Answer:
Step-by-step explanation:
Equation: y = 1.5x + 3
10.50 = 1.5x + 3
1.5x = 7.5
x = 5
She played 5 games
Answer:
The equations 3·x - 6·y = 9 and x - 2·y = 3 are the same
The possible solution are the points (infinite) on the line of the graph representing the equation 3·x - 6·y = 9 or x - 2·y = 3 which is the same line
Step-by-step explanation:
The given linear equations are;
3·x - 6·y = 9...(1)
x - 2·y = 3...(2)
The solution of a system of two linear equations with two unknowns can be found graphically by plotting the two equations and finding the coordinates of the point of intersection of the line graphs
Making 'y' the subject of both equations gives;
For equation (1);
3·x - 6·y = 9
3·x - 9 = 6·y
y = x/2 - 3/2
For equation (2);
x - 2·y = 3
x - 3 = 2·y
y = x/2 - 3/2
We observe that the two equations are the same and will have an infinite number of solutions
Answer:
Step-by-step explanation:
A prism is a solid figure and geometric in nature having the shape of its ends parallel to each other and its sides are parallelograms. Each prism are classifies based on the shape of its ends that are parallel to each other.
The name of the prism given in question according to their arrangement <em>from left to right</em> are triangular prism, trapezoidal prism, pentagonal prism and hexagonal prism.
Triangular prism is made up of 5 faces, 6 vertices and 9 edges
The trapezoidal prism is made up of 6 faces, 8 vertices and 12 edges
The pentagonal prism is made up of 7 faces, 10 vertices and 15 edges
The hexagonal prism is made up of 8 faces, 12 vertices and 18 edges
Answer:
(c)Rhombus
Step-by-step explanation:
A parallelogram is a quadrilateral (has four sides) in which opposite sides are parallel to each other. Also for a parallelogram, the opposite sides and angles are equal to each other.
A rhombus is a parallelogram (that is opposites sides and angles are equal to each other and parallel) with all sides of equal length. The diagonals of a rhombus bisect each other at 90° to form four equal right angled triangles with the sides of the rhombus as the hypotenuse.