_-^+ \sqrt{-10^2-4(9)}}{2}

Remember to use PEMDAS when solving these problems. 

\frac{10_-^+ \sqrt{100-36}}{2}

\frac{10_-^+ \sqrt{64}}{2}

\frac{10_-^+ 8}{2}

Now, solve this final bit by adding the top terms then subtracting them for two different answers. 

\frac{10 + 8}{2} = 9

\frac{10- 8}{2} = 1

Don't assume that both of these are correct. The very last step is to plug both of these into the original problem you were given and see if they make the equation true. 

2 \sqrt{9} =9-3
2*3=6
6=6

2 \sqrt{1} =1-3
2*1=-2
2 \neq -2

So (finally), your answer will be x = 9. 

Hope this helped you out! :-)
7 0
3 years ago
What percent of 25 is 14
Lady bird [3.3K]
The answer is 0.56 

think of this like 

14x = 25 

to find x, divide 14 by 25 

which will give you 0.56 

to check your answer, you can just do 25 * 0.56 
3 0
3 years ago
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