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3 years ago

Translate the shape by the vector { -1 } 5

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

Coordinates of the given rectangle are,

A → (3, 3)

B → (6, 3)

C → (6, 1)

D → (3, 1)

Translation of the given rectangle by the vector $\binom{-1}{5}$ means, shifting of rectangle by 1 unit to the left and 5 units up.

So the rule which defines the translation of the vertices by the given vector is,

(x, y) → (x - 1, y + 5)

By this rule, after translation vertices of image rectangle will be,

A(3, 3) → A'(2, 8)

B(6, 3) → B'(5, 8)

C(6, 1) → C'(5, 6)

D(3, 1) → D'(2, 6)

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NO LINKS!! Please help me with these graphs

Stella [2.4K]

Answer:

square: 9 square units
triangle: 24 square units

Step-by-step explanation:

Using a suitable formula the area of a polygon can be computed from the coordinates of its vertices. You want the areas of the given square and triangle.

<h3>Square</h3>

The spreadsheet in the first attachment uses a formula for the area based on the given vertices. It computes half the absolute value of the sum of products of the x-coordinate and the difference of y-coordinates of the next and previous points going around the figure.

For this figure, going to that trouble isn't needed, as a graph quickly reveals the figure to be a 3×3 square.

The area of the square is 9 square units.

<h3>Triangle</h3>

The same formula can be applied to the coordinates of the vertices of a triangle. The spreadsheet in the second attachment calculates the area of the 8×6 triangle.

The area of the triangle is 24 square units.

<em>Additional comment</em>

We have called the triangle an "8×6 triangle." The intention here is to note that it has a base of 8 units and a height of 6 units. Its area is half that of a rectangle with the same dimensions. These dimensions are readily observed in the graph of the vertices.

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1 year ago

Autum school holding a voleturing challeng. Students are encouraged to volunteer for at least 1 1/2 hours per week. Volenteers a

Pani-rosa [81]

Given :

Challenge given is to volunteer for about 1 1/2 hours per week .

Autum did at a rate of 6 3/4 hours per week .

To Find :

The comparison ( ratio ) her volunteers rate with the challenge rate .

Solution :

Simplifying challenge rate in in normal fraction , $1\dfrac{1}{2}=\dfrac{2+1}{2}=\dfrac{3}{2}$ .

Also , simplifying her rate , $6\dfrac{3}{4}=\dfrac{(6\times 4)+3}{4}=\dfrac{27}{4}$ .

Now , ratio of his work by challenge is :

$R=\dfrac{\dfrac{27}{4}}{\dfrac{3}{2}}\\\\\\R=\dfrac{27\times 2}{4\times 3}\\\\R=\dfrac{9}{2}$

Therefore , the ratio is 9/2 or 4 1/2 .

Hence , this is the required solution .

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4 years ago

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Margaret [11]

Answer: b c and e

Step-by-step explanation:

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2 years ago

How to find out the volume of a prism

slamgirl [31]

Answer:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

Step-by-step explanation:

1)Write down the formula for finding the volume of a rectangular prism. The formula is simply V = length * width * height.

2)Find the length.

3)Find the width.

4)Find the height.

5)Multiply the length, the width, and the height.

6)State your answer in cubic units.

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3 years ago

Read 2 more answers

PLEASE HELP!!!

Eduardwww [97]

Hi there! I haven't done math in a while but I do well and I hope this helps. First, we get our radius from our area, which is about 4 inches. From there, I used the volume formula and got the answer closest to C, or 267.95. Thanks, good luck :)

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3 years ago