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Setler [38]
3 years ago
8

Could someone explain how to do this, I have no idea how...

Mathematics
1 answer:
alexira [117]3 years ago
7 0

Answer:

2a²

Step-by-step explanation:

Pair 'like' terms with 'like' terms, ie numbers go with numbers, and 'a's go with 'a's.

Lets deal with the top of the fraction first:

4ax3a³

Rearrange it so you have numbers beside numbers and 'a's beside 'a's:

(4x3)x(axa³)

12x(a⁴) <em>(because nᵃxnᵇ=nᵃ⁺ᵇ)</em>

12a⁴

Now, instead of (4ax3a³)/6a², we have 12a⁴/6a²

First divide the numbers: 12/6 =2

Now divide the 'a' parts: a⁴/a²=a² <em>(because nᵃ/nᵇ=nᵃ⁻ᵇ)</em>

Now we have 2a²

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the length of a rectanglr exceeds its width by 5 inches, and the area is 84 square inches. what are the length and width of a a
irga5000 [103]

The area is the product of length and width, which is to say that the length and width are factors of the area.

Assuming the dimensions are integers, you want factors of 84 that differ by 5.

... 84 = 1×84 = 2×42 = 3×28 = 4×21 = 6×14 = 7×12

The last of these pairs differ by 5, so ...

  • the length is 12 inches
  • the width is 7 inches.
8 0
4 years ago
Read 2 more answers
Find the center and radius, then write the standard equation of this circle
kirza4 [7]

Center is at (0, 0) and make sure you label it on the diagram
Radius is 5 units
Equation of circle is
(X-0)^2 + (y-0)^2 = 5^2
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8 0
3 years ago
How does the equation h(x)=-(x,-3)2 + 4 compare to the graph of g(x)=x2?
Keith_Richards [23]

Answer:

option A

Step-by-step explanation:

The curve h(x)=-(x,-3)2 + 4 has a negative coeff for the degree e term. So the curve ud opened downward

To express the function in normal form,

H = -SQ(X) + 6X - 5

So the y intercept is -5

To find the roots of H

H = -SQ(X) + 6X - 5

(x-1)(x-5) = 0

so the curve has x intercept at 1 and 5

Thus the max point is at x=3

so the curve is shift right by 3 units

{ the function g(x)=x2 has turning point (0, 0) }

since the max point is at x=3, sub x=3 into the function H,

the max point is (3, 4)

So the function H is shift up by 4 unit

4 0
3 years ago
-5y - 12.93=18.97 - 2.8y solve for y
Nata [24]

Answer: y=-14.5  hope it helps :)

4 0
3 years ago
The largest species of penguins is the emperor penguin. One of the smallest is the Galápagos penguin. The total height of the tw
raketka [301]

The height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm

<em><u>Solution:</u></em>

Given that The largest species of penguins is the emperor penguin. One of the smallest is the Galápagos penguin

<em><u>To find: height of each penguin</u></em>

From given question,

Let "e" be the height of emperor penguin

Let "g" be the height of galapagos penguin

Total height of two penguins = 169 centimeter

Therefore,

height of emperor penguin + height of galapagos penguin = 169

e + g = 169  ---- eqn 1

The emperor penguin is 22 centimeters more than twice the height of the Galápagos penguin

height of emperor penguin = 22 + 2(height of galapagos penguin)

e = 22 + 2g --- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

g = 169 - e ------- eqn 3

Substitute eqn 3 in eqn 2

e = 22 + 2(169 - e)

e = 22 + 338 - 2e

e + 2e = 360

3e = 360

<h3>e = 120</h3>

Thus from eqn 3,

g = 169 - 120

<h3>g = 49</h3>

Thus height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm

3 0
3 years ago
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