The sum of four and twice a number is 56. Find the number.
2 answers:
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Answer:
Step-by-step explanation:
Step 1: Identity the radius.
Since O is the center of the circle, and C and E lie on the circumference, OC and OE are the radii of the circle and thus,
OC=OE.
Step 2: Consider the rectangle.
All diagonals in a rectangle are congruent so this means
DB= OC ( OC is also a diagonal).
Thus, OC= 10 units.
Step 3: Analyze
So this means OE is also 10 units as well.
Since we know the length of the radius, Use the area of circle,
So the area of a circle is 100 pi.
To complete the identity, we need these fundamental identities:
Thus, by identity 1 we have:
by identity :
recall the values :
,
so:
Putting all these together, we have:
which is equal to
, by identity 3
Answer: D
Thus, by identity 1 we have:
by identity :
recall the values :
so:
Putting all these together, we have:
which is equal to
Answer: D
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (3, 1), hence
y = a(x - 3)² + 1
To find a substitute (- 2, - 4) into the equation
- 4 = a(- 2 - 3)² + 1
- 4 = 25a + 1 ( subtract 1 from both sides )
25a = - 5 ( divide both sides by 25 )
a = - = -
y = - (x - 3)² + 1 ← in vertex form