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Grace [21]
2 years ago
6

Need to find the constant

Mathematics
1 answer:
evablogger [386]2 years ago
4 0

time, t = 50

rate, r = 40

number of words, w

t = w/r

=》 50 = w/ 40

=》 w = 50 × 40 = 2000words

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Suppose you are given Circle B with Area of ΔAOB(purple) = Area of Sector BOC (pink). What is m
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Find parametric equations for the line through point P(-1,-1,-1) and Q(-5,7,3) A. x = t + 4; y = t - 8; z = -1t - 4
Elan Coil [88]

Answer:

B) x = -4t - 1; y = 8t - 1; z = 4t - 1

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given points are   P(-1,-1,-1) and Q(-5,7,3)

Let (x₁ , y₁ , z₁) =  P(-1,-1,-1)

Let (x₂ , y₂ , z₂) =   Q(-5,7,3)  

Parametric equation of the line passing through the points  (x₁ , y₁ , z₁) and      (x₂ , y₂ , z₂)

\frac{x-x_{1} }{x_{2}-x_{1}  }  = \frac{y-y_{1} }{y_{2}-y_{1}  } = \frac{z-z_{1} }{z_{2}-z_{1}  } = t

\frac{x-(-1)}{-5-(-1)} = \frac{y -(-1)}{7-(-1)} = \frac{z-(-1)}{3-(-1)}  = t

\frac{x-(-1)}{-4} = \frac{y -(-1)}{8} = \frac{z-(-1)}{4}  = t

Equating  each term

             \frac{x+1}{-4} = t

     ⇒  x + 1 = - 4 t

    ⇒   x = - 4 t -1

          \frac{y +1}{8}  = t  

         y + 1 = 8 t

     ⇒  y  = 8 t - 1

        \frac{Z+1}{4} =1

  ⇒  z +1 = 4t

   ⇒ z = 4t -1

<u><em>Final answer</em></u><em>:</em>-

parametric equations for the line through point P(-1,-1,-1) and Q(-5,7,3)

are

x = -4t - 1; y = 8t - 1; z = 4t - 1

                               

3 0
3 years ago
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