Subsitution
2y-x=5
minus 2y both sides
-x=5-2y
times -2 both sides
x=2y-5
subsitute 2y-5 for x in other equation
(2y-5)²+y²-25=0
expand
4y²-20y+25+y²-25=0
5y²-20y=0
factor
5y(y-4)=0
set to zero
5y=0
y=0
y-4=0
y=4
subsitute back
for y=0
x=2y-5
x=2(0)-5
x=-5
one solution is (-5,0)
for x=4
x=2y-5
x=2(4)-5
x=8-5
x=3
one solution is (3,4)
the 2 soltuions are (-5,0) and (3,4)
Answer:
x=4.4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
14x+9=10.1
Step 2: Subtract 9 from both sides.
14x+9−9=10.1−9
14x=1.1
Step 3: Multiply both sides by 4.
4*(14x)=(4)*(1.1)
x=4.4
Answer:
Step-by-step explanation:
Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.
Given:
Mason throws a coin 3 times.
The outcome of each throw is either Heads or Tails.
To find:
The list of all the possible outcomes of the 3 throws.
Solution:
Let H represents heads and T represents tails.
For each throw we have 2 choices either H or T.
For three throws the total number of possible outcomes is
Now, list the possible outcomes as shown below.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
Therefore, the list of 8 possible outcomes is HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.
It is 0 because y (sin) divided by x(cos) is 0
