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anygoal [31]
3 years ago
13

Find the slope of the equations:

Mathematics
1 answer:
Serggg [28]3 years ago
4 0
3.        2x - y = 10
    2x - 2x - y = -2x + 10
                 -y = -2x + 10
                 -1         -1
                   y = 2x - 10
   Slope: 2

4.        5x - 2y = 10
    5x - 5x - 2y = -5x + 10
                 -2y = -5x + 10
                  -2          -2
                    y = 2.5x - 5

5.    y - y₁ = m(x - x₁)
    y - (-2) = -3(x - (-1))
       y + 2 = 3(x + 1)
       y + 2 = 3(x) + 3(1)
       y + 2 = 3x + 3
           - 2         - 2
             y = 3x + 1
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The mean weight 20 students in a room is 65 kg one student one student who weight is 88kg went into the room what is the new mea
umka2103 [35]

The new mean is 66.09

<u>Explanation:</u>

Mean weight of 20 students = 65kg

One student with 88kg entered the room.

New mean = ?

\frac{x_1+x_2+....+x_2_0}{20} = 65

\frac{x_1+x_2+....+x_2_0 + 88}{21} = ?

The above equation can further be written as:

x_1 + x_2 +....+x_2_0 = 65 X 20\\\\x_1 + x_2 +....+x_2_0 = 1300

New mean = \frac{1300 + 88}{21}

                 = 66.09

Therefore, the new mean is 66.09

6 0
3 years ago
Brainest for best answer only 5 mins left show your work
Kamila [148]

Answer:

Step-by-step explanation:

Problem One

Perimeter is in meters not square meters. The equation is

2*(6.8+x) + 2*12.5= 47                Remove the brackets. Combine like terms  

13.6 + 2x + 25 = 47

38.6 + 2x = 47                            Subtract 38.5 from both sides

2x = 47 - 38.6  

2x = 8.4                                      Divide by 2

x = 4.2

Answer D

Problem 2

This problem is asking that you calculate the perimeter of a swimming pool.

The two semicircles on the ends make a whole circle.

The diameter of the semicircles is obtained from the difference of the two given lengths.

The rectangle has a length of 12. The length of the rectangle and the 2 semicircles is 16. The difference is 4. You could divide this by 2 to get the radius. I would just leave it as the diameter.

So the perimeter is pi*d + 2 * 12 [there are 2 lengths]

Perimeter = 4*pi + 24

Perimeter = 12.56 + 24

Perimeter = 36.56

Answer A

Problem 3

This is the circle inside the square.

The radius of the circle = 9

The diameter of the circle and the length of square's side = 2*9 = 18

The area of the square = s^2  where s = 18

The area of the square = 18^2 = 324

The area of the circle = pi * 9^2 = 3.24 * 81 = 251.34

The area of the Shaded area = 324 - 251.34 = 69.66

Answer C

Problem 4

b1 = 5

b2 = 11.5

h = 4.5

Formula

Area = (b1 + b2 ) * 4.5/2

Area =  (5 + 11.5) * 4.5 /2

Area = 16.5 * 4.5 / 2

Area = 74.25/2

Area = 37.125

Answer D

5 0
3 years ago
Help I’m being timed!!
UNO [17]

Answer:

False the radius would be 6.5

Step-by-step explanation:

Hope this Helps! :)

5 0
3 years ago
Express 0.32 as a fraction
jok3333 [9.3K]
The answer is (32/100)-(8/25 )
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3 years ago
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Divide using long division. Checky<br> (x3+ 3x2 + x - 9) = (x - 1)
Montano1993 [528]

Answer:

x squared plus 2x minus 1.

Step-by-step explanation:

x3+3x2+x-9 is in the division "house" and x-1 is on the outside. xsquare times x equals x cubed. and x square times negative 1 equals -x squsre. put x square on top of the roof. change the signs. the x cubed cancels out. and bring down 2x square from subtracting 3x square and -x square and bring down the x-9. Put 2x on top of the roof too and 2x times x equals 2x square and multiply by -1. U will have 2x square -2x square and -2x plus x which equals -1x cuz the 2x square cancels out. bring down the -9. Now i have -1x-9. Multiply by -1 and put -1 on the roof. -1x+1x cancels out. and -1 times -1 equals positive 1. So -9+1=8. U van do any further cause as soon as the last number is at the end of the roof and u cant go further, ur done dividing. so the answer is x square+2x-1/×-1 +8 as the remainder. hope i helped

6 0
3 years ago
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