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babunello [35]
2 years ago
11

Change the equation x^2+8x+y^2-12y=12 to graphing form

Mathematics
1 answer:
andriy [413]2 years ago
6 0
The radius is 8

Im not sure if this is what your looking for
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A tangent from point P to a circle of radius 4 cm is 10 cm long. Find: <br>a the distance of P from the centre of the circle <br
d1i1m1o1n [39]

Answer:

see explanation

Step-by-step explanation:

a

The tangent and the radius at the point of contact form a right angle

Using Pythagoras' identity on the right triangle formed.

Let x be the distance from the centre to P, then

x² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )

x = \sqrt{116} ≈ 10.77 cm (to 2 dec. places )

b

let the required angle be Θ, then

Using the sine or cosine ratio in the right triangle.

cosΘ = \frac{adjacent}{hypotenuse} = \frac{10}{\sqrt{116} }

Θ = cos^{-1} ( \frac{10}{\sqrt{116} } ) ≈ 21.8°

7 0
3 years ago
What is -1/3+w=5 3/8 express in simplest form
Elodia [21]
Let's solve your equation step-by-step.<span><span><span><span>
</span></span></span></span>\frac{-1}{3}<span><span>+w</span>=<span>5</span></span><span>\frac{3}{8}</span>
Step 1: Simplify both sides of the equation.<span><span>
w+</span></span>\frac{-1}{3}<span>=</span><span>\frac{43}{8}</span>
Step 2: Add \frac{1}{3} to both sides.<span><span><span>
w+</span></span></span>\frac{-1}{3}<span><span>+</span></span><span>\frac{1}{3}</span><span>=</span>\frac{43}{8}<span>+</span><span>\frac{1}{3}</span><span>
w=</span><span>\frac{137}{24}</span>


Answer:<span>w=5</span><span>\frac{17}{24}</span>
6 0
3 years ago
QUESTION 2
Rasek [7]

Answer:

0.3

Step-by-step explanation:

3/10 equals 0.3. Hope this helps :)

6 0
3 years ago
Simplify (12b*7) / (4b*5)
Alla [95]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ First, just divide the numbers:

12/4 = 3

When dividing values with exponents, you have to subtract the exponents:

7 - 5 = 2

Therefore, your answer would be option B. 3b^2

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

5 0
2 years ago
Read 2 more answers
Determine the range of the function.
Naya [18.7K]

Answer:

Solution: f(x)\ge-5\\Interval:[-5,\infty)

Step-by-step explanation:

Equation: \frac{1}{4} x^2-5 = y

1). \frac{1}{4} x^2-5 = y →\frac{x^2}{4}-5=y

2). \frac{x^2}{4}-5=y ∴ a=\frac{1}{4}, b=0, c=-5

3). x_v=-\frac{b}{2a}

         =-\frac{0}{2(\frac{1}{4})}

         =0

4). now plug x_v into y_v

y_v=\frac{0^2}{4}-5

    =-5

5). Minimum (0,-5) ∴ f(x)\ge-5

4 0
3 years ago
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