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3 years ago

Part a) Write the equation of the circle by completing the square.

Mathematics

1 answer:

Veronika [31]3 years ago

4 0

X² +4x+y²-2y=20
x²+2*2x+4 +y²-2y+1 =20+4+1
(x+2)²+(y-1)²= 25
(x+2)²+(y-1)²= 5²
center (-2,1)

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construct a right-angled triangle ABC where angle A =90 degree , BC= 4.5cm and AC= 7cm. please ans fast........ Very urgent. Pls

Katena32 [7]

Answer and Step-by-step explanation: The described right triangle is in the attachment.

As it is shown, AC is the hypotenuse and BC and AB are the sides, so use Pytagorean Theorem to find the unknown measure:

AC² = AB² + BC²

$AB^{2} = AC^{2}-BC^{2}$

$AB =\sqrt{AC^{2}-BC^{2}}$

$AB =\sqrt{7^{2}-4.5^{2}}$

$AB =\sqrt{28.75}$

AB = 5.4

Then, right triangle ABC measures:

AB = 5.4cm

BC = 4.5cm

AC = 7cm

6 0

3 years ago

Ryan planted flowers in a rectangular garden. The width of the garden is left parenthesis x minus 5 right parenthesis(x−5) feet

Nookie1986 [14]

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- The equation :

Area = length x width

- Substitute the values in :

Area = (x - 5)(x - 5 + 22)

(Note : the 'x' is for the algebraic expression x in the example above)

- Now you have to simplify the second parenthesis:

Area = (x - 5)(x + 17)

- Now expand :

Area = x^2 + 17x - 5x - 85

- Simplify by collecting like terms :

Area = x^2 + 12x - 85

(Note : x^2 means x squared)

Now you have your answer as:

x^2 + 12x - 85 feet^2

Have A Nice Day ❤

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- Ally ✧

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3 0

3 years ago

Which represents the number 16,807 in exponential form

Naya [18.7K]

7^5. Found by trial and error.

3 0

3 years ago

What is 2 X (6+ 2 + 8) -4

VladimirAG [237]

Answer:

The correct answer is 32x - 4

Step-by-step explanation:

1) Simplify 6 + 2 to 8.

$2x(8 + 8) - 4$

2) Simplify 8 + 8 to 16.

$2x \times 16 - 4$

3) Simplify 2x × 16 to 32x.

$32x - 4$

Therefor, the answer is 32x - 4.

4 0

2 years ago

You deposit $800 in an account that pays 2.65% annual interest compounded continuously. What is the balance after 12 years? Use

balu736 [363]

Answer:Let P = initial investment

r = annual interest rate (decimal form)

t = number of years

A(t) = amount after t years

Then, A(t) = Pert

A(12.5) = 800e(0.0265)(12.5)

= 800e0.33125

= $1114.17

Step-by-step explanation:

4 0

2 years ago