Answer:
AC = 10 cm
Step-by-step explanation:
We are givne with a triangle ABC is an equilateral triangle with side AB, BC, and AC. We are given that side BC is equal to 10 cm . We are required to find the measurement of side AC.
The basic property of any equilateral triangle is that all the sides are equal. Hence
AB = BC = CA
BC=10 cm
Hence, AB = 10 cm and also AC=10 cm
Answer:
Planes and pulleys can increase the speed of completed work
Step-by-step explanation:
For lines to be perpendicular their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1
So we first need to find the slope of the reference line.
m=(y2-y1)/(x2-x1)=(7-2)/(-1--5)=5/4
So the perpendicular line will have a slope of:
5m/4=-1
m=-4/5
So our perpendicular line so far is:
y=-4x/5+b, now we can use point (3,-1) to solve for the y-intercept, "b"
-1=-4(3)/5+b
-1=-12/5+b
-5/5+12/5=b
7/5=b
So the line is:
y=-4x/5+7/5 or more neatly
y=(-4x+7)/5
y=-0.8x+1.4
Answer:
B.
Step-by-step explanation:
To simplify something that looks like 
you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:
.
If you had 
, then you would multiply top and bottom the conjugate of which is 
.
The conjugate of a+b is a-b.
These have a term for it because when you multiply them something special happens. The middle terms cancel so you only have to really multiply the first terms and the last terms.
Let's see:
(a+b)(a-b)
I'm going to use foil:
First: a(a)=a^2
Outer: a(-b)=-ab
Inner: b(a)=ab
Last: b(-b)=-b^2
--------------------------Adding.
a^2-b^2
See -ab+ab canceled so all you had to do was the "first" and "last" of foil.
This would get rid of square roots if a and b had them because they are being squared.
Anyways the conjugate of 
is
.
This is the thing we are multiplying and top and bottom.
