The value of z is zero
Step-by-step explanation:
The slope is the steepness of the line.
The formula for slope is given by:

Here
(x1,y1) = (1,z)
(x2,y2) = (2,8)
So,

The value of z is zero
Keywords: slope, Line
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Answer:
64 cm^2
Step-by-step explanation:
Area of Shaded Region = Area of Parallelogram - Area of Rectangle
Area of Parallelogram = 10 * 7 = 70
Area of Rectangle = 2 * 3 = 6
70 - 6 = 64 cm^2
The expanded algorithm is given as follows:
4 x 57 = (4 x 50) + (4 x 7) = 200 + 28 = 228
The standard algorithm is given as follows:
Answer:
Total number of ways will be 209
Step-by-step explanation:
There are 6 boys and 4 girls in a group and 4 children are to be selected.
We have to find the number of ways that 4 children can be selected if at least one boy must be in the group of 4.
So the groups can be arranged as
(1 Boy + 3 girls), (2 Boy + 2 girls), (3 Boys + 1 girl), (4 boys)
Now we will find the combinations in which these arrangements can be done.
1 Boy and 3 girls =
=24
2 Boy and 2 girls=
3 Boys and 1 girl = 
4 Boys = 
Now total number of ways = 24 + 90 + 80 + 15 = 209