MATHEMATICS MIDDLE SCHOOL

Q4
Help pleaseeeeeeee
Q4 Help pleaseeeeeeee - 1

Answers

Answer 1
Answer:

a. The general equation for a circle centered at (a,b) with radius r is

(x-a)^2+(y-b)^2=r^2

The described circle has equation

(x+3)^2+(y+2)^2=r^2

We know the circle passes through the origin. This means that the equation above holds for x=0 and y=0. The distance between any point on the circle and its center is the radius, so we can use this fact to determine r:

(0+3)^2+(0+2)^2=r^2\implies 9+4=13=r^2\implies r=√(13)

So the circle's equation is

(x+3)^2+(y+2)^2=(√(13))^2=13

b. If the distance between point B and the center is less than √(13), then B lies inside the circle. If the distance is greater than √(13), it falls outside the circle. Otherwise, if the distance is exactly √(13), then B lies on the circle.

The distance from B to the center is

√((-1+3)^2+(3+2)^2)=√(4+25)=√(29)

29>13, so √(29)>√(13), which means B falls outside the circle.

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The distance from the school to the corner is 0.9 kilometers.How nany meters is this

Answers

900 meters is how many meters in 0.9 kilometers

A woman wants to send a framed photograph of her family to her parents. The frame is 12 in. long and 7 in. wide. Will the frame lay flat in a box that has a square​ base, height 4 in.​, and volume 536 in. cubed​?

Answers

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if a computers hard drive is 640000000 bytes in size. if each kilobyte is 1024 bytes. how many kilobytes are in the computers program

Answers

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What is the missing leg length

Answers

Answer:

36 km

Step-by-step explanation:

This is a right triangle so we can use Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

27^2+ b^2 = 45^2

729+b^2 =2025

Subtract 729 from each side

729-729+b^2 =2025-729

b^2 =1296

Take the square root of each side

b =sqrt(1296)

b=36

Answer:

36

Step-by-step explanation:

a2+b2=c2

a2+27^2=45^2

a2+729=2025

a2=1296

then square root that number to get

a=36

Use properties to find the sum or product of 6x 107

Answers

k what i think it is is 642 if its a multiplication question 

What's the GCF of 30,48,60

Answers

The greatest common factor (GCF) of 30, 48, and 60 is: 6

Factors for 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30

The common factors between them are 1, 2, 3, and 6, but 6 is the greatest.
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