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4 years ago

Which sequence of transformations produces an image that is not congruent to the original figure?

2 answers:

6 0

D

Translations, Reflections, and Rotations are transformations that result in a congruent figure.

Dilations on the other hand don't. They change the size of the figure, which means the transformed figure is not congruent to the original.

Vitek1552 [10]4 years ago

5 0

Which sequence of transformations produces an image that is not congruent to the original figure?
A. A reflection across the y-axis followed by a rotation of 180 counterclockwise.
B. A rotation of 90 clockwise followed by a translation of 6 units to the left.
C. A translation of 3 units to the left followed by a reflection across the x-axis.
D. A translation of 5 units to the left followed by a dilation of a factor of 2.

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Create a table and graph y=x+1 demos

DerKrebs [107]

Answer:

The table will be:

x y=x+1

1 2

2 3

3 4

4 5

5 6

The graph is shown in figure attached.

Step-by-step explanation:

We need to create table and graph the expression: $y=x+1$

Table is made, such that we take value of x and find value of y

You can take any values of x from negative values to positive values. I am taking values of x: 1,2,3,4,5 and find value of y.

So our table will be:

x y=x+1

1 2

2 3

3 4

4 5

5 6

Now, we will plot these value on the graph. x values will be on x-axis and corresponding y-values will be on y-axis.

The graph is shown in figure attached.

8 0

3 years ago

Mr. Al bought two boxes of candy with each box having 3 pieces inside of it. How many pieces candy did he have total?

Vladimir79 [104]

Answer:

Step-by-step explanation:

3 x 2 = 6

3 + 3 = 6

4 0

3 years ago

Read 2 more answers

The height of a cylinder is twice its radius. A sphere whose radius is 2 inches less than the radius of the cylinder is carved o

ozzi

Graphing it out yields the radius of the cylinder is 5 inches.

5 0

3 years ago

50 points! Tell whether the orthocenter is inside, on, or outside the triangle. Then find the coordinates of the orthocenter.

Nady [450]

Answer:

(1,3) is inside the triangle

Step-by-step explanation:

Orthocenter is the intersection of altitudes.

We'll calculate the slopes of the two sides and their altitudes ad find the intersection.

m = (3 - 5)/(4 - (-1)) = -2/5

Perpendicular slope:

-1/m = 5/2

Perpendicular line passes through S(-1, -2):

y - (-2) = 5/2(x - (-1)) ⇒ y = 5/2x + 1/2

m = (-2 - 3)/(-1 -4) = -5/-5 = 1

Perpendicular slope:

-1/m = -1/1 = -1

Perpendicular line passes through Q(-1, 5):

y - 5 = -(x - (-1)) ⇒ y = -x + 4

The intersection of the two lines is the orthocenter.

Solve the system of equations to get the coordinates of the orthocenter:

5/2x + 1/2 = x + 4
5x + 1 = -2x + 8
7x = 7
x = 1

Find y-coordinate:

y = -1 + 4 = 3

The orthocenter is (1, 3)

If we plot the points, we'll see it is inside the triangle

6 0

3 years ago

How do i solve this equation -4p+9=-5

gregori [183]

Answer:

p = 7/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-4p + 9 = -5

Step 2: Solve for p

Subtract 9 on both sides: -4p = -14
Divide -4 on both sides: p = 7/2

Step 3: Check

Plug in p into the original equation to verify it's a solution.

Substitute in p: -4(7/2) + 9 = -5
Multiply: -14 + 9 = -5
Add: -5 = -5

Here we see that -5 does indeed equal -5.

∴ p = 7/2 is the solution to the equation.

5 0

3 years ago

Read 2 more answers