First, determine the center of the circle by getting the midpoint of the points given for the circumference.
midpoint = ((0 + 0)/2, (3 + -4)/2)
midpoint (0, -0.5)
Then, we get the radius by determining the distance from either of the circumferential point to the center.
radius = √(0 - 0)² + (3 +4)² = 7
The equation for the circle would be,
x² + (y + 0.5)² = 7²
Answer:
Step-by-step explanation:
⟾Collect like terms
⟾Move the variable to the left
⟾Collect like terms again
⟾Divide both sides by -3
⟾ x = 45 ÷ 3
Hope it's helps you
Answer:
The statement provided is True.
Step-by-step explanation:
The exponential function representing growth is given as follows:
Here,
<em>y</em> = final value
<em>y</em>₀ = initial value
<em>k</em> = growth rate
<em>t</em> = time passed
As the function 
is increasing, then the exponential function representing growth is also increasing.
Thus, the statement provided is True.
This is the concept of volumes of solid figures, given that the height of the right rectangular prism and the oblique triangular prism are 12 cm and both prisms have the same volume, we can conclude that:
Horizontal cross-sections of the prisms at the same height have the same area.
Answer: the length of the extended ladder is 8√3 feet or 13.9 feet
the distance between the wall and the bottom of the ladder is 4√3 feet or 6.9 feet
Step-by-step explanation:
The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height from the top of the ladder to the base of the building represents the opposite side of the right angle triangle.
The distance from the bottom of the ladder to the base of the building represents the adjacent side of the right angle triangle.
To determine the extended length of the ladder h, we would apply
the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin 60 = 12/h
√3/2 = 12/h
h = 12 × 2/√3 = 24√3
h = 24√3 × √3/√3
h = 8√3
To determine the distance between the wall and the bottom of the ladder d, we would apply
the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse.
Therefore,
Cos 60 = d/8√3
0.5 = d/8√3
d = 0.5 × 8√3
d = 4√3
