Answer:
d(x) = √[(x - 2)² + (3x - 1)²]
Step-by-step explanation:
The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
So, the distance between point (2,0) and a point (x,y)
d = √[(x - 2)² + (y - 0)²]
d = √[(x - 2)² + (y)²]
But the point (x,y) is on the line y = 3x - 1
We can substitute for y in the distance between points equation.
d(x) = √[(x - 2)² + (3x - 1)²]
QED!
15. MP(5,11) S(3,5) M(x,y)
(3+x)/2 = 5 x=7
(5+y)/2 =-11 y=-27
M(7,-27) is the other point
Answer:
x= 3/5
Step-by-step explanation:
SOH-CAH-TOA
You have the adjacent and hypotenuse so you will use Cosine
cos=adj/hyp
adj=3
hyp=5
3/5 = cos (or theta)
Answer is A. It is the center of the circle that can be inscribed in a given triangle
Explanation
The circumcenter is called ”the circumcenter” because it is the center of the circle that ”circumscribes” the triangle.
Answer:
6(base) x 3.5(Height) = 21, 21 divided by 2 (x 1/2) = 10.5
10.5(area of triangle) x 7.75(width) = 81.375
Formula of an area of a triangle:
BH x 1/2
Base x Height x 1/2(basically just dividing by 2)
Now the base:
1.5 x 7.75 x 6 = 69.75
Now let's add the two given volumes:
81.375+ 69.75 = 151.125 ft^3 is your answer.
