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Tanzania [10]
3 years ago
14

Suppose y varies directly with x. If y=-20 when x=2, find y when x=14

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
8 0
\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=-20\\
x=2
\end{cases}\implies -20=k2\implies \cfrac{-20}{2}=k
\\\\\\
-10=k\qquad therefore\qquad \boxed{y=-10x}
\\\\\\
\textit{when x = 14, what is \underline{y}?}\qquad y=-10(14)
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What is the probability that a point chosen at random in the regular hexagon lies in the shaded region? A 1/3 B 2/5 C 1/2 D 2/3
kondaur [170]
Answer: option A) 1/3

Justification:

1) The probability that a point chosen at random <span>in the regular hexagon lies in the shaded region is equal to:

  area of the shaded region
---------------------------------------
     area of the hexagon

2) The hexagon is formed by 6 equal triangles and the shaded area is formed by 2 of those triangles.

3) Therefor,naming x the area of one triangle, the the above fraction is equal to:

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And that is the answer: 1/3
</span>
8 0
3 years ago
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2.5/6 = h/9 h=? What does this mean
omeli [17]

Answer:

h = 3.75

Step-by-step explanation:

Step 1: Write equation

2.5/6 = h/9

Step 2: Solve for <em>h</em>

  1. Cross multiply: 22.5 = 6h
  2. Divide both sides by 6: 3.75 = h
  3. Rewrite: h = 3.75

Step 3: Check

<em>Plug in h to verify it's a solution.</em>

2.5/6 = 3.75/9

0.416667 = 0.416667

5 0
3 years ago
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