<h2>
Hello!</h2>
The answer is:
Center: (-4,-4)
Radius: 2 units.
<h2>
Why?</h2>
To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:
Where:
"h" and "k" are the coordinates of the center of the circle and "r" is its radius.
So, we need to complete the square for both variable "x" and "y".
The given equation is:
So, solving we have:
Now, we have that:
So,
Center: (-4,-4)
Radius: 2 units.
Have a nice day!
Note: I have attached a picture for better understanding.
Answer:
0.4 ft
Step-by-step explanation:
It can be convenient to let a spreadsheet compute the values for you. Here, we have written an explicit formula for the height of the n-th bounce:
h = 5.5×0.64^(n-1)
We have written the formula this way because we are given the height of the first bounce, not the starting height. Each bounce multiplies the height by a factor of 0.64. Then the 7th bounce will have a height of ...
h = 5.5×0.64^6 ≈ 0.378 ≈ 0.4 . . . . feet
Answer:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.
Step-by-step explanation:
Answer:
<span>(−2, 3), because both lines pass through this point
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</span>hope that helps
Answer:
Exact form: x = 
Rounded to the Nearest Tenth: x = 12.9
Step-by-step explanation:
<em>In the right-angled triangle, we can use the trigonometry functions to find the length of a side or a measure of an angle</em>
In the given figure
∵ ∠C is the right angle
∴ ΔACB is a right triangle
∵ m∠B = 57°
∵ AC = 10.8
∵ AC is the opposite side of ∠B
∵ AB is opposite to the right angle
∴ AB is the hypotenuse
∵ AB = x
→ We can use the function sine to find x
∵ sin∠B = 
∴ sin∠B = 
→ Substitute the values of ∠B, AC, and AB in the rule of sine above
∴ sin(57°) = 
→ By using cross multiplication
∵ x × sin(57°) = 10.8
→ Divide both sides by sin(57°)
∴ x =
∴ x = 12.87752356
→ Round your answer to the nearest tenth
∴ x = 12.9
Exact form: x =
Rounded to the Nearest Tenth: x = 12.9
