Answer:
- (5, 9)
- (5, 6)
- (-5,-6)
- (5, -9)
- (-9, -5)
Step-by-step explanation:
Compare the given functions to the vertex form. Match parts to find the values of h and k. The vertex is (h, k).
Vertex form: f(x) = a(x -h)^2 +k
__
f(x) = 5(x - 5)^2 + 9; h = 5, k = 9; vertex: (5, 9)
f(x) = 9(x - 5)^2 + 6; h = 5, k = 6; vertex: (5, 6)
f(x) = 9(x + 5)^2 - 6; h = -5, k = -6; vertex: (-5, -6)
f(x) = 6(x – 5)^2 - 9; h = 5, k = -9; vertex: (5, -9)
f(x) = 6(x + 9)^2 - 5; h = -9, k = -5; vertex: (-9, -5)
G = 4x + 1, solve for x
Start by isolating the x, subtract 1 from both sides:
g - 1 = 4x
Then, divide both sides by 4:
g/4 - 1/4 = x
Hope this helps! :)
Answer:
D. A straight line segment can be drawn between any two points.
Step-by-step explanation:
Euclid of Alexandria was famously known and regarded as the founder of geometry, as well as the father of geometry. He was born in the Mid-fourth century, BC and he specialized in the field of Mathematics. Some of his popular works in the field of Mathematics were Euclid's Elements, Euclidean algorithm and Euclidean geometry.
One of the basic postulate of Euclidean geometry is that a straight line segment can be drawn between any two points.
Others include;
I. All right angles are congruent.
II. All straight line segment is indefinitely extendable in a straight line.
Answer:
V = 4.187r³
Step-by-step explanation:
Volume of a sphere is expressed using the formula;
V = 4/3πr³
r is the radius
Substitute π = 3.14 into the formula
V = 4/3 * 3.14r³
V = 4.187r³
Hence the volume of a sphere in terms of the radius is V = 4.187r³
