MATHEMATICS HIGH SCHOOL

The width,w, of a rectangular garden is X -2 the area of the garden is X^3-2X-4 what is an expression for the length of the garden? A. X^2-2x-2
B. X^2+2x-2
C. X^2-2x+2
D. X^2+2x+2

Answers

Answer 1
Answer:

Answer:

D.x^2+2x+2

Step-by-step explanation:

We know that,

The area of a rectangle is,

A = l × b,

Where, l is the length of the rectangle,

w is the width of the rectangle,

Given,

A = x^3-2x-4

w=(x-2)

By substituting values,

x^3-2x-4=(x-2)l

\implies l = (x^3-2x-4)/(x-2)=x^2+2x+2 ( By long division shown below )

Hence, the length of the rectangular garden isx^2+2x+2

Option D is correct.
Answer 2
Answer: A=lw \Rightarrow l=(A)/(w)
A - area, l - length, w - width

w=x-2 \nA=x^3-2x-4 \n \nl=(x^3-2x-4)/(x-2)=(x^3-2x^2+2x^2-4x+2x-4)/(x-2)=(x^2(x-2)+2x(x-2)+2(x-2))/(x-2)= \n=((x^2+2x+2)(x-2))/(x-2)=x^2+2x+2

The answer is D. x²+2x+2.

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During scuba lessons, Sue dove 30 feet, Harriet dove 120 feet, and Kathy dove 90 feet.What integers represent these depths? Order the integers from least to greatest. (Remember, the depth is underneath the surface of the water.)

Answers

120, 90, 30 if you're going from the depths of the water to water level

The quotient of a number and it's a reciprocal

Answers

The quotient of a number and it's reciprocal is square of the original number

Given :

The quotient of a number and it's a reciprocal

For example we take a number 3

Let the  number be 3

The reciprocal of 3 is (1)/(3)

The quotient of a number 3 and it's a reciprocal (1)/(3) is (3)/((1)/(3) ) =3 \cdot (3)/(1) =9

we know that 3^2=9

Square of 3 is 9

From this we can say that,

The quotient of a number and it's a reciprocal is the square of the original number.

Learn more : brainly.com/question/1928559
The quotient of a number and its reciprocal is the square of the original number.

Solve the equation
-13v=195

A. -1/15
B. 15
C. 1/15
D. -15

Answers

Good Morning

-13v=195

Divide both sides by -13

-13v/-13= 195/-13

v= -15

Answer: D

I hope that's help !


Please help me!!!! So confused

Answers


Question:

The area of the kite is 48 cm². What are the lengths of the diagonals PR and QS?

________


Solution:

You can split the kite into two isosceles triangles:   PSR and PQR.

Assume that both diagonals intersect each other at the point O.


•   Area of the triangle PSR:

           m(PR) · m(OS)
A₁  =  ————————
                     2

           (x + x) · x
A₁  =  ——————
                  2


           2x · x
A₁  =  ————
              2


A₁ = x²        (i)


•   Area of the triangle PQR:

            m(PR) · m(PQ)
A₂  =  ————————
                     2

           (x + x) · 2x
A₂  =  ——————
                  2

           2x · 2x
A₂  =  ————
               2

           4x²
A₂  =  ———
             2


A₂ = 2x²        (ii)


So the total area of the kite is

A = A₁ + A₂ = 48


Then,

x² + 2x² = 48

3x² = 48

            48
x²  =  ———
            3

x² = 16

x = √16

x = 4 cm


•   Length of the diagonal PR:

m(PR) = x + x

m(PR) = 2x

m(PR) = 2 · 4

m(PR) = 8 cm


•   Length of the diagonal SQ:

m(SQ) = x + 2x

m(SQ) = 3x

m(SQ) = 3 · 4

m(SQ) = 12 cm


I hope this helps. =)


Tags:  polygon area triangle plane geometry

What is the quotient of b^3+4b^2-3b+126/b+7A. b² + 11b + 80 R276
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C. b² − 11b + 38 R140
D. b² − 3b + 18 R252

Answers

The correct answer for the question that is being presented above is this one: "D. b² − 3b + 18 R252. The quotient of b^3+4b^2-3b+126/b+7. In order to get the answer, you have to start dividing b^3 by b. Then multiply the quotient to b + 7. Then after that, subtract. Do the same thing until you reached the end.

Movie tickets now average $9.50, but are increasing 9% each year. Select the appropriate type of function that models the growth of movie tickets over time in years.A. Quadratic
B. Linear
C. Exponential
D. Absolute Value

Answers

Your answer will be Exponential. 

You can use this to determine the cost/height rate of the movie price.

Final answer: C
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