Unfortunately, I can't do it on a graph here, but I will do it algebraically.
The solution on the graph will be the point of intersection of the two lines representing the equations.
y + 2.3 = 0.45x . . . . . (1)
-2y = 4.2x - 7.8 . . . . . (2)
From (2), y = 3.9 - 2.1x
substituting for y in (1), we have:
3.9 - 2.1x + 2.3 = 0.45x
2.55x = 6.2
x = 6.2/2.55 = 2.4
y = 3.9 - 2.1(2.4) = 3.9 - 5.04 = -1.2
Therefore, solution is (2.4, -1.2)
Answer:
Check the answers in the tables below
Step-by-step explanation:
First I will explain the steps done in each column
Column 1: Multiply 2 numbers
Column 2: Split the terms inside the bracket in such a way that adding or subtracting those numbers we get the same number.
Column 3: Using distributive property a(b+c) = (ab)+(ac)
Column 4: Solving the expression by adding or subtracting the terms
1)
Given: Data in Column 2 100(0.04+0.06)
Column 1 Column 2 Column 3 Column 4 Value
100(0.1) 100(0.04+0.06) 100.0.04+100.0.06 4+6 10
2)
Given: Data in column 3 
Column 1 Column 2 Column 3 Column 4 Value
4+2 8
3)
Given: Data in Column 4 9+12
Column 1 Column 2 Column 3 Column 4 Value
3(7) 3(3+4) 3(3)+3(4) 9+12 21
4)
Given: Data in Column 4 24-16
Column 1 Column 2 Column 3 Column 4 Value
4(2) 4(6-4) 4.6-4.4 24-16 8
X - 6 1/3 < = 1 1/2 ....turn to improper fractions
x - 19/3 < = 3/2 ....add 19/3 to both sides
x < = 3/2 + 19/3 ...common denominator is 6
x < = 9/6 + 38/6
x < = 47/6 = 7 5/6....first answer choice
Given that △XYZ is mapped to △X'Y'Z' using the rules (x, y)→(x+5, y−3) followed by (x, y)→(−x, −y) .
We know that (x,y) => (x+h,y+k) type operation represents translation so rule (x, y)→(x+5, y−3) will cause translation.
We know that (x,y) => (-x,-y) type operation represents rotation about origin so rule (x, y)→(−x, −y) will cause rotation.
So combining both results and comparing with given choices. we find that only 1st choice "△XYZ is congruent to △X'Y'Z' because the rules represent a translation followed by a rotation, which is a sequence of rigid motions."
is correct.
Answer:
3/5
Step-by-step explanation:
You divide 1 and 3. Keep the denominator since it is the same number
Hope this was helpful, Have a Great Day!!
