Answer:
<h2>d(P, Q) = 6</h2><h2>d(Q, R) = 5</h2>
Step-by-step explanation:
The formula of a distance between two points A(a) and B(b):
<h3>d = |b - a|</h3>
We have P(x + 3), Q(x- 3), R(x + 2).
Substitute:
d(P, Q) = |(x - 3) - (x + 3)| = |x - 3 - x - 3| = |-6| = 6
d(Q, R) = |(x + 2) - (x - 3)| = |x + 2 - x - (-3)| = |2 + 3| = |5| = 5
Answer:
30.25 in decimal form
30 1/4 in fraction form
Step-by-step explanation:
12(3) − 3(1/3) / 4(3)− (5) = 30.25 or 30 1/4
Answer:
x = 4
Step-by-step explanation:
DE is parallel to AC and intersects the other 2 sides. It divides those sides proportionally, that is
= 
, thus
= 
( cross- multiply )
2(10 - x) = 3x ← distribute left side
20 - 2x = 3x ( subtract 3x from both sides )
20 - 5x = 0 ( subtract 20 from both sides )
- 5x = - 20 ( divide both sides by - 5 )
x = 4
