Answer:
Step-by-step explanation:
The intersection is the point where two equations meet. It is calculated by substituting terms into the equations involved. For the given systems of equation, calculations are as follows:
2x - y = 6
y = 2x - 6
We substitute the equation above to the second equation.
5x + 10y = –10
5x + 10( 2x - 6 )= –10
Simplifying,
5x + 20x - 60 = -10
25x = 50
x = 2
Therefore, the intersection has the value of x equal to 2.
Answer:
C. x - 4
Step-by-step explanation:
The best way to do this is to first take out GCF
6(x² - x - 12)
Then we factor
6(x - 4)(x + 3)
We can now see our answer.
Answer:
The answer is 20 feet
Step-by-step explanation:
We know that her apartment sketch is 6 by 4 inches.
If the 6 inch side is actually 30 feet and 6 goes into 30 5 times, we should multiply 4 by 5 to get proportionate answers.
Therefore her apartment is 20*30 feet
Hope this helps
Answer:
(3.) x = 45
Step-by-step explanation:
Because the lines are parallel and cut by the same line, the angles within are equal as well.
Which means that...
Angle GE = Angle EFD
Therefore (2x-30) = (x + 15)
2x - 30 = x + 15
+30 +30 (add 30 to both sides to get rid of the -30)
2x = x + 45
-x -x (subtract x from both sides to get rid of the single positive x)
x = 45
