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2 answers:
<h2><u>DIRECT VARIATION</u></h2>
» Variables y and x have a proportional relationship, where y = 9 when x = 3. What is the value of x when y = 36? Enter your answer in the box.
<h3>Answer:</h3>— — — — — — — — — —
<h3>Steps-by-step explanation:</h3>Since variables y and x have a proportional relationship, then the equation is in the form y=kx.
<h3>Given: y = 9 when x = 3.</h3>First, we need to find the constant of variation (k) by substituting the given to the equation of variation.
The constant of variation (k) is 3. So, find the value of x when y = 36.
Hence the unknown value (x) is 12.
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Answer:
13 square units
Step-by-step explanation:
You <em>could</em> calculate the length of each side using Pythagorean theorem, then use Heron's formula to find the area. But there's an easier way: find the area of the rectangle that contains the triangle, and subtract the areas of the smaller triangles in the corners.
The area of the rectangle is 4 × 7 = 28.
The area of the upper left triangle is ½(2)(4) = 4.
The area of the upper right triangle is ½(3)(5) = 7.5.
The area of the lower right triangle is ½(1)(7) = 3.5.
So the area of the triangle is:
28 − 4 − 7.5 − 3.5 = 13
