Step-by-step explanation:
let
(-7,-8) =(x1, y1)
and (-6,7)=(x2, y2)
by the formula
d=√(y2-y1) ²+(x2-x1) ²
=√(7+8)²+(-6+7)²
=√15²+1²
= √225+1
= √226
Answer:
Faces = 6
Vertices = 8
Edges = 12
Step-by-step explanation:
In a solid geometric shape :
A face is a flat surface : faces = 6
A vertex (plural: vertices) is a Corner : vertices = 8
An edge is a particular type of line segment joining
two vertices : Edges = 12
Answer:
x = 13.5
Step-by-step explanation:
To find x, we use the sine rule
For the sine rule,
the ratio of the sides to the sine of the angle facing the side is equal for all the sides of the triangle
Thus,
x/sin 34 = 11/ sin 27
x = 11 sin 34/sin 27
x = 13.5
Answer:
Step-by-step explanation:
You can start by recognizing 19/12π = π +7/12π, so the desired sine is ...
sin(19/12π) = -sin(7/12π) = -(sin(3/12π +4/12π)) = -sin(π/4 +π/3)
-sin(π/4 +π/3) = -sin(π/4)cos(π/3) -cos(π/4)sin(π/3)
Of course, you know that ...
sin(π/4) = cos(π/4) = (√2)/2
cos(π/3) = 1/2
sin(π/3) = (√3)/2
So, the desired value is ...
sin(19π/12) = -(√2)/2×1/2 -(√2)/2×(√3/2) = -(√2)/4×(1 +√3)
Comparing this form to the desired answer form, we see ...
A = 2
B = 3
Answer:
The correct answer is
(x + 2) (x + 1) (x - 3)
Step-by-step explanation:
