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4 years ago

Write 17 as a fraction of 20

Mathematics

1 answer:

cluponka [151]4 years ago

4 0

I believe that it would be 17.000000000 (17/20) I do not know if this is right, but I tried haha

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If P= (-3,5) and Q= (1,9), find the equation of the circle that has segment PQ as a diameter

Alex777 [14]

Answer:

The equation of the circle is;

(x - [(-1))² + (y - [7])² = 8

Step-by-step explanation:

The given coordinates of the points P and Q are;

P = (-3, 5) and Q = (1, 9)

To find the equation of the circle that has segment PQ as a diameter

The equation of a circle is (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

Given that segment PQ is the diameter of the circle, we have;

The center of the circle, O = The midpoint of PQ

The coordinates of the midpoint of segment PQ, O = ((-3 + 1)/2, (5 + 9)/2) = (-1, 7)

∴ The coordinates of the center of the circle, O = The coordinates of the midpoint of segment PQ = (-1, 7)

Therefore;

h = -1, k = 7

From PQ = The diameter of the required circle, we also have;

The length of PQ = 2 × (The radius of the circle) = 2 × r

The length of segment PQ = √((1 - (-3))² + (9 - 5)²) = √32 = 4·√2

Therefore;

The length of PQ = 4·√2 = 2 × r

r = (4·√2)/2 = 2·√2

r = 2·√2

r² = (2·√2)² = 8

r² = 8

The equation of the circle is therefore;

(x - h)² + (y - k)² = r²

(x - (-1))² + (y - 7)² = 8.

6 0

3 years ago

Write an equation that has one solution, an equation that has no solution and an equation that has infinite many solutions. Each

ValentinkaMS [17]

Answer:

3x + 4 = 9x -6
3x + 4 = 3x + 5
9x + 6 = 9x + 6

Step-by-step explanation:

Let x is the variable in each type of equation

1/ an equation that has one solution:

3x + 4 = 9x -6

<=> 9x - 3x = 4+6

<=> 6x = 10

<=> x = $\frac{10}{6}$

2/ an equation that has no solution:

3x + 4 = 3x + 5

<=> 3x - 3x = 5-4

<=> 0 = 1 impossible

3/ an equation that has infinite many solutions:

9x + 6 = 9x + 6

<=> 9x - 9x = 6 -6

<=> 0 = 0 (obvious) no matter what we put in for x

Hope it will find you well.

5 0

3 years ago

Drag the expressions to the boxes to order from least to greatest

skad [1K]

Answer:

3/4x4/9 least

then 7/7x4/9

then 1 2/3x4/9

Greatest is 2x4/9

Step-by-step explanation:

5 0

3 years ago

having a blonde moment here lol. harvey is 3 times as old as jane. the sum of their ages is 48. find the age of each

GarryVolchara [31]

Answer: could be wrong but I believe that their age is 24. Hope it helps

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

IDENTIFY THE COORDINATES OF THE POINT

Musya8 [376]

Answer:

a) (-3, -7)

Step-by-step explanation:

a) (-3, -7)

4 0

3 years ago