Answer:
His average speed for the rest of the journey was of 48mph.
Step-by-step explanation:
We use the following relation to solve this question:
In which v is the velocity, d is the distance and t is the time.
First 32 miles at an average speed of 64mph.
So the time for these 32 miles is:
Rest of the trip:
200 - 32 = 168 miles in 4 - 0.5 = 3.5 hours. So the average speed is of:
His average speed for the rest of the journey was of 48mph.
Answer:
B:3(x-1)+2x=3(x-1)+2
Step-by-step explanation:
Aanya wrote the four equations that are shown below.
We need to check each equation and see which equations have same coefficient of x terms on both sides of equation.
A: 6x-8=4(x-2)+2x
Distribute 4 inside the parenthesis
6x-8=4x- 8+2x
We know 4x + 2x is 6x. So, both sides we have 6x. Hence no solution for this equation.
B:3(x-1)+2x=3(x-1)+2
Distribute 3 inside the parenthesis
3x - 3 + 2x = 3x - 3 + 2
5x - 3 = 3x- 3 + 2
Coefficient of x are not same on both sides. So this equation has exactly one solution.
C:7x+2-x=6(x+2)
Distribute 6 inside the parenthesis
6x + 2= 6x + 12
Both sides we have 6x. Hence no solution for this equation.
D:4(x+3)+x=5(x+1)+7
Distribute 4 and 5 inside the parenthesis
5x + 12= 5x + 5+ 12
Both sides we have 5x. Hence no solution for this equation.
The answer is 9 shown below a b c triangle shown below ⬇️
Answer:
1. y = 3x - 3
2. y = -2 1/2x + 10
10/-4 = -2 1/2 is the slope
3. undefined
4. y = x - 4
5. y = x - 5
6. 6x + 2y = 4 and -3y = 9x + 12
7. -3x + y = 7, y = 3x + 1, and y =3x
8. y = 2x + 5
9. y = 1/4x - 4
Answer:
y = 4/5x-18/5
Step-by-step explanation:
First we find the slope from the given points (-3,-6) (2,-2)
m = (y2-y1)/(x2-x1)
m = (-2 - -6)/(2 - -3)
(-2+6)/( 2+3)
4/5
The slope intercept form of an equation is
y = mx +b where m is the slope and b is the y intercept
y = 4/5 x +b
Substitute a point into the equation to find b
-6= 4/5(-3) +b
-6= -12/5 +b
Add 12/5 to each side
-6 +12/5 = -12/5 +12/5 +b
Get a common denominator
-30/5 + 12/5 = b
-18/5 =b
The equation is
y = 4/5x-18/5
