Given the Vertices of ΔABC are A (2, -5,) B (-4, 6) and C (3, 1), find the vertices following each of the transformations FROM THE ORIGINAL vertices :(I honestly have no idea what to do and I really need help with this one)
Answers
Answer:
I. A' = (5,-5), B' = (-1,6), C' = (6,1)
II. A' = (5,-11), B' = (-1,0), C' = (6,-5)
III. A' = (-5,-2), B = (6,4), C' = (1,-3)
Step-by-step explanation:
We are given the vertices of ΔABC as A = (2,-5), B = (-4,6) and C = (3,1).
I. It is required to 'reflect the triangle about the line x= 3'.
This rule changes (x,y) to (x+3,y).
So, the new vertices are given by,
A' = (2+3,-5) = (5,-5)
B' = (-4+3,6) = (-1,6)
C' = (3+3,1) = (6,1)
II. It is required to 'translate the triangle 3 units to the right and 6 units down'.
This rule changes (x,y) to (x+3,y-6).
So, the new vertices are given by,
A' = (2+3,-5-6) = (5,-11)
B' = (-4+3,6-6) = (-1,0)
C' = (3+3,1-6) = (6,-5)
III. It is required to 'rotate the triangle by 90° about the origin counter-clockwise'.
This rule changes (x,y) to (y,-x).
So, the new vertices are given by,
A = (2,-5) implies A' = (-5,-2)
B = (-4,6) implies B = (6,4)
C = (3,1) implies C' = (1,-3)
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Solve each system using substitution x=-2y=1 x=y-5
So the question is Subtract 8/x+3 - 5/x+2and i got (3x+1)/(x+2)(x+3) yet the choices are A. (8x+16)/x^2+5x+6 B. (5x+15)/x^2+5x+6 C. (3x+1)/x^2+5x+6 D. 3/x+1
Answers
Answer:
21 degrees
Step-by-step explanation:
Triangles have a total angle of 180 degrees.
This makes our equation:
3x+3+4x+135=180
Subtract 135 from both sides and combine like terms
7x + 3 = 45
Subtract 3 from both sides
7x = 42
Divide both sides by 7
x = 6
Plugging the number in:
3x + 3 =
3(6) + 3 =
21
455 cubic inches
1 2/3 cubic inches
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V(x) = kl
V(x) = (15) (25 inches)
V(x) = 375 cubic inches
The volume of the box is 375cubic inches.
.
A. Graph A
B. Graph B
C. Graph
D. Graph D
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Answer: the correct answer is D. It says less than or equal to and that means it’s shaded below the line and a full line. Alex said it was correct
Step-by-step explanation:
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Answer:
$0.80
Step-by-step explanation:
To find the sales tax you:
Divide 4% by 100 ( because a percentage is always out of 100) {= 0.04}
Multiply 0.04 by 20 ( the answer becomes $0.80)
When doing this you primarily finding 4% of $20.
HOPE THIS HELPED
B. All rectangles are squares
C. All rhombuses are squares
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A rectangle is a parallelogram with interior right angles.
That description applies very satisfactorily to squares.
A square is a special kind of rectangle, so all squares are rectangles.
(All squares are rhombuses, parallelograms, and quadrilaterals too.)
Answer: Option 'A' is correct and true.
Step-by-step explanation:
Square is the quadrilateral whose all sides are equal and all angles are right angles and
Rectangle is the quadrilateral whose opposite sides are equal and all angles are right angles.
so, All squares are rectangle as it satisfied the angle property of rectangle and opposite sides of square is also equal.
But all rectangles can't be a square as in rectangle all sides are not equal.
And all rhombus can't be squares as in square all angles are of right angles but rhombus does not possess such property at all.
Hence, Option 'A' is correct and true.
Answers
+ 6x + 6x
4x + y = 12
4x - 4x + y = -4x + 12
y = -4x + 12
f(x) = -4x + 12