Answer:
(3,6)
Step-by-step explanation:
Collect like terms
y -5x = -9
y + 2x = 12
Using elimination method
Subtract equation 2 from equation 1
y - 5x = -9
y + 2x = 12
---------------
0. -7x = -21
Divide both sides by -7
-7x = -21
---- -----
-7 -7
x = 3
Substitute x=3 into equation 1
y = 5(3) - 9
y = 15 - 9
y = 6
Solution is (x,y) = (3,6)
Answer:
PM = 58
Step-by-step explanation:
The question tells us that the full line has a value of 6x+56. The midpoint divides this line into equal pieces. We are also given the value of half (MQ) of the line (5x+8). By subtracting 5x+8 from 6x+56, we can figure out the value of the other half of the line (PM).
This gives us the expression for PM: x+48
Now, since these are both the two parts of the midpoint, by definition, we know they're equal.
You equal both equations and get x=10
You plug in 10 as x in the expression we got for PM (10+48), which gives us the value 58.
Answer: Two numbers that are greater than 32.46 and less than 32.56 are 32.48 and 32.52. (Answers may vary, these are just two examples.) The difference between the two are 0.04. (once again, answers may vary.)
Answer:
1.) 5
2.) 14
Step-by-step explanation:
As given,
the expression - 3x + 2
1.)
Evaluate the expression when x is 1
⇒ 3x + 2 = 3(1) + 2 = 3+2 = 5
2.)
Evaluate the expression when x is 4
⇒ 3x + 2 = 3(4) + 2 = 12+2 = 14