Answer:
90 degrees
Step-by-step explanation:
16+(-3)-3/7j-5/7j+4
An expression relating the distance between the car and motorcycle after t is 52t
Speed of motorcycle = 20 mph
Speed of car = 48 mph
Distance apart after, t hours :
Recall :
Distance traveled = Speed × time
Hence,
Distance traveled by car after t hours
Distance traveled by Motorcycle after t hours
Since, the direction followed by the car and motorcycle forms a right angle, the distance apart after t hours can obtained using Pythagoras :
Recall from Pythagoras :
a² = b² + c²
Where, a = hypotenus
b and c = opposite and adjacent
Therefore, distance apart :
d² = (48t)² + (20t)²
d² = 2304t² + 400t²
d² = 2704t²
Take the square root of both sides :
d = √2704t²
d = 52t
Therefore, the distance between the car and motorcycle after t hours is : 52t
Learn more : brainly.com/question/8283882
6z−10w=8
Answer:
if your looking for z it is 5/8k+2.375
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please, include the instructions.
I'm assuming you want to solve this system of linear equations for z and w, assuming that k is an unknown constant.
Use the method of elimination by addition and subtraction. To eiiminate w, multiply all four terms of the first equation by 10, obtaining:
10 z + 10w - 30 = 10k
6z - 10 w = 80
Then 16z - 30 - 80 = 10k, or
16z -110 = 10k, Simplifying this, we get:
10(k + 11)
z = ---------------
16
Substituting this expression for z into the first equation, we get:
(10/16)(k + 11) + w - 3 = k. We must solve this for w:
-(10/16)(k + 11) + w - 3 = k), or
-(10/16)(k + 11) - w + 3 = -k
Then -(10/16)(k + 11) + 3 + k = w
and so the solution, in terms of the unknown constant k, is
10(k + 11)
( --------------, -(10/16)(k + 11) + 3 + k )
16