Answer:
<em>She needs to add no fertilizer, option A)</em>
Step-by-step explanation:
<u>Equation of a Line:</u>
According to the conditions of the question, being x the ounces of fertilizer Olivia adds to the soil, and y the number of blooms each rose bush has, the relation between them is
It's bee required to compute the value of x such that the roses have 4 blooms, thus
Solving for x
This means she needs to add no fertilizer, option A)
Answer:
The distance between them after 30 minutes is 6.5 km.
Step-by-step explanation:
Speed =
Sarah's speed = 6 km/hr = 1.6667 m/s
Emily's speed = 10 km/hr = 2.7778 m/s
The measure of angle between their bearings =
After 30 minutes (1800 seconds);
distance = speed x time
Sarah would have covered a distance = 1.6667 x 1800
= 3000 m
= 3 km
Emily would have covered a distance = 2.7778 x 1800
= 5000 m
= 5 km
The distance between them, a, can be determined by applying the cosine rule;
=
+
- 2bcCos A
= +
-2(5000 x 3000) Cos 105
= +
-2(5000 x 3000) x (-0.2588)
= 2.5 x + 9 x
+ 7764000
= 41764000
a =
= 6462.5073
a = 6462.5 m
The distance between them after 30 minutes is 6.5 km.