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Marina CMI [18]
3 years ago
14

Please help Write an inequality for the given graph

Mathematics
1 answer:
Oduvanchick [21]3 years ago
8 0

Answer:

 y < 1/2x - 3

Step-by-step explanation:

You can write the inequality equation for the graph using the form y = mx + b. The inequality line has a y-intercept at (0,-3). This means b = -3. It also has a slope of 1/2 since the line moves up 1 and over 2 to the next point on the line.

This means the lines equation is y = 1/2x - 3. But since this is an inequality, you must use an inequality sign. Since the line is dashed it is not equal to. Your options are < and >.  Use the point (0,0) to test which sign is appropriate.

y < 1/2x - 3                      y > 1/2x - 3

0 < 1/2(0) - 3                   0 > 1/2(0) - 3

0 < -3                              0 > -3

The answer is y < 1/2x - 3 since (0,0) doesn't make it true and (0,0) is not shaded in the graph. This means it is not a solution.

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The perimeter of a rectangle is 70 cm. The ratio of length to width is 2:5. Find the length and width of the rectangle.
olya-2409 [2.1K]

Answer:

length = 10 cm; width = 25 cm

Step-by-step explanation:

Let's call the length 2x and the width 5x. Since perimeter can be calculated by multiplying the sum of the length and width by 2 we can write:

2 * (2x + 5x) = 70

2 * (7x) = 70

7x = 35

x = 5 which means the length is 2 * 5 = 10 and the width is 5 * 5 = 25.

5 0
3 years ago
For fun, if X=180 and Y=20 then what is (Y-X)x(53-33)+3,269= ???? For fun
Masja [62]

Answer:

6,469!

Step-by-step explanation:

180-20=160

53-33=20

160*20=3,200

3,269+3,200=6,469

4 0
3 years ago
I need help for 7 and 8. i also need the solution on how you get the answer. thanks in advance!
ycow [4]
7) Rectangular pyramid:
Length = 8m ; width = 4.6m ; Volume = 88m³

Volume of a rectangular pyramid = (Length * Width * Height)/3
88m³ = (8m * 4.6m * height)/3
88m³ * 3 = 36.8m² * height
264m³ = 36.8m² * height
264m³ / 36.8m² = height
7.2 m = height

8) Cone:
r = 5 in ; volume = 487 in
³

Volume of a cone = π r² h/3
487 in³ = 3.14 * (5in)² * h/3
487 in³ * 3 = 3.14 * 25in² * h
1,461 in³ = 78.5 in² * h
1,461 in³ / 78.5 in² = height
18.6 in = height
8 0
4 years ago
PLEASE HELP ME BRO <br> Find the perimeter of this shape and show ur work.
mylen [45]

Answer:

2 (length +breadth)

Step-by-step explanation:

2(2x+3) (x+1)

Multiply two on both sides and solve it

5 0
3 years ago
HELP PLEASE! ASAP ! <br> These 2 questions !
Vlad1618 [11]

Answer: 9 is true, 10 is false

Step-by-step explanation:

The key to these problems is to make sure the sequence of the letters is equal: 10 would be correct if they said DF ≅XZ

3 0
3 years ago
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