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Tatiana [17]
3 years ago
11

Need help quick, please?

Mathematics
1 answer:
My name is Ann [436]3 years ago
8 0
Remember that the general formula for a circle is <span> 
(x – h)</span>² + (y – k)² = r²<span>, where (h,k) is the coordinate of the center. 
We already know that (h,k) = (5,-4), since we know the center's coordinates. We need to find r, the radius, using the distance between the center and the point (-3,2). 
To do this, we can either use the distance formula, or plug in the points in our circle equation and solve for r.
Let's do the second one, plugging in and solving for r.
We can use the point (-3,2) for (x,y):
</span>(x – h)² + (y – k)² = r²
(-3 - 5)² + (2 - -4)² = r²
(-8)² +(6)² = r²
64 + 36 = r²
100 = r²
r = 10
We know that r=10, and that r² = 100
Using h, k, and r, we can now solve for the equation of the circle in standard form.
The equation of the circle is:
(x – 5)² + (y + 4)² = 100
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In kilometers, the approximate distance to the earth's horizon from a point h meters above the surface can be determined by eval
Maslowich
In kilometers, the approximate distance to the earth's horizon from a point h meters above the surface can be determined by evaluating the expression 

d= \sqrt{12h}

We are given the height h of a person from surface of sea level to be 350 m and we are to find the the distance to horizon d. Using the value in above expression we get:

d= \sqrt{12*350}=64.81

Therefore, the approximate distance to the horizon for the person will be 64.81 km
8 0
3 years ago
On Tuesday Wilbur bought 5 hats. On Wednesday half of the hats he had were
DochEvi [55]
Yes that’s correct

14 x 2 =28

28 - 5

=23
8 0
2 years ago
Read 2 more answers
What is the completely factored form of x^3 – 64x?
givi [52]
x^3 - 64x \\ \\ gcf = x \\ \\ x( \frac{x^3}{x} +  \frac{-64x}{x} ) \\ \\ x(x^2 - 64) \\ \\ x(x^2 - 8^2) \\ \\ x(x + 8)(x - 8) \\ \\

The final result is: C) x(x - 8)(x + 8).
4 0
3 years ago
-| x-4| + 2 = -2x + 7
astraxan [27]

X=3

Let's solve your equation step-by-step.

−

|

x

−

4

|

+

2

=

−

2

x

+

7

Step 1: Add -2 to both sides.

−

|

x

−

4

|

+

2

+

−

2

=

−

2

x

+

7

+

−

2

−

|

x

−

4

|

=

−

2

x

+

5

Step 2: Divide both sides by -1.

−

|

x

−

4

|

−

1

=

−

2

x

+

5

−

1

|

x

−

4

|

=

2

x

−

5

Step 3: Solve Absolute Value.

|

x

−

4

|

=

2

x

−

5

We know either

x

−

4

=

2

x

−

5

or

x

−

4

=

−

(

2

x

−

5

)

x

−

4

=

2

x

−

5

(Possibility 1)

x

−

4

−

2

x

=

2

x

−

5

−

2

x

(Subtract 2x from both sides)

−

x

−

4

=

−

5

−

x

−

4

+

4

=

−

5

+

4

(Add 4 to both sides)

−

x

=

−

1

−

x

−

1

=

−

1

−

1

(Divide both sides by -1)

x

=

1

x

−

4

=

−

(

2

x

−

5

)

(Possibility 2)

x

−

4

=

−

2

x

+

5

(Simplify both sides of the equation)

x

−

4

+

2

x

=

−

2

x

+

5

+

2

x

(Add 2x to both sides)

3

x

−

4

=

5

3

x

−

4

+

4

=

5

+

4

(Add 4 to both sides)

3

x

=

9

3

x

3

=

9

3

(Divide both sides by 3)

x

=

3

Check answers. (Plug them in to make sure they work.)

x

=

1

(Doesn't work in original equation)

x

=

3

(Works in original equation)

7 0
3 years ago
Determine whether the sequence converges or diverges. If it converges, find the limit. [Hint:
Zepler [3.9K]

(a) converges; consider the function <em>f(x)</em> = <em>a</em> ˣ, which converges to 0 as <em>x</em> gets large for |<em>a</em> | < 1. Then the limit is 2.

(b) converges; we have

4ⁿ / (1 + 9ⁿ) = (4ⁿ/9ⁿ) / (1/9ⁿ + 9ⁿ/9ⁿ) = (4/9)ⁿ × 1/(1/9ⁿ + 1)

As <em>n</em> gets large, the exponential terms vanish; both (4/9)ⁿ → 0 and 1/9ⁿ → 0, so the limit is 1.

(c) converges; we know ln(<em>n</em> ) → ∞ and arctan(<em>n</em> ) → <em>π</em>/2 as <em>n</em> → ∞. So the limit is <em>π</em>/2.

6 0
2 years ago
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