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3 years ago

Given cos x = 3/5 and 3pi /2 < x < 2 and sin y = ─ square root 2/2,

Mathematics

1 answer:

Sergio [31]3 years ago

3 0

Answer:

Step-by-step explanation:

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The graph of the equation x^2+6x+y^2-16y=-9 is a circle. Choose True or False for each statement

BigorU [14]

Answer:

see the explanation

Step-by-step explanation:

we have

$x^2+6x+y^2-16y=-9$

Convert the equation of the circle in center radius form

Group terms that contain the same variable

$(x^2+6x)+(y^2-16y)=-9$

Complete the square twice. Remember to balance the equation by adding the same constants to each side

$(x^2+6x+9)+(y^2-16y+64)=-9+9+64$

$(x^2+6x+9)+(y^2-16y+64)=64$

Rewrite as perfect squares

$(x+3)^2+(y-8)^2=8^2$

The center of the circle is (-3,8)

The radius of the circle is 8 units

Verify each statement

A. The center of the circle is (3,-8).

False

The center of the circle is (-3,8)

B. The circle is tangent to the x-axis

True

The circle is tangent to x=5 and x=-11 and is tangent to y=0 and y=16

Remember that y=0 is the x-axis

C. The circle has a radius of 64

False

The radius of the circle is 8 units

7 0

3 years ago

solve the following pair of linear equation 2x+3y=5 , 7x-5y=2 has a unique solution if yes find the solution

slava [35]

Answer:

(1, 1 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = 5 → (1)

7x - 5y = 2 → (2)

Multiplying (1) by 5 and (2) by 3 and adding will eliminate the y- term

10x + 15y = 25 → (3)

21x - 15y = 6 → (4)

Add (3) and (4) term by term to eliminate y

31x = 31 ( divide both sides by 31 )

x = 1

Substitute x = 1 into either of the 2 equations and evaluate for y

Substituting into (1)

2(1) + 3y = 5

2 + 3y = 5 ( subtract 2 from both sides )

3y = 3 ( divide both sides by 3 )

y = 1

Solution is (1, 1 )

8 0

4 years ago

Read 2 more answers

How do I solve this?

Bad White [126]

All you really have to do is find the measure of angle T - if T=R then when you find the measure of T then it will also = R

5 0

3 years ago

If ann had 10 apples and she gave 6 apples to lailta how many apples does ann have left

irina1246 [14]

Answer:

Step-by-step explanation:

10-6=4

1111111111

111111

7 0

4 years ago

Read 2 more answers

You have a rather strange die: Three faces are marked with the letter A, two faces with the letter B, and one face with the lett

Gnesinka [82]

Answer:

8/27 ≈ 29.6%

Step-by-step explanation:

Two of the six faces are B, which means four of the six faces are not B.

The probability of rolling not B three times is:

P = (4/6)^3

P = (2/3)^3

P = 8/27

P ≈ 29.6%

6 0

3 years ago

Read 2 more answers