Answer:
minimum value of function is
.
Step-by-step explanation:
Given function represents a parabola.
Now, here coefficient of
is positive , so the parabola will be facing upwards and thus the function will be having a minimum.
Now, as we know that minimum value of a parabolic function occurs at
x =
.
Where , b represents the coefficient of x and a represents the coefficient of
.
here, a = 2 , b = -6
Thus
=
=
So, at x =
minimum value will occur and which equals
y = 2×
-
+ 9 =
.
Thus , minimum value of function is
.
Answer:
The triangle ABC is an isosceles right triangle
Step-by-step explanation:
we have
The coordinates of triangle ABC are
A (0, 2), B (2, 5), and C (−1, 7)
we know that
An isosceles triangle has two equal sides and two equal internal angles
The formula to calculate the distance between two points is equal to

step 1
Find the distance AB
substitute in the formula



step 2
Find the distance BC
substitute in the formula



step 3
Find the distance AC
substitute in the formula



step 4
Compare the length sides




therefore
Is an isosceles triangle
Applying the Pythagoras Theorem

substitute


-----> is true
therefore
Is an isosceles right triangle
Answer:
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Answer:
(1.25c) + (1p) ≥ 25
c is the amount of chocolate chip cookies
p is the amount of peanut butter cookies