1) A translation 2 units right
2) A reflection over the x-axis
Answer:
y = 2x + 2.5
Step-by-step explanation:
To begin, we start with the equation 2y - 4x = 5.
We will add 4x to both sides to move the x term to the right side of the equation, giving us:
2y - 4x + 4x = 4x + 5
2y = 4x + 5
Next, we should divide by 2 to cancel out the coefficient on the y-term and isolate it on the left side of the equation:
2y/2 = 4x/2 + 5/2
y = 2x + 5/2
Therefore, your answer is y = 2x + 5/2 or y = 2x + 2.5.
Hope this helps!
Length of the original ribbon = 2/3 yard
Length of the ribbon in which the actual ribbon has to be cut = 1/12 yards
The above information's are already given in the question. It is required to find the number of pieces that the ribbon can be cut with the length that is already mentioned.
Then
Number of pieces that will be there = (2/3)/(1/12)
= (2 * 12)/3
= 24/3
= 8
So the actual ribbon can be cut into 8 pieces and each piece will have a length of 1/12 yards. Hopefully the procedure for doing this problem is clear to you. this is the easiest method for attempting these kind of problems.
Answer:
x= - 3.5
y= - 6.5
Step-by-step explanation:
-3x+y = 4 equation 1
-9x + 5y = -1 equation 2
and
equation 1 can be written as
y = 4+ 3x
so put this in equation 2
-9x + 5 ( 4+ 3x) = -1
-9x +20 +15x = -1
6x = -21
X= -21 ÷ 6
X = - 3.5
so put this value of x in equation 1 to find value of y
-3 ( -3.5) + y = 4
10.5 + y = 4
y = 4 - 10.5
Y = - 6.5
