The answer:
the vertex formula is V( -b/2a, f((-b/2a) )
so if The graph of y=ax^2+bx+c is a parabola that opens up and has a vertex at (0,5), then -b/2a = 0, implies b = 0, and when b =0 f((-b/2a = 0/2a=0))=f(0)
in our case, f(x)=<span>ax^2+bx+c, and it implies f(0) = c </span>≠ 5
so there is no value of a, b and c which verifies the equation of vertex, the set solution is {∅} (the empty set)
Answer:
A - (20% of A) = 80% of A + (20% of (80% of A) = 96% of A
So if A is 100:
100 - (.2 * 100) = 80 + (.2 * 80) = 96
Step-by-step explanation:
Answer:
19 or √145 ≈ 12.04
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
Distance = √
(
x
₂ − x
₁
)² + (
y
₂ − y
₁
)
²
Substitute the actual values of the points into the distance formula.
√
(
4 − ( − 5
))
² + (
(
−
5
)
−
3
)
²
Simplify:
√
145
The result can be shown in multiple forms.
Exact Form:
√
145
Decimal Form:
12.04159457 … ≈ 12.04
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, but I would show how to solve.
Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, translation, rotation and dilation.
Dilation is the enlargement or reduction of the size of an object by a factor.
If a point A(x, y) is dilated by a factor k with a center of dilation at (a, b), then the new point is:
A'(x, y) = [k(x - a) + a, k(y - b) + b]
Let us assume that point A(2, 0) dilation with a scale factor of 2 centered at (1, 2). Hence the new point is:
A'(x, y) = [2(2 - 1) + 1, 2(0 - 2) + 2] = (3, -2)
If I understood correctly:
on 7 out of 10 days it's raining? so on 3 out of 10 days it is not raining. (10-3=7)
and the question is: in 90 days, on how many of those would it rain and on how many not? ( correct me if I'm wrong, I think You had some typos and I couldn't understand the question)
so in 90 days there are 9 times 10 days. If in every one of those 10 days on 7 it's raining, then it's raining on 9*7=63 days!
and days when it is not raining are: 90-63=27!
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