What are the types of transformations in 8th grade Pre-Algebra?
Answers
Rotation: transformation that is performed by spinning the object around a fixed point known as the center of rotation.
Reflection: a flip of an object over a line
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Are the graphs of x-4y=2 and 4x+y=8 perpendicular?
Answers
(+4x-4y=12)
-----------------
7x = 14
-----------------
7
X=2
3(2)+4y=2
6+4y=2
4y=-4
Y=-1.
Or you can plug x into the other equation.
4(2)-4y=12
8-4y=12
-4y=4
Y=-1.
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Answer:
A.
3x + 3y = 0
7x − y = 8
Step-by-step explanation:
Given
3x + 3y = 0
-4x + 4y = -8
Required
Find the equivalent
To solve for the equivalent we simply solve for x and y in the given equation.
Subtract 3x from both sides in 3x + 3y = 0
3x - 3x + 3y = 0 - 3x
3y = -3x
Multiply both sides by ⅓
⅓ * 3y = -3x * ⅓
y = -x
Substitute -x for y in -4x + 4y = -8
-4x + 4(-x) = -8
-4x -4x = -8
-8x = -8
Multiply both sides by -⅛
-⅛ * -8x = -⅛ * -8
x = 1
Recall that y = -x
y = -1
So, we have that x = 1 and y = -1
We'll substitute these values in the list of options;
A.
3x + 3y = 0
7x − y = 8
7(1) - -(1) = 8
7 + 1 = 8 ----- This is equivalent
B.
3x + 3y = 0
−7x − y = 8
-7(1) - (-1) = 8
-7 + 1 = 8
-6 ≠ 8 .... This is not an equivalent expression
C.
3x + 3y = 0
−7x + 7y = 8
-7(1) + 7(-1) = 8
-7 -7 = 8
-14 ≠ 8 .... This is also not an equivalent expression
D.
3x + 3y = 0
-4x + 7y = 8
-4(1) + 7(-1) = 8
-4 -7 = 8
-11 ≠ 8 -_- This is also not an equivalent expression
Answer:
A is the correct one
Step-by-step explanation:
Answers
Answers
Answer:
75
Step-by-step explanation:
V=S/T(the formula)
V= 375/5
V=75