Answer:
254.4 in²
Step-by-step explanation:
Area of a circle is given by the formula:

Our radius is 9 so we substitute this into the equation:
π(9)² = 81π
81π = 254.4 in²
Root of x = 4 means (x - 4) is a factorMultiplicity of two means that (x - 4) is used twice root of x= -4 means that (x+ 4) is a factormultiplicity of 1 means it is used once so y = a (x-4) (x-4) (x + 4)y = a (x^3 - 4x2 - 16x + 64)
Thus, any polynomial with these zeroans d as a minimum these multiplicities will be a multiple (scalar or polynomial) of this P(x).
see the attached figure to better understand the problem
we have that

Step 1
<u>Find the value of AC</u>
we know that
in the right triangle ABC

substitute the values in the formula

Step 2
<u>Find the value of BC</u>
we know that
in the right triangle ABC
Applying the Pythagorean Theorem

substitute the values

Step 3
<u>Find the value of BD</u>
we know that
in the right triangle BCD
Applying the Pythagorean Theorem

substitute the values


therefore
<u>the answer is</u>
the length of BD is 11.93 units
Answer:
Option D
Step-by-step explanation:
Given:
- Center point: (-5, 4)
- Radius: 7
<u>Formula:</u>
Equation of circle: (x - h)² + (y - k)² = r²
[Where (h, k) is the center point and "r" is the radius of the circle]
<u>Substitute the coordinates of the center point in the formula:</u>
Given center point: (-5, 4)
∴ x-coordinate of center point (h) = -5; y-coordinate of center point (k) = 4
- ⇒ (x - h)² + (y - k)² = r²
- ⇒ [x - (-5)]² + [y - 4]² = r²
<u>Substitute the radius in the formula:</u>
Given radius: 7
- ⇒ [x - (-5)]² + [y - 4]² = r²
- ⇒ [x - (-5)]² + [y - 4]² = (7)²
<u>Simplify both sides of the equation:</u>
- ⇒ [x + 5]² + [y - 4]² = (7)(7)
- ⇒ [x + 5]² + [y - 4]² = 49 <u>(Option D)</u>
Therefore, Option 4 is correct.
Answer:
This is an equation for a parabola. All parabolas are functions.
answer: function
Step-by-step explanation
Function