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mel-nik [20]
3 years ago
14

Draw a polygon with the given conditions in a coordinate plane of rectangle with a perimeter of 20 units

Mathematics
1 answer:
Anarel [89]3 years ago
3 0

Question says to draw a polygon with the given conditions in a coordinate plane. It is talking about Rectangle with perimeter of 20 units.

So we can use formula of perimeter of rectangel to find it's possible dimensions.

We knwo that perimeter of the rectangle is given by 2(L+W)

where L is lenght and W is width.

Given perimeter is 20 so we get:

2(L+W)=20

L+W=10

L=10-W


So basically we can use any number for W which can be from 0 to 10 as side length can't be negative.

Let W=4

Then L=10-W=10-4=6

Hence we just have to draw a rectangle having length 6 and width 4.

So the final answer will be picture in the attached graph.

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A tree grows 5 inches each year. Angela is asked to find when the tree is 1 2/3 feet tall. Angela incorrectly says 20 years, how
pentagon [3]

Answer:

4 years

Step-by-step explanation:

Note that:

1 foot = 12 inches

1 2/3 feet = x inches

We cross multiply

1 foot × x inches = 1 2/3 feet × 12 inches

x inches = 1 2/3 feet × 12 inches/1 foot

x inches = 5/3 × 12 inches

x inches = 20 inches

A tree grows 5 inches each year. How many years will it take for the tree to be 1 2/3 feet tall = 20 inches

This is calculated as

5 inches = 1 year

20 inches = x year

Cross Multiply

5x = 20 inches × 1 year

x = 20/5

x = 4 years

It would take the tree 4 years to be 1 2/3 feet tall

6 0
3 years ago
What is the y-intercept of the function f(x) = -3x<br> Ο<br> Ο<br> on who wire on<br> Ο<br> Ο
morpeh [17]

Answer:

see the explanation

Step-by-step explanation:

we know that

The y-intercept is the value of the function when the value of x is equal to zero. Also is called the initial value of the function

I will analyze two cases

Part 1) we have

f(x)=-3x

so

For x=0

substitute

f(0)=-3(0)=0

therefore

The y-intercept is the point (0,0)

Part 2) we have

f(x)=-3^x

so

For x=0

substitute

f(0)=-3^0=-1

therefore

The y-intercept is the point (0,-1)

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4 years ago
Write an equation of the line whose x-intercept and y-intercept are each twice the corresponding intercepts of the graph of the
emmasim [6.3K]

Answer:

5x - 2y = 20

Step-by-step explanation:

Find x-intercept by substituting y for 0

5x - 2y = 10

5x - 2(0) = 10

Isolate x to get x-intercept.

5x = 10

x = 2

(2, 0)

Twice of this intercept is (4,0).

Find y-intercept by substituting x for 0

5x - 2y = 10

5(0) - 2y = 10

Isolate y to get y-intercept.

-2y = 10

y = -5

(0, -5)

Twice of this intercept is (0, -10).

A line should have the y-intercept -10 and x-intercept 4.

In original equation, double the 10.

Test for x and y intercepts.

5x - 2y = 20

-2y = 20

y = -10

5x - 2y = 20

5x = 20

x = 4

An equation is 5x - 2y = 20.

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