From the function y=x^2-4x+7
to complete the square we proceed as follows:
The vertex form is given by:
y=(x-h)^2+k
where (h,k) is the vertex:
thus from the function we shall have:
y=x^2-4x+7
c=(b/2a)²
c=(4/2)²=4
thus adding an subtracting 4 in the expression:
y=x^2-4x+4-4+7
y=(x-2)^2+3
thus the vertex will be:
(2,3)
The answer is:
<span>D. Minimum at (2, 3)</span>
Answer:
X = 13.13 feet
Step-by-step explanation:
Let the distance between Lila and Mark be x.
Let the distance between Avery and lila be A= 20
Let the distance between Avery and Mark be B= 30
Angle x = 200-180=20°
To solve this question we will use the cosine formula which is
X² = A²+ B² -2ABcosx
X²= 20² + 30² -2(20)(30)cos20
X²=1300-1127.6
X²= 172.4
X= 13.13
Answer:
A) (-1’,1‘)
B) (-1’,-2’)
C) (3’,-2’)
D) (3’,2’)
Step-by-step explanation:
A) (-1’,1‘)
B) (-1’,-2’)
C) (3’,-2’)
D) (3’,2’)
Answer: 90 degrees
Step-by-step explanation:
Complementary angles add up to 90 degrees. Since a triangle has 180 degrees total, the other angle is 90 degrees
12/10 + 9/10 = 21/10
21/10 simplified is 2 1/10
