Step-by-step explanation:
vector AB(3-(-6); 5-7)
vector AB(9;-2)
AB=
=
M is the midpoint of AB
we have B(-5;10) and M(1;7)
let A(x;y)
(x-5)/2 = 1 ⇒ x-5 = 2⇒ x = 7
(10=y)/2 = 7⇒ 10+y = 14 ⇒y= 4
so : A(7;4)
the center of the circle is the midponit of the line joining both ends of the diameter
let A(x;y) be the other end
(-2+x)/2 = 2 ⇒ -2+x = 4⇒ x= 6
(5=y) = -1 ⇒ 5+y = -2 ⇒ y= -7
so the coordinates of the other end are (6; -7)
A,B and C are collinear such as AB=BC so b is the midpoint of AC
(-5+1)/2 = y ⇒ y = -4/2 ⇒ y = -2
((-3=x)/2 = 7 ⇒ -3+x = 14 ⇒ x = 17
so x= 17 and y = -2
5% of 1000 is 5 * 1000 / 100 = 5000 / 100 = 50.
Answer:
x = 44
Step-by-step explanation:
4+4+2x+2x= 96
-(add like terms)
8+4x=96
-(subtract 8 from both sides)
4x=88
-(divide by 4 on both sides to get you x alone)
x=44
Nearest tenth = 8.0
Nearest hundredth = 7.95
Nearest ones = 8
Here is how to get the Surface Area of a triangular prism.
First you must find their areas first then multiply it by 2 (because it has 2 faces) except for the base, since it has a triangular base.
A = bxh/2 A = 15 m x 30 m A = 30 m x 18 m
= (18 m x 12 m )/2 = 450 m^2 = 540 m^2
= 216 m ^2/2
= 108 m^2
Add all the faces:
SA = 2 (108 m^2) + 2 (540 m^2 ) + <span> 450 m^2
= 216 m^2 +1080 m^2 + </span><span>450 m^2
= 1,746 m^2
The answer is not found in your choices. The attached picture is also showing m (meter) as the unit used not cm.....so I guess you got the wrong choices.</span>