Answer:
-13x^2 + 6x + 11
Step-by-step explanation:
Just subtract the numbers that are similar (i.e. -5x^2 - 8x^2)
Answer:
y < 3/8x-4
Step-by-step explanation:
Answer:
y=64
Step-by-step explanation:
Answer:
x = 15
Step-by-step explanation:
FD and AC are parallel because both are perpendicular to EB. Angle EDF and Angle DCA are congruent because they are corresponding angles. The measure of Angle DCA is also 3x because congruent angles have the same measure.
Now consider Triangle ACD. Because the sum of all three measures of the angles in a triangle add up to 180°.
x + 8x + 3x = 180°
12x = 180°
12x/12 = 180/12
x = 15
Answer:
The two cars will be almost 188 miles far from each other.
Step-by-step explanation:
Travel Time for Car 1 = t = 3.5 hours
Travel time for Car 2 = t-1 = 3.5 - 1 = 2.5 hours
Average speed of car 1 = 40 mph
Average speed of car 2 = 50 mph
Distance traveled by Car 1 = 40*3.5 = 140 miles
Distance Traveled by Car 2 = 50*2.5 = 125 miles
As both the roads are at a 90 degree angle. The path of the two cars and the joining line of their final position forms a right angle triangle where:
altitude = a = 140
base = b = 125
Distance of cars after 3.5 hours = c = ?
According to Pythagoras theorem:
c^2 = a^2 + b^2
c^2 = 140² + 125²
c² = 19600+15625
c = √35225
c = 187.68
Almost 188 miles.
