MATHEMATICS MIDDLE SCHOOL

Which of the following systems of inequalities would produce the region indicated on the graph below

Answers

Answer 1

Answer:

Answer:

option D

Step-by-step explanation:

In the given graph 4 lines have been used.

(1) First one is x = 0

(2) second is y = 0

(3) Third line is y = -x + y

(4) Fourth line is y = x + 2

Now we have to tell the inequalities which form the colored area.

(1) y axis is a solid line with colored area on the right side so y ≥ 0 is the inequality.

(2) x axis is a solid line with colored area upwards so x ≥ 0 is the second inequality.

(3) Colored area is below the solid line y = -x + y so inequality will be y ≤ ( -x +4 ).

(4) Colored area is below the dotted line y = x + 2 so the inequality representing the colored area will be y< x + 2

System of inequalities will be x ≥ 0, y ≥ 0, y < x + 2 and y ≤ (-x + 4)

Therefore, option D is the answer.

Answer 2

Answer:

Answer: D

Step-by-step explanation:

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A volunteer called 280 homes to ask questions about an upcoming election. Of these calls, 92 were not answered. Based on those results, what is the probability that the next call the volunteer makes is not answered?

Answers

Hi there! :) The answer of your question is 0.32 or 32%. I got the answer because I divided 92/280=0.32. I hope this is the right answer.

Hope I helped! :D

A blimp is 1500 meters high in the air and measures the angles of depression to two stadiums to the west of the blimp. If those measurements are 72.9° and 34.1°, how far apart are the two stadiums to the nearest meter?

Answers

Answer:

The distance between both stadiums is:

2215.49 m - 461.46 m =1754.03 m

Step-by-step explanation:

Look at the attached picture:

Lets say that the stadium on the left is stadium 1 and stadium 2 is on the right.

Using the angle property of alternate angles the angle above stadium 1 is 72.9° and the angle above the stadium 2 is 34.1°

By using trigonometric function of tangent we solve it as:

We know that tanθ = opposite / adjacent

Therefore,

tan 72.9°=1500/ adjacent

Now

adjacent = 1500/tan 72.9°

adjacent = 461.46 m

Solve for next angle:

Tan 34.1°=1500/ adjacent

adjacent = 1500/tan 34.1°

adjacent = 2215.49 m

Therefore the distance between both stadiums is:

2215.49 m - 461.46 m =1754.03 m ....

No one seems to wanna help me please?

Answers

For perpendicular questions, you need to find the reciprocal of the slope and change it's sign.

I sent a picture to show you what I mean

With your graph questions, remember

rYse over run

$(y)/(x)$

This is for your slope. for example, with number 19, go up 7 over the right 4(Because it's a positive number) starting from the y-intercept but also backtrack so it's a line and your y-intercept, b, the number after the slope is the point where the line meets the y- axis. So for number 19, you would plot a point at (0, -4)

I'm not entirely sure that's how the slope things go (The actual slope not the y-intercept) so I would suggest asking your teacher about that.

Sorry I couldn't help more! I just hope this makes you understand just a little bit more :)

2. What is 95% of 720?