The length of BC is 
.
Solution:
Given ABC is a right triangle.
AC is the hypotenuse and BD is the altitude.
AB and BC are legs of the triangle ABC.
AC = 16 and DC = 5
<u>Leg rule of geometric mean theorem:</u>
Do cross multiplication.
Taking square root on both sides.
square and square roots get canceled, we get
The length of BC is .
AB = BC
3x-4=5x-10
-4=2x-10
6=2x
3=x
AB = 3x-4
AB = 3 (3)-4
AB = 9-4
AB =5
Therefore, AB is 5.
BC = 5x-10
BC = 5(3)-10
BC = 15-10
BC= 5
Answer:
DISTANCE=RATE*TIME. THEREFORE
X=3.6*1/6+4.2*1/6 (1/6 HOUR=10 MIN)
X=.6+.7
X=1.3 KM IS HOW FAR THEY WIL BE APART AFTER 10 MINUTES.
Step-by-step explanation:
Using product rule;
f(x)=(1+6x²)(x-x²)
f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1
Solving the bracket first;
f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4
f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1
