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Ede4ka [16]
3 years ago
9

Using the formula D= r•t where D equals distance traveled, r equals the average rate of speed and t equals the time traveled, ch

oose the expression or equation that correctly represents this information. Sam drove 200 at an average rate of speed of 50 miles per hour. How long did he travel?
Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0
D = r• t
reverses the equation so that D and r are on the same side
d/r = t
200 \div 50 = 4
Sam travels 4 hours at a rate of 50 mph
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Solve the system by elimination 1: x+5y-4z=-10, 2x-y+5z=-9, 2x-10y-5z=0 .. . 2. Solve the system by substitution: 2x-y+z=-4, z=5
Kryger [21]
1 )
1st and 2nd equation (multiply 1st by -2 ):
-2x - 10 y + 8 z = 20
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1st and 3rd:
- 2 x - 10 y + 8 z = 20
   2 x - 10 y - 5 z = 0
-----------------------------
         - 20 x + 3 z = 20  /  * 11
        ----------------------------------
         220 y - 260 z = -220
        - 220 y + 33 z = 220
        ------------------------------
                       z = 0,      y = -1,        x = - 5
2 )  
       2 x - y + 5 = -4
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       Substitution: y = 2 x + 9
       - 2 x + 3(2 x + 9 ) = -5
        4 x = - 32,          x = -8,    y = -7,   z = 5
3 )
      x + y + z = 11
   1.5 x+3 y +1.5 z = 21
      x = 2 y
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      3 y + z = 11  / * (-2)
      6 y + 1.5 z = 21
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     - 6 y - 2 z = -22
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3 years ago
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Paladinen [302]

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C = 25.12 , A = 50.24

Step-by-step explanation:

C = \pi d\\A = \pi r^{2}

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5 0
3 years ago
Name the line of reflection used to map each preimage to its image
rewona [7]

Answer:

From the picture attached,

9). When pre-image KLMN is a reflected across x = -2, we get image K'L'M'N'.

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10). In this picture line of reflection which passes through origin (0, 0) and slope = 1 will be,

y = x.

11). Since, all the points of image and preimage points are equidistant from x-axis, line of reflection will be x-axis or y = 0.

12). Line passing through midpoint of the line joining BB' will be the line of reflection.

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13). Coordinates of G → (2, 5)

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Step-by-step explanation:

3 0
2 years ago
Need help with this question
AleksAgata [21]

First, let's find the slope of the line using the slope formula, which is:

m = \dfrac{y_2 - y_1}{x_2 - x_1}

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In context of this problem, we can use the formula to find the slope of the line between the two points:

m = \dfrac{-2 -6}{7 - (-1)} = \dfrac{-8}{8} = -1


Now, we can use the slope in the point-slope formula, which will help us find the final equation of the line. (For reference, the point-slope formula is (y - y_1) = m(x - x_1) where (x_1, y_1) is a point on the line)


In the context of the problem, we could use the formula to find the equation of the line:

(y - 6) = -1(x + 1)

(y - 6) = -x - 1

\boxed{y = -x + 5}


The equation of the line is y = -x + 5.

4 0
3 years ago
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