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2 years ago

Which of the following equations describes the graph?

Mathematics

1 answer:

skad [1K]2 years ago

3 0

Using translation concepts, the change of f(x) = x to g(x) = x - 90 can be described as follows:

The base graph has been shifted down 90 units.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we have that g(x) = f(x) - 90, that is, the base graph was shifted down 90 units.

More can be learned about translation concepts at brainly.com/question/4521517

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A rectangular paperboard measuring 20in long and 16in wide has a semicircle cut out of it, as shown below.Find the area of the p

CaHeK987 [17]

Answer: 219.52 inch^2

Step-by-step explanation:

Given the dimensions of rectangular papaerboard:

Length = 20inches

Width = 16inches

Area of rectangle = Length × width

Area of rectangle = 20 × 16 = 320 in^2

Area of a circle = pi*r^2

Therefore, area of semicircle = (pi*r^2) / 2

Diameter of circle = width of rectangle = 16 inches

Radius = diameter / 2 = 16 /2 = 8inches

Therefore, area of semicircle = (pi*8^2) / 2

= (3.14 × 64) / 2

= 200.96 / 2

= 100.48 inch^2

Therefore, area of paperboard left :

Area of rectangle - area of semicircle

320 - 100.48

= 219.52 inch^2

5 0

3 years ago

A ski club with 28 members went on a ski trip. some members rented skis and the rest rented snowboards. if skis rent for $16.00

Nat2105 [25]

$there \ are \ 28 \ members \\ the \ number \ of \ members \ renting \ skis - x\\the \ number \ of \ members \ renting \ snowboards - y\\skis \ rent \ for \ \$16.00 \ a \ day \ and \ snowboards \ rent \ for \ \$19.00 \ a \ day\\\\\begin{cases} x+y=28 \ \ / \cdot (-16) \\ 16x+19y = 478 \end{cases}$

$\begin{cases} -16x-16y=-448 \\ 16x+19y = 478 \end{cases}\\+ -------\\3y=30 \ \ / :3 \\y=10 \\ \\
x+y=28\\x+10=28\\x=28-10\\x=18 \\ \\ Answer: \ 18 \ members \ rented \ skis .
$

7 0

2 years ago

Simplify completely.

bogdanovich [222]

5.196152y^8

=5.196152*y^8
=5.196152*(y*y*y*y*y*y*y*y)

=5.196152y^8

7 0

3 years ago

William Arsenio is remodeling his home in order to save money he is upgrading the plumbing himself he needs 27 pieces of copper

Reptile [31]

Answer:

Yes.

2 feet

Step-by-step explanation:

Pieces of copper that Arsenio needs in total = 27 pieces

Length of each piece of copper tubing that he needs = 2/9 foot

Length of available tubing = 8 foot

Since, the length of each piece is 2/9 foot, the length of 27 pieces would be:

$\frac{2}{9} \times 27 = 6$

This means, Arsenio needs 6 feet in total for the copper tubing. Since he got 8 feet in total, he has sufficient amount of tubing available.

After making the 27 pieces, he will be left with 8 - 6 = 2 feet of tubing.

6 0

3 years ago

Which step is the same when constructing an inscribed regular hexagon and an inscribed equilateral triangle?.

Naddik [55]

Step is the same when constructing an inscribed regular hexagon and an inscribed equilateral triangle is shown below:

<h3 /><h3>What is construction?</h3>

Geometric construction is the process of drawing a geometrical figure using two geometrical instruments, a compass, and a ruler.

Construction of an inscribed regular hexagon

1) Set compass width to the radius of the circle

2) Make an arc on the circle with the set radius.

3) From the previous arc draw another arc with the same radius.

4) Continue this process for the other vertex.

5) Connect all the vertices.

Construction of an inscribed equilateral triangle

1) Set compass width to the radius of the circle

2) Make an arc on the circle with the set radius.

3)From the previous arc draw another arc with the same radius.

4)Continue this process for the other vertex.

5) Connect the every other vertices point by drawing a line between every other adjacent vertex point to form an inscribed equilateral triangle.

Learn more about construction here:

brainly.com/question/791518

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7 0

2 years ago