Amy is helping plan her school's new basketball court. The west edge of the basketball court is located on the line y = 2x + 5.
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Answer:
Step-by-step explanation:
The ratio of the side lengths (AB) and (BC) is given. One is also given an expression for the side lengths of each of these sides. Set up a proportion to describe this scenario, then solve using cross products;
Substitute,
Cross products,
Inverse operations,
3 RIGHT TRIANGLES
1 big right triangle is divided into 2 smaller ones. Medium and small.
<span> a.How far is the spot on the beach from the parking lot? </span>Medium triangle: long leg = 32 m ; short leg = x
Small triangle: long leg = x ; short leg = 18m
32/x = x/18
32*18 = x*x
576 = x²
√576 = √x²
24 = x
Parking lot to the beach is 24 meters.
<span>b. How far will he have to walk from the parking lot to get to the refreshment stand?</span>Use Pythagorean theorem:
Medium triangle: long leg = 32 m ; short leg = 24 m ; hypotenuse = ?
32²+ 24² = c²
1024 + 576 = c²
1600 = c²
√1600 = √c²
40 m = c
Parking lot to refreshment stand is 40 meters.
For a function of , the average rate of change can be found as follows:
So, this problem asks for the Average Rate of Change of from
to
. In this way, we need to find
. As you can see above, we have the graph of
, so we can find these values. Thus, from the graph:
Therefore: