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ExtremeBDS [4]
4 years ago
5

Part B: The area of a rectangle is (81x2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area ex

pression completely. Show your work. (5 points)
Mathematics
1 answer:
vazorg [7]4 years ago
3 0
Hello,

if the aim is to factorise:
81x²-4y²=(9x)²-(2y)²=(9x-2y)(9x+2y)

But the sides may also be and an other expression....
You might be interested in
Work out please what is it
lisov135 [29]

Answer:

answer for 1

5 3/4 - 2 1/4 = 7

2

= 3 1

2

= 3.5

Spelled result in words is seven halfs (or three and one half).

How do you solve fractions step by step?

Conversion a mixed number 5 3

4

to a improper fraction: 5 3/4 = 5 3

4

= 5 · 4 + 3

4

= 20 + 3

4

= 23

4

To find new numerator:

a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4

4

= 20

4

b) Add the answer from previous step 20 to the numerator 3. New numerator is 20 + 3 = 23

c) Write a previous answer (new numerator 23) over the denominator 4.

Five and three quarters is twenty-three quarters

Conversion a mixed number 2 1

4

to a improper fraction: 2 1/4 = 2 1

4

= 2 · 4 + 1

4

= 8 + 1

4

= 9

4

To find new numerator:

a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4

4

= 8

4

b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9

c) Write a previous answer (new numerator 9) over the denominator 4.

Two and one quarter is nine quarters

Subtract: 23

4

- 9

4

= 23 - 9

4

= 14

4

= 2 · 7

2 · 2

= 7

2

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(4, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 4 = 16. In the next intermediate step , cancel by a common factor of 2 gives 7

2

.

In words - twenty-three quarters minus nine quarters = seven halfs.

Step-by-step explanation:

answer for 27 2/3 + 2 1/5 = 148

15

= 9 13

15

≅ 9.8666667

Spelled result in words is one hundred forty-eight fifteenths (or nine and thirteen fifteenths).

How do you solve fractions step by step?

Conversion a mixed number 7 2

3

to a improper fraction: 7 2/3 = 7 2

3

= 7 · 3 + 2

3

= 21 + 2

3

= 23

3

To find new numerator:

a) Multiply the whole number 7 by the denominator 3. Whole number 7 equally 7 * 3

3

= 21

3

b) Add the answer from previous step 21 to the numerator 2. New numerator is 21 + 2 = 23

c) Write a previous answer (new numerator 23) over the denominator 3.

Seven and two thirds is twenty-three thirds

Conversion a mixed number 2 1

5

to a improper fraction: 2 1/5 = 2 1

5

= 2 · 5 + 1

5

= 10 + 1

5

= 11

5

To find new numerator:

a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5

5

= 10

5

b) Add the answer from previous step 10 to the numerator 1. New numerator is 10 + 1 = 11

c) Write a previous answer (new numerator 11) over the denominator 5.

Two and one fifth is eleven fifths

Add: 23

3

+ 11

5

= 23 · 5

3 · 5

+ 11 · 3

5 · 3

= 115

15

+ 33

15

= 115 + 33

15

= 148

15

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(3, 5) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 5 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - twenty-three thirds plus eleven fifths = one hundred forty-eight fifteenths mark me brainlist if i help

4 0
3 years ago
Find the midpoint of the segment with the following endpoints. (7,-6) and (4, -10)​
Firlakuza [10]

Answer:

(5.5,-8)

Step-by-step explanation:

(7 + 4)/2 = 5.5

(-6 + -10)/2 = -8

8 0
3 years ago
Lisa has a certain amount of money. She spent 39 dollars and has 3/4th of the original amount left. How much money did she have
harina [27]
If \frac { 3 }{ 4 } is left, that means \frac { 1 }{ 4 } was spent. So \frac { 1 }{ 4 } of the total amount is equal to 39.. Let's say x to the total amount. \frac { 1 }{ 4 } \cdot x=39\\ x=4\cdot 39\\ x=156\\

4 0
3 years ago
Read 2 more answers
The function h(x) is a transformation of the square root parent function,
kondaur [170]

Answer:

A. h(x)=\sqrt{x-3}

Step-by-step explanation:

<h3>Step 1: Definition</h3>

The parent function of \sqrt{x} is translated to the left when h is positive in the transformation \sqrt{x+h}.

If h is negative, the graph translates towards the left with the distance equal to the value of h.

<h3>Step 2: Implementation</h3>

Here the graph moved 3 units towards the right. This means that h is negative and has the value of 3.

So, plugging that into the parent function for translation, the function becomes:

h(x)=\sqrt{x-3}

8 0
2 years ago
What is the answer to r - 4.5 &lt; 11
Cloud [144]
R - 4.5 < 11
—
r would be 15.5
[ r = 15.5 ]
5 0
3 years ago
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