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dangina [55]
3 years ago
12

What polygon is obtained by graphing the given system of inequalities? What is the area of the polygon bounded by the inequaliti

es? y ≥ 1 x ≥ 1 y ≤ 4 x ≤ 6 The polygon obtained by graphing the system of inequalities is a . The area of the polygon bounded by the inequalities is square units.
Mathematics
1 answer:
aalyn [17]3 years ago
8 0
Hello,

Vertex are:
(1,1),(6,1),(1,4),(6,4=
Area=(6-1)*(4-1)=5*3=15

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The areas of two similar triangles are 9cm2, and 49cm2. One of the sides of the first triangle is 2cm. What is the length of the
BlackZzzverrR [31]

Answer:

4 2/3  cm

Step-by-step explanation:

When we have area, it is the related to the scale factor by the scale factor squared

Area large/ area of small = 49/9

Take the square root

sqrt(49/9)  = 7/3

The scale factor is 7/3    large to small

The small side is 2 cm

large         7            x cm

--------   =  ------ =  -----------

small           3           2 cm

Using cross products

7*2 = 3x

Divide by 3

14/3 = 3x/3

14/3 = the large side

4 2/3  cm

3 0
3 years ago
How many 1/10s in 2 3/5
Umnica [9.8K]

It'd be clearer if you'd write:  "How many tenths are there in 2 3/5?"

2 3/5        13/5

---------- = ---------- = 26

(1`/10)        1/10

There are 26 tenths in 2 3/5.

5 0
3 years ago
The graph of f(x) = x2 is translated to form g(x) = (x – 2)2 – 3. Which graph represents g(x)?
cupoosta [38]

Answer:

See attached picture

Step-by-step explanation:

When functions are transformed there are a few simple rules:

• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).

• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).

• Multiplying the function by a number less than 1 compresses it towards the x-axis.

• Multiplying the function by a number greater than 1 stretches it away from the x-axis.

The equation for g has been subtracted inside the parenthesis by 2 which will shift the graph 2 units to the right.

The equation for g has also been subtracted outside the parenthesis by 3 which will shift the  graph 3 units down.

The graph is shown in black while f(x) is show in purple in the attached picture.

5 0
4 years ago
Read 2 more answers
If I have a triangle with a leg of 4 and a leg of 3 what is the length of the hypotenuse
Dmitrij [34]

Answer:

5

Step-by-step explanation:

To solve for hypotenuse we use the Pythagorean theorem:

a^2+b^2=c^2

In this theorem:

c= hypotenuse

a = leg

b = leg

Substitute into theorem:

4^2+3^2=c^2

16+9=c^2

25=c^2

(square root both sides)

5=c

Therefore the hypotenuse has a length of 5.

Please say thanks if correct :)

4 0
4 years ago
Given D = 5, E = 10 and F = 4, evaluate D• E/F<br> 1/2<br> 2<br> 25/2
marshall27 [118]

Answer:

25/2

Step-by-step explanation:

D = 5, E = 10 and F = 4,

D• E/F

5 * 10/4

Multiply  and Divide from left to right

50/4

25/2

4 0
3 years ago
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