The area of a rectangle equals 13 ½ sq cm. One side of the rectangle is 4 ½ cm. How long is the other side of the rectangle?

The area of a rectangle equals 13 ½ sq cm. One side of the rectangle is 4 ½ cm. How long is the other side of the rectangle?

Related Posts

This Post Has 4 Comments

  1. 1. f(x)=x²+10x+16

    use the formula to find the vertex = (-b/2a, f(-b/2a)) , here in the above equation a=1(as, a> 0 the parabola is open upward), b=10. by putting the values.

    -b/2a = -10/2(1) = -5

    f(-b/2a)= f(-5)= (-5)²+10(-5)+16= -9

    so, vertex = (-5, -9)

    now, find y- intercept put x=0 in the above equation. f(0)= 0+0+16, we get point (0,16).

    now find x-intercept put y=0 in the above equation. 0= x²+10x+16

    x²+10x+16=0 ⇒x²+8x+2x+16=0 ⇒x(x+8)+2(x+8)=0 ⇒(x+8)(x+2)=0 ⇒x=-8 , x=-2

    from vertex, y-intercept and x-intercept you can easily plot the graph of given parabolic equation. the graph is attached below.

    2. f(x)=−(x−3)(x+1)

    by multiplying the factors, the general form is f(x)= -x²+2x+3.

    use the formula to find the vertex = (-b/2a, f(-b/2a)) , here in the above equation a=-1(as, a< 0 the parabola is open downward), b=2. by putting the values.

    -b/2a = -2/2(-1) = 1

    f(-b/2a)= f(1)=-(1)²+2(1)+3= 4

    so, vertex = (1, 4)

    now, find y- intercept put x=0 in the above equation. f(0)= 0+0+3, we get point (0, 3).

    now find x-intercept put y=0 in the above equation. 0= -x²+2x+3.

    -x²+2x+3=0 the factor form is already given in the question so, ⇒-(x-3)(x+1)=0 ⇒x=3 , x=-1

    from vertex, y-intercept and x-intercept you can easily plot the graph of given parabolic equation. the graph is attached below.

    3. f(x)= −x²+4

    use the formula to find the vertex = (-b/2a, f(-b/2a)) , here in the above equation a=-1(as, a< 0 the parabola is open downward), b=0. by putting the values.

    -b/2a = -0/2(-1) = 0

    f(-b/2a)= f(0)= −(0)²+4 =4

    so, vertex = (0, 4)

    now, find y- intercept put x=0 in the above equation. f(0)= −(0)²+4, we get point (0, 4).

    now find x-intercept put y=0 in the above equation. 0= −x²+4

    −x²+4=0 ⇒-(x²-4)=0 ⇒ -(x-2)(x+2)=0 ⇒x=2 , x=-2

    from vertex, y-intercept and x-intercept you can easily plot the graph of given parabolic equation. the graph is attached below.

    4. f(x)=2x²+16x+30

    use the formula to find the vertex = (-b/2a, f(-b/2a)) , here in the above equation a=2(as, a> 0 the parabola is open upward), b=16. by putting the values.

    -b/2a = -16/2(2) = -4

    f(-b/2a)= f(-4)= 2(-4)²+16(-4)+30 = -2

    so, vertex = (-4, -2)

    now, find y- intercept put x=0 in the above equation. f(0)= 0+0+30, we get point (0, 30).

    now find x-intercept put y=0 in the above equation. 0=2x²+16x+30

    2x²+16x+30=0 ⇒2(x²+8x+15)=0 ⇒x²+8x+15=0 ⇒x²+5x+3x+15=0 ⇒x(x+5)+3(x+5)=0 ⇒(x+5)(x+3)=0 ⇒x=-5 , x= -3

    from vertex, y-intercept and x-intercept you can easily plot the graph of given parabolic equation. the graph is attached below.

    5. y=(x+2)²+4

    the general form of parabola is y=a(x-h)²+k , where vertex = (h,k)

    if a> 0 parabola is opened upward.

    if a< 0 parabola is opened downward.

    compare the given equation with general form of parabola.

    -h=2 ⇒h=-2

    k=4

    so, vertex= (-2, 4)

    as, a=1 which is greater than 0 so parabola is opened upward and the graph has minimum.

    hope this : )

    [tex]Use the parabola tool to graph the quadratic function f(x) = -2(x+4)2 - 3 graph the parabola by firs[/tex]

  2. Three waiters, Alex, Bert , and Chris, were supposed to share equally the tips for a week. At the end of a working day, Alex took 1/3 of the tips and left. Bert who did not realize that Alex had taken his share, took 1/3 of the remaining money and left. Finally, Chris came and took 1/3 of the rest of the money and left behind 180 pesos for his friends. What was the total amount of tips in the tip box at the beginning?

    -->Solve it backwards. If the sign is division, make it multiplication.
    --> since 180 is the 2/3 of the money, then
    --> 180 ÷ 2 = 90 , 180 + 90 = 270
    --> 270 × 3 = 810
    --> 810 × 3 = 2430

  3. 1)A

    2)C

    3)B

    4)A

    5)C

    6.A

    7.B

    8.A

    9.B

    10.A

    11.A

    12.D

    13.A

    14.A

    15.B

    16.C

    17.A

    18.D

    19.A

    20.A

    21.C

    22.C

    23.A

    24.A

    25.A

    26.C

    27.B

    28.C

    29.A

    30.C

    31.D

    32.B

    33.C

    34.A

    35.C

    Step-by-step explanation:

    Brainliest pls

    And please u also try to practice more buddy

    If u have any doubt during practice... U can ask me

Leave a Reply

Your email address will not be published. Required fields are marked *