True or False? Using the quadratic formula allows you to find the x-intercepts of a quadratic equation.
1 answer:
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Answer:
26 miles
Step-by-step explanation:
Given: 24 miles drive to north.
10 miles drive to east.
Driving pattern form a right angle triangle, which has three leg including straight line distance from starting point (hypotenous).
Now, using Pythogorean theoram to find straight line distance from starting point.
h²= a²+b²
Where, h is hypotenous
a is opposite leg
b is adjacent leg.
⇒h²=
⇒
⇒
Taking square root on both side, remember; √a²= ±a
⇒
∴
Ignoring -26 as distance cannot be negative.
Hence, 26 miles is the straight line distance from starting point.
Answer:
2) (-∞, 17]
Step-by-step explanation:
The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.
The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.
y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17
The range of the function is (-∞, 17].
