We have that
<span>points A (-5, 6) and B (7, -1)
Part A)
find the distance
d=</span>√[(y2-y1)²+(x2-x1)²]-------> d=√[(-1-6)²+(7+5)²]----> d=√(49+144)
d=√193 units
Part B)
find the midpoint
ABx=(x1+x2)/2-----> (-5+7)/2-----> ABx=1
ABy=(y1+y2)/2-----> (-1+6)/2-----> ABy=2.5
the midpoint is (1,2.5)
Part C)
find the slope
m=(y2-y1)/(x2-x1)-----> m=(-1-6)/(7+5)--------> m=-7/12
the slope m=-7/12
Answer: AB=√17, AD=√98,6
Step-by-step explanation:
AB²=BC²+AC²-2*BC*AC*cosACB
AB²=5²+4²-2*5*4*0,6=25+16-24=17
AB=√17
AD²=AC²+CD²-2*AC*CD*cosACD
cosACD=cos(180°-ACB)=-cosACB
AD²=4²+7²-2*4*7*(-0,6)=16+49+33,6=98,6
AD=√98,6
You will choose 1 cheese 3 different ways because there are three types of cheeses.
You will choose your topings 6 different ways. 4!/(2!2!) = 4*3/2 = 6
Therefore you will be able to get 6 * 3 different pizzas = 18 pizza combinations.
To confirm the toppings, suppose they are (M)ushrooms (P)epperoni (O)nions and (B)acon
M P
M O
M B
P O
P B
O B
Total 6.The order doesn't matter here. M O is the same thing as OM
Answer:
Step-by-step explanation:
16x > 2x - 3
Subtract 2x from both sides
14x > -3
Then divide; -3/14
<span>6x3/7
6 x 3=18\7
answer=2 4\7</span>