suppose x and y vary inversely and y=10 when x=4. write a function that models the variation then find y when x =90
1 answer:
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Answer:
y= -1/4x + 3
Step-by-step explanation:
y-y1 = m(x-x1)
(-8 {x1}, -5 {y1}, -1/4 [m] )
We'll then replace the letters with the available figures.
y-[-5] = -1/4 (x-[-8])
We are made to know that minus + minus= plus
Minus + plus= Minus
Minus x minus = plus
minus x plus = minus
Therefore, the mathematical setting of this question becomes,
y+5 = -1/4 (x+8)
Multiply everything in the bracket with the outside value
-1/4 x X = -1/4x
-1/4 x 8 = -2
The mathematical setting then becomes,
y+5 = -1/4x + -2 (<em>Note: plus + minus = minus</em>)
so, it becomes
y+5 = -1/4x - 2
The equation is supposed to look like this, y= mx + b
Therefore we add +5 to both sides to cancel out
y+5 = -1/4x - 2
+5 +5
+5 cancels out +5 which makes the setting,
y= -1/4x - 2 +5 (<em>-2+5 goes around to become 5-2= 3</em>)
The expression now looks like this
<u>y= -1/4x +3 which is the final answer!</u>
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Answer:
and
Step-by-step explanation:
we know that
In the diagram
Triangles GRT and GEA are similar by AA Similarity Postulate
Remember that
If two figures are similar, then the ratio of its corresponding sides is proportional
so
we have
substitute
therefore