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Naddik [55]
3 years ago
10

(-2x)(x-3) Y^2-y/ y Help with algebra!!

Mathematics
1 answer:
saveliy_v [14]3 years ago
3 0

Answer:

8.−2x^2+6x

9.y-1

Step-by-step explanation:

8.(−2x)(x−3)

     =(−2x)(x+−3)

         =(−2x)(x)+(−2x)(−3)

             =−2x^2+6x

9. y^2−y

       y

          = y^2−y

                y

                  =y−1

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What is the least common factor of 60,66
Ilia_Sergeevich [38]

Answer:3

Step-by-step explanation: 60/6=10

66/6=11

60/3=20

66/3=22 you double the numbers of the quotient which halves the factor.

4 0
3 years ago
An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lin
Anna35 [415]

Answer:

C) 52 in^3

Step-by-step explanation:

The first is to determine the formula of the volume of the box, which would be the following:

 V = height * length * width

Knowing that we have a rectangular piece we will determine the maximum volume, we will double a distance x (which will be the height) in the width and length of the piece, therefore as it is on both sides, the length and width are defined from the Following way:

length = 10 - 2 * x

width = 8 - 2 * x

height = x

Now we calculate the volume:

V = x * (10-2 * x) * (8-2 * x)

To determine the maximum volume we will give values to x in order to see how it behaves:

Let x = 2.5

V = (5) * (3) * (2.5) = 37.5

Let x = 2

V = (6) * (4) * (2) = 48

Let x = 1.5

V = (7) * (5) * (1.5) = 52.5

Let x = 1

V = (8) * (6) * (1) = 48

Let x = 0.5

V = (9) * (7) * (0.5) = 31.5

It can be seen that the greatest volume is obtained when the height is equal to 1.5 and its volume is 52.5 in ^ 3

8 0
4 years ago
How would you factor this linear expression? 2x 6
ELEN [110]

2x-6

2(x-3)

therefore 2(x-3)=2x-6

3 0
4 years ago
The sum of two numbers is 90. Their difference is 18. Find<br> the numbers.
Naddik [55]

Answer:

36 & 54

Step-by-step explanation:

<em><u>By </u></em><em><u>Question</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

  • Sum of numbers = 90 .
  • Difference of numbers = 18 .

<em><u>Let </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

  • First Number be x .
  • Second number be y .

<em><u>According</u></em><em><u> to</u></em><em><u> </u></em><em><u>1</u></em><em><u>s</u></em><em><u>t</u></em><em><u> </u></em><em><u>condition</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

: \implies x + y = 90

<u>According</u><u> to</u><u> </u><u>2</u><u>n</u><u>d</u><u> </u><u>condition</u><u> </u><u>:</u><u>-</u><u> </u>

: \implies x - y = 18

<em><u>Adding</u></em><em><u> the</u></em><em><u> </u></em><em><u>equations</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

: \implies 2x = 18 + 90

: \implies 2x = 108

: \implies x = 54

<em><u>Therefore</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

: \implies First number = 54

: \implies Second number = 36

5 0
3 years ago
Read 2 more answers
In the triangle below, the sine of xº is 0.6. What is the sine of y
PilotLPTM [1.2K]

Answer:

The answer is "\sin x=0.6"

Step-by-step explanation:

Please find the attached file of the graph.

Given:

\to \sin x = 0.6\\\\\to x+y+90=180^{\circ} \\\\\to x+y=90^{\circ} \\\\\to y=90-x\\\\  

Let  

\to \cos y= \cos(90-x) =\sin x=0.6

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