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2 years ago

Good luck Question 16 Which of the following is the graph whose equation is (x + 1)2 + (y - 6)2 = 9?

Mathematics

1 answer:

Artist 52 [7]2 years ago

5 0

Answer:

Step-by-step explanation:

This should have choices, but I'll provide a graph. You choose which one is it like.

Center: -1,6

radius: 3

Notice that the radius is 3 when measured between y = 6 and y = 9

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Colt1911 [192]

Answer:

no solution is the correct answer

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2 years ago

MATH HELP PLZ!!!

RoseWind [281]

Answer:

a) $tan (157.5) = \frac{1-cos 315}{sin315}$

$sin (165) =\sqrt{ \frac{1-cos (330) }{2}}$

$sin^{2} (157.5) = \frac{1-cos (315) }{2}$

cos 330° = 1- 2 sin² (165°)

Step-by-step explanation:

Step(i):-

By using trigonometry formulas

cos2∝ = 2 cos² ∝-1

cos∝ = 2 cos² ∝/2 -1

1+ cos∝ = 2 cos² ∝/2

$cos^{2} (\frac{\alpha }{2}) = \frac{1+cos\alpha }{2}$

cos2∝ = 1- 2 sin² ∝

cos∝ = 1- 2 sin² ∝/2

$sin^{2} (\frac{\alpha }{2}) = \frac{1-cos\alpha }{2}$

Step(i):-

Given

$tan\alpha = \frac{sin\alpha }{cos\alpha }$

we know that trigonometry formulas

$sin\alpha = 2sin(\frac{\alpha }{2} )cos(\frac{\alpha }{2} )$

1- cos∝ = 2 sin² ∝/2

Given

$tan(\frac{\alpha }{2} ) = \frac{sin(\frac{\alpha }{2} )}{cos(\frac{\alpha }{2}) }$

put ∝ = 315

$tan(\frac{315}{2} ) = \frac{sin(\frac{315 }{2} )}{cos(\frac{315 }{2}) }$

multiply with ' 2 sin (∝/2) both numerator and denominator

$tan (\frac{315}{2} )= \frac{2sin^{2}(\frac{315)}{2} }{2sin(\frac{315}{2} cos(\frac{315}{2}) }$

Apply formulas

$sin\alpha = 2sin(\frac{\alpha }{2} )cos(\frac{\alpha }{2} )$

1- cos∝ = 2 sin² ∝/2

now we get

$tan (157.5) = \frac{1-cos 315}{sin315}$

$sin^{2} (\frac{\alpha }{2}) = \frac{1-cos\alpha }{2}$

put ∝ = 330° above formula

$sin^{2} (\frac{330 }{2}) = \frac{1-cos (330) }{2}$

$sin^{2} (165) = \frac{1-cos (330) }{2}$

$sin (165) =\sqrt{ \frac{1-cos (330) }{2}}$

c )

$sin^{2} (\frac{\alpha }{2}) = \frac{1-cos\alpha }{2}$

put ∝ = 315° above formula

$sin^{2} (\frac{315 }{2}) = \frac{1-cos (315) }{2}$

$sin^{2} (157.5) = \frac{1-cos (315) }{2}$

cos∝ = 1- 2 sin² ∝/2

put ∝ = 330°

$cos 330 = 1 - 2sin^{2} (\frac{330}{2} )$

cos 330° = 1- 2 sin² (165°)

3 0

2 years ago

3200 dollars is placed in an account with an annual interest rate of 6.5%. To the nearest year, how long will it take for the ac

madam [21]

4 yrs

Step-by-step explanation:

Formulae for simple interest is;

A= P (1 + rt) Whereby;

A = Total Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

r = Rate of Interest per year in decimal; r = R/100

R = Rate of Interest per year as a percent; R = r * 100

t = Time Period involved in months or years

15300 = 3200 (1 + 106.5/100 *t)

15300/3200 = 1 + 1.065t

4.78125 – 1 = 1.065t

3.78125 = 1.065t

3.78125/1.065 = t

3.55 = t

Rounded off to the nearest whole number;

= 4

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2 years ago

I need help with this answer

astra-53 [7]

Answer:

Yes, it is a linear expression because the highest power of x is 1.

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3 years ago

Q11 The price of a smartphone is $600 and a smart watch is $250. If you buy them together you get a discount of 20%. If you deci

dimulka [17.4K]

Answer:

above is the solution to the question

4 0

1 year ago

Read 2 more answers

Good luck Question 16 Which of the following is the graph whose equation is (x + 1)2 + (y - 6)2 = 9?​

Good luck Question 16 Which of the following is the graph whose equation is (x + 1)2 + (y - 6)2 = 9?