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<em>Complete Question:</em>
<em>You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year. </em>
<em>The initial heights are shown. </em>
Write a system of linear equations that represents this situation.
Answer:
Step-by-step explanation:
Given
Spruce Tree (s):
(yearly)
Hemlock Tree (h):
(yearly)
Required
Represent as system of linear equations
Let the number of years be x.
In both cases, the equation can be formed using:
For Spruce Tree (s):
For Hemlock Tree (h):
<em>Hence, the equations are </em><em> and </em>
<em></em>
Answer:
15cm
Step-by-step explanation:
Theorem: All tangents to a circle from the same point are equal.
Sine E, F, G and H are points of Tangency, by the theorem above:
- EB=BF
- FC=GC
The diameter line EC divides the Isosceles Trapezoid into two equal parts.
Therefore:
- EB=10/2=5cm
- GC=20/2=10cm
We then have by the equality above that:
- BF=5cm
- FC=10cm
BC=BF+FC
=5+10
=15cm
