Explanation:
Step-by-step clarification:
Referring to step 6
(b² — 4ac) / 4a² = (x + b/2a)²
The mistake in the question is that it should be (x + b/2a)²
According to step 7
±√(b² —4ac) /2a = x + b/2a
The error in the question is that it should be divided by 2a, not 1a.
1. The transition from step 6 to step 7 involves taking the square roots of both sides
(b² — 4ac) / 4a² = (x + b/2a)²
Taking the square of both sides
√(b²—4ac) / √4a² = √(x + b/2a)²
√(b²—4ac) / 2a = x + b/2a
This forms step 7 correctly.
Next, subtracting b/2a from both sides
√(b²—4ac) / 2a - b/2a= x + b/2a -b/2a
√(b²—4ac) / 2a — b/2a = x
(√(b²—4ac) — b)/2a = x
x = [—b ± √(b²—4ac)] / 2a
This gives the desired formula.
The discriminant is D = b²—4ac.
Answer:
0.40 feet
Step-by-step explanation:
For the first scenario, a 50-foot building casts a shadow of 1 foot. Let the angle of elevation of the sun from the shadow be denoted as θ.
Then:
Tan θ =
Tan θ =
Tan θ = 50
⇒ θ = 50
= 88.8542
=
The elevation angle is roughly .
For a 20-foot pole,
Tan θ =
Tan =
x =
= 0.4015
= 0.40 feet
The length of the pole's shadow is 0.40 feet.
Answer:
refer to the method
Step-by-step explanation:
Keep in mind that
To change feet to inches, multiply by 12
To convert minutes into seconds, multiply by 60
we have