Answer:

Step-by-step explanation:
we can easily calculate the perimeter of three points, using vectors. See the picture...
Answer:
35 ft²
Step-by-step explanation:
The shape is a triangle and its area is given by the formula below:
Area of triangle= ½ ×base ×height
Do note that the height has to be the perpendicular height, which is 5 ft in this case.
Area of triangle
= ½(14)(5)
= 35 ft²
Answer:
6^2 + 6^2 = 72 sqrt(72) = 8.49
Step-by-step explanation:
use pythagorean therom a^2 + b^2 = c^2
where c is the hyp.
First find the volume of the box:
V=2*2.2*2.5=11 cm^3
Then find the desity given by grams divided by volume:
density=25.6 g/ 11 cm^3 = 2.327 g/cm^3
Round to the nearest tenth, so 2.3 g/cm^3.
I hope that helped.
Answer:
y=-2x-1
Step-by-step explanation:
First we need to know the slope-intercept equation:
y=mx+b
m: slope
b: y-intercept
First we find the slope:
Slope = (y₂-y₁)/(x₂-x₁)
Use any two x and y values on the table:
Slope = [-5-(-3)]/(2-1) = -2/1 = -2
Now we find the y-intercept:
y=mx+b
y=-2x+b
We plug in a pair of x and y values into the equation:
-3=-2(1)+b
-3=-2+b
b=-1
So the slope-intercept equation is:
y=-2x-1