Answer: y= 5/4 + 3/2
Step-by-step explanation: Your equation is y=mx +b. You have to subtract the second y from the first y, and the second x from the first x to find the slope. This equation would be 4-(-1) over 2-(-2). So your slope will be 5/4. Now to find the y-intercept you can choose either (x,y) point. For example if you are using (2,4) you would do b= 4-(5/4)(2). b=3/2.
Answer:
No solution.
Step-by-step explanation:
The equation 2x + 8 = 2(x + 5) has no solution as we see if we simplify it:
2x + 8 = 2x + 10
2x - 2x = 10 -8
0 = 2 which is absurd.
Answer:
B
Step-by-step explanation:
Volume of the figure = Volume of cylinder + Volume of cone
Note: A cone having the same radius and height as cylinder have a volume (1/3) of cylinder
Volume of cone=(1/3)*96=32
Volume of the figure = 32+96=128
Answer:
Option D (4, -5)
Step-by-step explanation:
This question can be solved by various methods. I will be using the hit and trial method. I will plug in all the options in the both the given equations and see if they balance simultaneously.
Checking Option 1 by plugging (-4, -5) in the first equation:
-2(-4) + 6(-5) = -38 implies 8 - 30 = -38 (not true).
Checking Option 2 by plugging (-5, 4) in the first equation:
-2(-5) + 6(4) = -38 implies 10 + 24 = -38 (not true).
Checking Option 3 by plugging (1, -6) in the second equation:
3(1) - 4(-6) = 32 implies 3 + 24 = 32 (not true).
Since all the options except Option 4 have been ruled out, therefore, (4,-5) is the correct answer!!!
Answer:
the answers to this are x= 1 and y= 9