Answer:
vertex is (4,-25)
Step-by-step explanation:

To find out the vertex we use formula

From the given f(x), the value of a=1, b=-8 and c=-9
Plug in the values in the formula

x=4
Now find the value of y
plug in 4 for x in f(x)

The value of y is -25
The vertex is (4,-25)
Answer:
x ≈ 58.9
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
- [Right Triangles Only] tan∅ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use trig to find the missing side length.
<u>Step 2: Identify Variables</u>
<em>POV from the angle measure</em>
Angle = 23°
Opposite Leg = 25
Adjacent Leg = <em>x</em>
<em />
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitution [tangent]: tan23° = 25/x
- Multiply <em>x</em> on both sides: xtan23° = 25
- Isolate <em>x</em>: x = 25/tan23°
- Evaluate: x = 58.8963
- Round: x ≈ 58.9
Answer:
48
Step-by-step explanation:
12 x 4 = 48
Diameter 4m, radius is half,
Radius Answer: 2 m
Volume is
V = (4/3)πr³ = (4/3)π 2³ = (4/3)π(8) = (32/3) π
Answer: 32/3 (× π cubic meters)