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bogdanovich [222]
3 years ago
10

Part A: The area of a square is (16x2 − 8x + 1) square units. Determine the length of each side of the square by factoring the a

rea expression completely. Show your work. (5 points) Part B: The area of a rectangle is (81x2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
3 0

Answer:

see below

Step-by-step explanation:

16x^2 − 8x + 1

(4x)^2 -8x +1

Factor

This is a perfect square trinomial

a^2 -2ab +b^2 = (a-b)(a-b)

(4x)^2 -8x +1 = (4x-1) (4x-1)

The area of a square is given by

A = s^2

(4x-1) ^2 = s^2

4x-1 = s

The side length is 4x-1

(81x^2 − 4y^2)

(9x)^2 - (2y)^2

This is the difference of squares

a^2 - b^2 = (a-b) (a+b)

(9x-2) (9x+2)

The area of a rectangle is

A = l*w

(81x^2 − 4y^2)  = (9x-2) (9x+2)

The dimensions are (9x-2) (9x+2)

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Given the formula, y = 3x + 4, enter the value of y in the text box below where the value of x is 2.
kipiarov [429]

Answer:

3x+4=3*2+4

3*2+4=6+4

6+4=10

10=10

7 0
3 years ago
Joey Chestnut is trying to break his own record for eating the most whole hot dogs in 101010 minutes. He needs to eat more than
anygoal [31]

Answer:

9d+11\frac{1}{4}>72

Step-by-step explanation:

We are supposed to write an inequality to determine the number of hot dogs per minute Joey must eat for the last 9 minutes to break his record.

Let d represent the number of hot dogs Joey eats per minute for the next 9 minutes.

We have been given that after 1 minute, Joey has eaten 11\frac{1}{4} hot dogs.

Hot dogs eaten in next 9 minutes would be 9 times d that is 9d.

Total hot dogs eaten by Joey would be hot dogs eaten in 1 minute plus next 9 minutes: 9d+11\frac{1}{4}.

Since to break the record Joey needs to eat more than 72 hot dogs. We can represent this information in an inequality as:

9d+11\frac{1}{4}>72

Therefore, our required inequality would be 9d+11\frac{1}{4}>72.

3 0
3 years ago
PLEASE HELP I WILL MARK BRAINLIEST
Gnom [1K]

Answer:

is C 4,816

Step-by-step explanation:

four thousand is 4,000 eight hundred is 800 sixteen 16

4000+800+16=4,816

3 0
3 years ago
The diameter of a circle measures 7 5/6 inches. What is the radius of the circle? Enter your answer as a mixed number in the box
andrew-mc [135]

The radius of the circle expressed as a mixed number is:  3\frac{11}{12} inches.

<h3>What is the Radius of a Circle?</h3>

Radius of a circle = half the measure of the diameter of a circle.

Given:

diameter of a circle = 7\frac{5}{6} inches

Therefore:

Radius of the circle = 1/2(7\frac{5}{6})

= 1/2(47/6)

= (1 × 47)/(2 × 6)

= 47/12

= 3\frac{11}{12} inches.

Therefore, the radius of the circle expressed as a mixed number is:  3\frac{11}{12} inches.

Learn more about radius of a circle on:

brainly.com/question/24375372

4 0
2 years ago
Which of the following is a monomial <br><br>A. 5x^2+2x+3<br>B. √x-1<br>C. 4x<br>D. 3/x​
earnstyle [38]
C. 4x

Have a good day ;)

7 0
3 years ago
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