Answer:
x =-1
y =-1
Step-by-step explanation:
to solve this system of equation, using substiution method
3x-4y=1 ........................ equation 1
x=2y+1 ............................ equation 2
subbstitute for x into equation 1
3x-4y=1 ........................ equation 1
3(2y + 1) - 4y = 1
6y + 3 -4y = 1
2y + 3 = 1
collect the like terms
2y = 1- 3
2y= -2
divide both sides by the coefficient of y which is y
2y/2 = -2/2
y = -1
put the value of y =-1 into equation 2
x=2y+1 ............................ equation 2
x = 2(-1) + 1
x = -2 + 1
x = -1
therefore x =-1 y = -1
Answer:
See below
Step-by-step explanation:
Both horses travel 0 miles in 0 minutes. We can see this on the graph where both lines start at the 0 in the bottom left corner. For the purpose of writing the equations this also shows us that the y-intercept is 0. In a slope-intercept equation, y=mx+b, that number is the b. b is zero in both equations, so we don't need to write anything for that.
For horse A, we can see on the graph that at 4 minutes, horse A has traveled 1 mile. Also, confirming this rate, at 8 minutes, it went 2 miles. This will help us find the rate. The rate will be the number we fill in for the m in the y=mx+b equation. Horse A goes 1mile every 4 minutes. That is a rate of 1/4 miles per minute. So Horse A's equation will be
y = (1/4)x You can make it more *intuitive* possibly by using m for miles and t for time instead, like this:
m = (1/4)t
Horse B is a little bit faster, and you can see this bc the line is a little bit steeper. It goes 2 miles in 5 minutes (confirm you can see it goes 4 miles in 10 minutes)
So Horse B's equation is
y = (2/5)x
or miles = (2/5)time
Mathematically, the equations are the same whether you use x,y or m,t
If Horse A runs for 12 minutes then it will run
miles = (1/4)minutes
miles = (1/4)(12)
miles = 3
If Horse B runs for 12 minutes, then it will run
miles = (2/5)minutes
miles = (2/5)12
miles = 4.8
It examines the knowledge of the basic calculation. According to the topic, parallelogram ABCD & AB//CD
so AB=CD
Since MAB=-5 so MCD = MAB=-5 then the answer might be “-5”
Answer:
x = -1
Step-by-step explanation:
Given:
Solve for x, When:
Step by step:
ANSWER
EXPLANATION
The polar form of a complex number ,
is given by:
where
The given complex number is:
And
Hence the polar form is :