A square mosaic tile has the length of 48 mm.

What is the area of the tile?

Answers

Answer 1
Answer: the area is 2304 mm^2 because 48*48=2304
Answer 2
Answer: Your answer is 2304mm.

Hope this helps.


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Three vertices of a square have coordinates (5, 1), (2, -2), and (-1, 1). What are the coordinates of the fourth vertex?
What are the zeros of the polynomial function f(x) = x3 - 2x2 - 24x?

(3b-5)^2-c^2 how do I factor this using grouping?

Answers

so you see it is the difference of 2 perfect squares
a^2-b^2=(a+b)(a-b)
so
(3b-5)^2-c^2=(3b-5+c)(3b-5-c)

Solve the system of equations and choose the correct ordered pair. 4x + 3y = 16
7x + 6y = 31

Answers

The solution is, (1,4) is the solution of the system of equations and choose the correct ordered pair.

4x + 3y = 16

7x + 6y = 31

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

given that,

equation: 1

4x+3y=16          

y=(16-4x)/3  

equation: 2        

7x+6y=31

y=(31-7x)/6

now, we have,

(16-4x)/3 = (31-7x)/6

6(16-4x) = 3(31-7x)

96-24x=93-21x

3=3x

x=1

we get,

4x+3y=16, x=1

4(1)+3y=16

4+3y=16

3y=12

y=4

so, we have,

x=1, y=4

therefore the answer is B (1,4)

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4x+3y=16             7x+6y=31
y=(16-4x)/3           y=(31-7x)/6
(16-4x)/3 = (31-7x)/6
6(16-4x) = 3(31-7x)
96-24x=93-21x
3=3x
x=1

4x+3y=16, x=1
4(1)+3y=16
4+3y=16
3y=12
y=4

x=1, y=4 therefore the answer is B (1,4)

Solve the inequality
2(3x-2)>_22

Answers

2(3x - 2) > 22

Expand (eliminate parentheses on) the left side:

6x - 4 > 22

Add 4 to each side:

6x > 26

Divide each side by 6 :

x > 13/3
2(3x-2) \geq22\ \ \ \ /:2\n\n3x-2\geq11\ \ \ /+2\n\n3x\geq13\ \ \ \ /:3\n\nx\geq4(1)/(3)\n\nx\in\left<4(1)/(3);\ \infty\left)

=================================================================

2(3x-2) > 22\ \ \ \ /:2\n\n3x-2 > 11\ \ \ /+2\n\n3x > 13\ \ \ \ /:3\n\nx > 4(1)/(3)\n\nx\in\left(4(1)/(3);\ \infty\left)

=================================================================

2(3x-2) > -22\ \ \ \ /:2\n\n3x-2 > -11\ \ \ \ /+2\n\n3x > -9\ \ \ \ /:3\n\nx > -3\n\nx\in(-3;\ \infty)

21 – 8(w + 3) + 3 + 7w

Answers

Answer:  -w

Step-by-step explanation:

21 – 8(w + 3) + 3 + 7 w

Solve 4^(2x) = 7^(x−1).

Answers

To solve for x in the given equation, use natural logarithms. Getting the natural logarithms of both sides, will be ln 4^(2x) = ln 7^(x-1). This is also equal to 2x ln 4 = (x-1) ln 7. Rearranging the equation, 2x/(x-1) = ln 7/ln 4. The right side is equal to 1.4037. Thus, the value of x is -2.3539. 

Which is NOT a common denominator for 2/3 and 1/2 ?A. 18
B. 12
C. 6
D. 3

Answers

The number 3 can not be the common denominator for 2/3 and 1/2. The correct option is D.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. The number of components of a specific size is expressed as a fraction.

The fractions will have all the numbers 18, 12, and 6 as the common denominator but can not have 3 as a common denominator.

Therefore, the number 3 can not be the common denominator for 2/3 and 1/2. The correct option is D.

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Answer:

D: 3

Step-by-step explanation:

2 is not a factor of three