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trasher [3.6K]
3 years ago
11

Find the center and radius of the circle with equation (x + 8)2 + (y + 3)2 = 49.

Mathematics
2 answers:
SashulF [63]3 years ago
3 0
Center is at (h,k) in standard form:
(x-h)2 + (y-k)2 = r2
Center: (-8, -3)
Radius (r): sr49 = 7
Blababa [14]3 years ago
3 0

Answer:

if you still need this is answer its C.

Step-by-step explanation:

C. HOPE THIS HELPS

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Given sin x =-4/5 and x is in quadrent 3, what is the value of tan x/2
4vir4ik [10]

Answer:

We can write sin x in terms of tan x/2 using the formula:

⇒ sin x = (2 tan (x/2)) / (1 + tan2(x/2))

Therefore, using the above formula, we can find the values of tan x/2 by putting the value of sin x.

⇒ -4/5 = (2 tan (x/2)) / (1 + tan2(x/2))

Now, if we replace tan (x/2) by y, we get a quadratic equation:

⇒ 0.8y2 + 2y + 0.8 = 0

⇒ 2y2 + 5y + 2 = 0

By using the quadratic formula, we get y = -0.5, -2

Hence, the value of tan (x/2) = -0.5, -2

Now, we have two solutions of tan (x/2).

Now, let's check for the ideal solution using the formula tan x = (2 tan (x/2)) / (1 - tan2(x/2)).

For tan (x/2) = -0.5:

⇒ tan x = 2(-0.5) / 1 - (-0.5)2 = -4/3

It is also given that x lies in the third quadrant. We know that tan is positive in the third quadrant, and here we get tan x = -4/3 which is negative.

Hence, we can say that tan (x/2) = -0.5 is not a correct solution. Hence it is rejected.

Now let's check for tan (x/2) = -2.

⇒ tan x = 2(-2) / 1 - (-2)2 = 4/3

Here, we get tan x = 4/3 which is positive.

Hence, we can say that tan (x/2) = -2 is a correct solution.

5 0
3 years ago
Brainlest!!!
son4ous [18]

Answer:

1st graph: x ≤ -5

2nd graph: x > -5

3rd graph: x ≥ -5

4th graph: x > 5

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Will mark bianleast
Leni [432]

Answer:

(–5, 5)

Step-by-step explanation:

Start with the x-axis (left and right).

-5 so you go to the left by 5 steps.

Next is y-axis (up and down).

Without moving your spot in -5, you move up by 5 steps.

That is point F.

Tip: (x-axis, y-axis) or (left/right, up/down)

Negative number: Left or Down

Positive number: Right or Up

8 0
3 years ago
what is an equation in the point-slope form of the line that passes through (-3,-1) and has a slope of 2?
LuckyWell [14K]

Answer:

well it would have to be y=2x-3

Step-by-step explanation:

yup

4 0
3 years ago
What is the transformation for y = lxl + 3 ?
anyanavicka [17]

Answer: Center: (0,0)

Vertices: ( √3 , 0 ) , ( − √3 , 0 )

Foci: ( √6 , 0 ) , ( − √6 , 0 )

Eccentricity: √2

Focal Parameter: √6/2

Asymptotes: y = x , y = − x

How to: Rewrite in vertex form and use this form to find the vertex ( h , k ) .

Have a great day and stay safe !

3 0
3 years ago
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