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katrin [286]
3 years ago
6

Help me with the following It's inequalities... in case you're wondering..

Mathematics
1 answer:
rodikova [14]3 years ago
4 0

Answer:

  11. x ≥ -2

  12. x < -1

Step-by-step explanation:

11. The solid dot at -2 indicates that is part of the solution. The line to the right covers all the numbers greater than -2. Since -2 is also included, the inequality represented is ...

  x ≥ -2

__

12. The open dot at -1 indicates that -1 is not included in the solution. The line extending to the left covers all numbers less than -1, so the inequality represented is ...

  x < -1

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Graph the solution for the following linear inequality system. Click on the graph until the final result is displayed.
S_A_V [24]

Answer:

Step-by-step explanation:

x+y>0, x>0, when y=0

x+y<-5 x<-5 when y=0

since the sign is only< then it is dotted line, and since one is greater and is less than they actually do not intersect

5 0
3 years ago
from an observer o, the angles of elevation of the bottom and the top of a flagpole are 40° and 45° respectively.find the height
maksim [4K]

Answer:

Take a look of the image below, we can think on this problem as a problem of two triangle rectangles.

We can see that both triangles share the adjacent cathetus, then the height of the flagpole is just the difference between the opposite cathetus.

Remember the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

So, if we define H as the height of the cliff

X as the distance between the observer and the cliff

and h as the height of the flagopole

we can write:

tan(40°) = H/X

tan(45°) = (H + h)/X

Notice that we have two equations and 3 variables (we should have the same number of equations than variables) then here is missing information, and we can't get an exact solution for the height of the flagpole.

But we can write it in terms of the height of the cliff H, or in terms of the distance between the observer and the cliff.

We want to find the value of h.

If we take the quotient between both equations, we get:

Tan(45°)/Tan(40°) = (H + h)/H

1.192 = (H + h)/H

1.192*H = H + h

1.192*H - H = h

0.192*H = h

So the height of the flagpole is 0.192 times the height of the cliff.

6 0
3 years ago
Write a complete two-column proof for the following information given
rosijanka [135]

   <u>Statement </u>                  <u>Reason</u>        

1. AB = x + 16                 1. Given

  BC = 4x + 11

   AC = 77

2. AB + BC = AC             2. Segment Addition Postulate

3. x + 16 + 4x + 11 = 77     3. Substitution Property

4. 5x + 27 = 77                 4. Simplification <em>(added like terms)</em>

5. 5x = 50                         5. Subtraction Property of Equality

6. x = 10                             6. Division Property of Equality

7. AB = 10 + 16                   7. Substitution Property

8. AB = 26                          8. Simplification <em>(added like terms)</em>

5 0
3 years ago
If 3x+5=11 what is the value of x-2
Alina [70]

Answer:

0

Step-by-step explanation:

x = 2

2 x 3 = 6 + 5 = 11

2 - 2 = 0

7 0
3 years ago
A country Road is 0.8 miles long. Determine the length of the road to the nearest whole yard
Olin [163]

Answer:

The nearest whole yard would be 1 or 1.0 because 8 is larger than 5 so you would round up giving you 1

6 0
3 years ago
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