Answer:
11.313708498984760390413509793678 (round that)
Step-by-step explanation:
use pythag thorem, a^2 + b^2= c^2
a is 8 and b is 8 so square both and add them 64+64= 128
then take square root of 128 to find length c
and you get 11.313708498984760390413509793678
you are welcom
The coordinates of point D is (0, 7)
<h3><u>solution:</u></h3>
The midpoint M of CD has coordinates (2, 5)
Point C has coordinates (4, 3)
To find: coordinates of point D
The midpoint of line AB conatining points
and
is given as:

Here in this problem,
Midpoint (C, D) = (2, 5)


Subsituting the values in formula we get,

On comparing both the sides we get,


Thus the coordinates of point D is (0, 7)
Answer:
Step-by-step explanation:
y=a(x-h)^2+k
-12=a(1-h)^2+k
16=a(3-h)^2+k
subtract
a(3-h)^2-a(1-h)^2=28
a[(3-h)^2-(1-h)^2]=28
a=2
2[(3-h)^2-(1-h)^2]=28
(3-h)^2-(1-h)^2=14
9+h^2-6h-(1+h^2-2h)=14
9+h^2-6h-1-h^2+2h=14
-4h+8=14
-4h=6
h=-3/2
16=2(3+3/2)^2+k
16=2×81/4+k
k=16-81/2=-49/2
so y=2(x+3/2)²-49/2
H = w + 4 ;
V = h × w × l ;
Then, 4200 = ( w + 4 ) × w × 30 ;
4200 ÷ 30 = ( w + 4 ) × w ;
140 = ( w + 4 ) × w ;
w^2 + 4w - 140 = 0 ;
<span><span> <span>For </span><span>ax^2 + bx + c = 0</span><span>, the value of </span>x<span> is given by:</span></span> <span> ;
In our case, a = 1 ; b = 4 ; c = - 140
Roots are - 14 and 10 ;
The correct answer is w = 10inches because w > 0 ;
Finally, h = 14 inches .</span></span>
3(4)-7/y=1/3
12-7/y=1/3
-7/y=1/3-12
-7/y=-35/3
Change signs and cross multiply
21=35y
Y=3/5