Area of ABC : AB*AC/2
the maximum of the parabola is reached at x=-4/(2*(-1))=2 hence A is at (2,0) and B is at (2,(-2)^2+4*2+C)=(2,12+C)
C is the second root (x-intersect), which we can find :
determinant1 : D=16-4*(-1)*C=4(4+C) thus the second root is at x=
Hence the area of the triangle is
hence
.
We remark that
Hence 4+C=16 thus
C=12
Answer:
it is proportional
Step-by-step explanation:
constant of proportionality= 4
equation: b=4c
Answer:
27/30
Step-by-step explanation:
30 minus 3 is 27 so that’s the number of females
Answer:
y=-1/4x-6
It crosses the y axis at -6 and has a slope of 1/4
The closest distance up the tree where the wire reaches is 17.93 foot.
<u>Explanation:</u>
Given-
Length of the wire, L = 12 foot
angle, Ф= 48°
Distance upto which the wire reaches the tree, x = ?
We know,
cos Ф = base/ hypotenuse
cos 48° = 12/ x
0.669 = 12/x
x = 17.93 foot
Therefore, the closest distance up the tree where the wire reaches is 17.93 foot.