Length AC
A(-3,-3), C(3,2)
d= (3-(-3))^2 + (2-(-3))^2
d= (6)^2 + (5)^2
d= 36+ 25
Square root 61 = 7.8
Length AC = 7.8
Length BC
B(1,-2) , C(3,2)
d= (3-1)^2 + (2-(-2))^2
d= (2)^2 + (4)^2
d= 4+ 16
Square root 20 = 4.5
Length BC= 4.5
Hope this helps!
Answer:

Step-by-step explanation:
The point-slope form of ane equation of a line:

<em>m</em><em> - slope</em>
<em>(x₁, y₁)</em><em> - point on a line</em>
<em />
We have:

y-intercept is for x = 0.
Therefore, if y-intercept = 0, then we have the point (0, 0).

Substitute:

Tens: 850
Hundredths: 852.97
Tenths: 853
Thousandths: 852.971
Ones: 853
Answer:
80
Step-by-step explanation:
First recall that:
1 inch=12 feet
The volume of cube-shaped boxes with 12-inch edges is 1 cm³
The volume of a box that is 4
feet tall, 4 feet long, and 5 feet wide is
given by:

We substitute l=4ft, w=5ft and h=4ft
To obtain:

Therefore 80 cube-shaped boxes with 12-inch edges can fit into a box that is 4
feet tall, 4 feet long, and 5 feet wide.
Answer:
The probability that exactly three of them are comfortable with delivery by drones is 0.2583.
Step-by-step explanation:
Let <em>X</em> = number of consumers comfortable having drones deliver their purchases.
The probability of the random variable <em>X</em> is, P (X) = <em>p</em> = 0.43.
Then <em>q</em> is, <em>q</em> = 1 - p
A sample of <em>n</em> = 5 consumers are selected.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.
The pmf of <em>X</em> is:

Compute the value of P (X = 3) as follows:

Thus, the probability that exactly three of them are comfortable with delivery by drones is 0.2583.