Answer: y = 2x
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
y = 2x - 8
Comparing with the slope intercept form, slope = 2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3,-6) is 2
To determine the intercept, we would substitute m = 2, x = - 3 and
y = - 6 into y = mx + c. It becomes
- 6 = 2 × - 3 + c
- 6 = - 6 + c
c = - 6 + 6 = 0
The equation becomes
y = 2x
Answer:
You will have 40 mins before 100%
Step-by-step explanation:
For this case, the first thing we must do is define variables.
We have then:
d: number of dimes
q: number of quarters
We now write the system of equations that models the problem.
We have then:
He has a total of 30 coins:

The toal value of Kyles coins is $ 4.80:

Answer:
A system of equations that can be used to find the number of dimes, d, and the number of quarters, q, kyes has is:


Answer:
1 hour
Step-by-step explanation:
J = 50 mph by 2 hours
S = 50 mph by 1 hour
2-1 = 1
Given:
Vertices of a parallelogram are C(-5,5), D(2,5), E(-1,-1), and H(-8,-1).
P is the intersection point of diagonals CE and DH.
To find:
The coordinates of P.
Solution:
We know that, diagonals of a parallelogram always bisect each other. It means the intersection point of the diagonal is the midpoint point of both diagonals.
We can find the midpoint of either diagonal CE or diagonal DH to get the coordinates of intersection point of diagonals, i.e. P.
So, point P is midpoint of CE. So,





Therefore, the coordinates of point P are (-3,2).