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Radda [10]
3 years ago
14

Maria is adding a shelf to her bookcase. The piece of wood she has for her shelf is 30 1/2 inches long . The other shelves are e

ach 27 1/4 inches long. How much longer is the piece of wood than the other shelves
Mathematics
1 answer:
Scilla [17]3 years ago
4 0

Answer:

3 1/4

Step-by-step explanation:

Given that :

Length of piece of wood = 30 1/2

Length of other book shelves = 27 1/4

Difference between the length gives how much longer the piece of wood is than the other book shelves :

30 1/2 - 27 1/4

61 /2 - 109 /4 = (122 - 109) / 4

(122 - 109) / 4 = 13 /4

13 /4 = 3 1/4

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Find the domain for the function f(x) = the quotient of the square root of the quantity x minus 3 and the quantity x minus 5.
Daniel [21]

f(x) =  sqrt [( x - 3) / (x - 5)]

well x cannot be 5  because  that would make  x - 5 = 0.

Also the fraction x - 3 / x - 5 cannot be negative because theres no real square root of a negative.

So  x must be <= 3 or  > 5

In interval notation the domain is ( -∞,3] or (5 , ∞)

4 0
3 years ago
Read 2 more answers
Find the sides, and the value of x and y.
Gelneren [198K]

Answer:

\huge\boxed{x=15;\ y=4}

Step-by-step explanation:

Proportion:

\dfrac{x}{18}=\dfrac{5}{6}\qquad|\text{cross multiply}\\\\(x)(6)=(18)(5)\\\\6x=90\qquad|\text{divide both sides by 6}\\\\\huge\boxed{x=15}

\dfrac{y}{5}=\dfrac{12}{x}

substitute x = 15:

\dfrac{y}{5}=\dfrac{12:3}{15:3}\\\\\dfrac{y}{5}=\dfrac{4}{5}\qquad|\text{cross multiply}\\\\(y)(5)=(5)(4)\\\\5y=20\qquad|\text{divide both sides by 5}\\\\\huge\boxed{y=4}

3 0
3 years ago
Pentagon ABCDE is reflected across the line shown and then rotated
max2010maxim [7]

Answer:

rotate it once to the right and you will get the vertices

Step-by-step explanation:

8 0
3 years ago
What’s the answer of a multiplying polynomials (3x-1) to the second power and (x+6) to the second power
Vladimir [108]

9x^4+102x^3+253x^2-204x+36 is the result of multiplying (3x-1) to the second power and (x+6) to the second power

<h3><u>Solution:</u></h3>

Given that we have to find the result of multiplying polynomials (3x-1) to the second power and (x+6) to the second power

"Second power" means the term is raised to power of 2

Therefore,

We have to multiply (3x-1)^2 \text{ and }(x+6)^2

\rightarrow (3x-1)^2 \times (x+6)^2

We can use the algebraic identity to expand the above expression

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

Applying these in above expression, we get

\rightarrow ((3x)^2-2(3x)(1)+1^2) \times (x^2+2(x)(6)+6^2)\\\\\rightarrow (9x^2-6x+1) \times (x^2+12x+36)

Multiply each term in first bracket with each term in second bracket

\rightarrow 9x^2(x^2)+(9x^2)(12x)+(9x^2)(36)-6x(x^2)-6x(12x)-6x(36) + x^2+12x+36

Simplify the above expression

\rightarrow 9x^4+108x^3+324x^2-6x^3-72x^2-216x+x^2+12x+36

Combine the like terms

\rightarrow 9x^4+102x^3+253x^2-204x+36

Thus the above expression is the result of multiplying (3x-1) to the second power and (x+6) to the second power

4 0
3 years ago
8 plus 3 cubed over 12-7
Finger [1]

Answer:

7

Step-by-step explanation:

8+3³/12-7

8+27/5

35/5

7

4 0
3 years ago
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