MATHEMATICS MIDDLE SCHOOL

Identify the equation of the circle that has its center at (10, 24) and passes through the origin.

Answers

Answer 1
Answer:

we are given

center=(h,k)=(10,24)

so,

h=10 and k=24

and it passes through origin

so, we can find radius

radius will be distance between (10,24) and (0,0)

r=√((10-0)^2+(24-0)^2)

r=26

now, we can use standard equation of circle

(x-h)^2+(y-k)^2=r^2

so, we will get equation as

(x-10)^2+(y-24)^2=26^2..........Answer
Answer 2
Answer:

Answer: (x−10)2+(y−24)2=676

Step-by-step explanation: it is right

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Solve the inequality

Answers

Answer:

\large\boxed{x>-25}

Step-by-step explanation:

-(3)/(10)x-7<(1)/(2)\qquad\text{multiply both sides by 10}\n\n10\!\!\!\!\!\diagup^1\cdot\left(-(3)/(10\!\!\!\!\!\diagup_1)x\right)-(10)(7)<10\!\!\!\!\!\diagup^5\cdot(1)/(2\!\!\!\!\diagup_1)\n\n-3x-70<5\qquad\text{add 70 to both sides}\n\n-3x<75\qquad\text{change the signs}\n\n3x>-75\qquad\text{divide both sides by 3}\n\nx>-25

Describe algebraically the relationship between x1 and x2

Answers

x2 is double the amount of x1

There are 25 students in a class. 2525 of them walk to school.Which method is a way to find the number of students who walk to school?

Answers

You would have to do 25/25 to get the answer 
even IF you meant 25/25, I don't understand what you mean by which method. Could you please clarify? Comment on my answer, and I will comment you your answer.

two unidentified flying discs are detected by a receiver, the angle of elevation from the receiver to each disc is 38.48 degrees. The discs are hovering at a direct distance of 826metres and 1.296km from the receiver. Find the difference in height between the two flying discs.

Answers

Answer:

292.45 m

Step-by-step explanation:

Both disk are at an angle of 38.48°

From the image below we calculate as,

For disk B, direct distance is 1.296 km from receiver = 1296 m

Vertical height from ground will be = 1296 x sin38.48 = 806.42 m

For disk A, direct distance is 826 m from receiver

Verival height above ground = 826 x sin38.48 = 513.97 m

Difference in height between disks is 806.42 - 513.97 = 292.45 m

Use the graph;Describe the association between the year and the distance jumped for the years after 1988.

Answers

  After 1988 the distance got smaller and smaller.

A file server costs $30,000The file server depreciates by 20% if it’s value each year
After three years it’s value is:

A $ 6000
B $ 12,000
C $ 15,360
D $ 19,200
E $ 24,000

Answers

Answer:

30,000 - 20% =24,000 year 1

24,000 - 20% =18,000 year 2

18,000 - 20% =12000 year 3

12,000 is your answer B)

Step-by-step explanation:
It is A 6,000.
I think I’m correct but if I’m not I’m very sorry.
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