Slope for (x₁, y₁) and (x₂, y₂): (6, 2) and (7, 4)
Slope: (y₂ -y₁) / (x₂ -x₁)
Slope: ( 4 - 2) / (7 - 6) = 2/1
<span>Slope = 2/1 = 2
Option D</span>
8/10
4x2=8
5x2=10
this is how you know they are equal
Answer:
The speed of the truck is 42 mph
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
Let
s -----> the speed in miles per hour
d ----> the distance in miles
t ----> the time in hours
step 1
Find out the distance traveled by the car at 7:00 P.M
we have
substitute the values
step 2
Find out the speed of the truck
we know that
At 7:00 P.M the distance is equal to
substitute
These problems are based on the Pythagorean Theorem. The Pythagorean Theorem is a^2 + b^2 = c^2. If the two sides are equal, the triangle is a right triangle. If c^2 is less, the triangle is acute. If c^2 is more, the triangle is obtuse.
Obtuse: c^2 > a^2 + b^2
Acute: c^2 < a^2 + b^2
Right: c^2 = a^2 + b^2
#7 --- Obtuse
21^2 ___ 8^2 + 15^2
441 ___ 64 + 225
441 > 289
#8 --- Right
20^2 ___ 12^2 + 16^2
400 ___ 144 + 256
400 = 400
#9 --- Acute
6^2 ___ 4^2 + 5^2
36 ___ 16 + 25
36 < 41
Hope this helps!