Answer:
8i and -8i
Step-by-step explanation:
Move everything into the left-hand side to get a quadratic equation:
Solve for x using the quadratic formula:
The two imaginary solutions for the equation are 8i and -8i.
(2,4) is located in QUADRANT I
(0, -3) is located in the y-axis
(-1, 1/2) is located in Quadrant II
Answer:
Amanda will catch up Ben after 0.6 hours.
Step-by-step explanation:
Amanda begins jogging along the same path at 7 mi/h.
This means that Amanda's position, after t hours, is given by:
Ben starts walking along a path at 2 mi/h.
Amanda leaves after one and a half hour, which means that Ben will be at position 2*1.5 = 3. So Ben's position after t hours is given by:
How long (in hours) will it be before Amanda catches up to Ben?
This will happen when:
So
Amanda will catch up Ben after 0.6 hours.
Answer: 48
Step-by-step explanation:
We have to write a system of equations:
The difference between two numbers is 29. Difference means one number (y) minus another number (x) equals 29.
y-x =29
If five times the smaller ( 5 times x , x is the smaller number because is the number to subtract) is subtracted from twice the larger, (2y)
The result will be one
2y-5x =1
Now, we have to multiply the first equation by 2, and subtract the second equation to the first one:
2y -2x = 58
-
2y-5x =1
__________
3x =57
Solve for x:
x =57/3 =19
Replacing the value of x on any equation:
y-x =29
y-19 =29
y = 29+19 = 48
48 (y)> 19(x)
Feel free to ask for more if needed or if you did not understand something.
Answer:
The slope is -3/4 or -0.75
Step-by-step explanation:
You can solve this using the slope of a line formula:
m = slope
= coordinates of first point in the line
= coordinates of second point in the line
Now all you have to do is plug your numbers in and solve!