Answer:
Variant A
Step-by-step explanation:
1)y= - 3x+1
2)y+5= - 3(x-2)
y+5= - 3x+6
y= -3x+1
They are equal
Answer:
Step-by-step explanation:
Substitute into second equation:
Substitute and into the third equation:
Substitute into :
Plug in y and z values into :
Answer:
if a z-score is equal to +1, it is 1 standard deviation above the mean.
Step-by-step explanation:
Answer:
1 and 2 are not polyhedrons, as a circle has infinite sides
1. cone, 1 vertex
2. sphere, nothing
3. pentagonal prism?
wait but can't every face be a base???
anyway 7 faces, 10 vertices
4. triangular prism
5 faces, 6 vertices
Step-by-step explanation:
Answer:
Area of the triangle is 10 square units
Step-by-step explanation:
Recall that the formula for the area of a triangle is: "base x height / 2", and in this case, we can consider the triangle's base as the segment that joins the vertices (5, 4) and (5, 8) which gives a segment length of 4 units. The height of the triangle is then the distance between the third vertex (0,7) and the base, which is exactly 5 units. Then the area becomes:
Area = 4 x 5 / 2 = 10 square units.