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Alexus [3.1K]
2 years ago
10

Please help me if you don't mind​

Mathematics
1 answer:
yarga [219]2 years ago
7 0
Miya los cento 5-63 9-64
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Your paint 1/3 of a wall in 1/4 hour. at this rate, how long will it take to paint one wall
Irina-Kira [14]

1/4 hour is the same as 15 minutes. If it takes 15 minutes to paint 1/3, then it would take 45 minutes to paint the whole wall.

8 0
3 years ago
find the equation of a circle which passes through the point (2,-2) and (3,4) and whose centre lies on the line x+y=2
Nadusha1986 [10]

Answer:

Equation of the circle

(x - 0.7)² + (y - 1.3)² = 12.58

Step-by-step explanation:

The formula for the equation of a circle is given as:

(x - a)² + (y - b)² = r²,

where(a, b) is the center of the circle and r = radius of the circle.

a) We are told in the question that the equation of the circle passes through point(2, -2)

Hence,

Substituting 2 for x and -2 for y in the equation of the circle.

(x - a)² + (y - b)² = r²

(2 - a)² +(-2 - b)² = r²

Expanding the bracket

(2 - a) (2 - a) + (-2 - b)(-2 - b) = r²

4 - 2a - 2a +a² +4 +2b +2b +b² = r²

4 - 4a + a² + 4 + 4b + b² = r²

a² + b² -4a + 4b + 4 + 4 = r²

a² + b² -4a + 4b + 8 = r²............Equation 1

We are also told that the equation of the circle also passes through point (3,4) also, where 3 = x and 4 = y

Hence,

Substituting 3 for x and 4 for y in the equation of the circle.

(x - a)² + (y - b)² = r²

(3 - a)² +(4 - b)² = r²

Expanding the bracket

(3 - a) (3 - a) + (4 - b)(4- b) = r²

9 - 3a - 3a +a² +16 -4b -4b +b² = r²

9 -6a + a² + 16 -8b + b² = r²

a² + b² -6a -8b + 9 + 16 = r²

a² + b² -6a -8b + 25 = r²..........Equation 2

The next step would be to subtract Equation 1 from Equation 2

a² + b² -4a + 4b + 8 - (a² + b² -6a -8b + 25) = r² - r²

a² + b² -4a + 4b + 8 - a² - b² +6a +8b - -25= r² - r²

Collecting like terms

a² - a² + b² - b² - 4a + 6a + 4b + 8b +8- 25 = 0

2a + 12b -17 = 0

2a + 12b = 17...........Equation 3

Step 2

We are going to have to find the values of a and b in other to get our equation of the circle.

Since the center of the circle(a, b) lies on x + y = 2

Therefore, we have

a + b = 2

a = 2 - b

2a + 12b = 17 ..........Equation 3

Substituting 2 - b for a in

2(2 - b) + 12b = 17

4 - 2b + 12b = 17

4 + 10b = 17

10b = 17 - 4

10b = 13

b = 13/10

b = 1.3

Substituting 1.3 for b in

a + b = 2

a + 1.3 = 2

a = 2 - 1.3

a = 0.7

hence, a = 0.7, b = 1.3

Step 3

We have to find the value of r using points (2, -2)

(x - a)² + (y - b)² = r²

Where x = 2 and y = -2

(-2 - 0.7)² + (-2 - 1.3)² = r²

(-2.7)² + (-3.3)² = r²

1.69 + 10.89 = r²

r² = 12.58

r = √12.58 = 3.55

Step 4

The formula for the equation of a circle is given as:

(x - a)² + (y - b)² = r²,

where(a, b) is the center of the circle and r = radius of the circle

a = 0.7

b = 1.3

r² = 12.58

Equation of the circle =

(x - 0.7)² + (y - 1.3)² = 12.58

7 0
3 years ago
Plz help me I need your help plz help me plz plz plz help me I’m begging you so much plz help plz plz help me
alexandr1967 [171]

Answer:

B is epic answer

Step-by-step explanation:

8 0
3 years ago
The American Civil War was a civil war in the United States from 1861 to 1865, fought between northern states loyal to the Union
Sloan [31]

Answer:

The American Civil War was a civil war in the United States from 1861 to 1865, fought between northern states loyal to the Union and southern states that had seceded to form the Confederate States of America.

Why do phase changes occur?

1. Compare: Set the Water temperature to 0 °C and click Play. Observe the water molecules.

Click Reset, set the Water temperature to 100 °C, and click Play again.

What do you notice? The water molecules are moving slightly faster at 100 °C than at 0 °C.

[Note: This difference may be too small to observe easily.]

2. Observe: Click Reset. The mean molecular speed of the water molecules is displayed

below the container. Set the Water temperature to 0 °C and Add/remove heat energy to

400 J/s. Click Play.

A. How does the mean speed of the water molecules change as they are heated?

The average speed of water molecules increases as they are heated.

B. Does the mean molecular speed change as much as the temperature as the

water heats up? Explain.

Sample answer: For each degree of temperature change, the mean molecular

speed increases by about 1 m/s. At 100 °C, the mean molecular speed is about

17% faster than at 0 °C.

3. Explain: How is temperature related to the motions of molecules?

The higher the temperature, the faster the molecules move.

4. Observe: Click Reset. Set the Water temperature to 20 °C and the Ice volume to 50 cc.

Set Add/remove heat energy to 0 J/s. Click Play. How do the molecules in the liquid

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The molecules of the liquid collide with the molecules of solid, gradually breaking the bonds

between the molecules in the solid and causing the ice to melt.

Step-by-step explanation:

7 0
2 years ago
How do i solve this?? lol
Nana76 [90]

Answer:

w = 5\pi

Step-by-step explanation:

Not sure if it wants an integer as an answer but:

Step 1 - Move the negative 3π to the right.

-3\pi + w = 2\pi \\w = 2\pi + 3\pi

Step 2 - Simplify by adding together

w = 5\pi

Hope this helps!

7 0
2 years ago
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