Answer:
Step-by-step explanation:
The formula for slope is y2-y1/x2-x1 where y2 and x2 are the x and y coordinates from a coordinate pair and y1 and x1 are the coordinates from another coordinate pair. In this case, 2 coordinate pairs are given: (30,75) and (10, 35) 75-35/30-10 would be your slope, or, 40/20, or simplified, 2.
Your slope is 2
Answer:
5 km
Step-by-step explanation:
We are given the distances walked by Maria;
We are required to determine the displacement from her starting point;
- We are going to use Pythagoras's theorem;
a² + b² = c²
Taking, the distances towards south and towards west as the legs of the triangle;
Then, c² = 3² + 4²
= 25
c = √25
= 5 km
Therefore, the displacement from the starting point is 5 km
<h3>Given :-</h3>


<h3>To find:</h3>


<h3>Solution:-</h3>
Let say it is first equation:-
x=y-1. . . . (1)
and this is second equation:-
x+2y=8 . . . . (2)

Simplifying 1 equation:-
- x = y - 1
- x +1 = y
- y = x + 1
Put this value of y in second equation.

















to find value of y :-
y = x + 1
y = 2 + 1
y = 3

verification:-

1 equation:-
x = y - 1
put value of x and y
2 = 3 - 1
2 = 2
LHS = RHS
Hence verified!

2 equation:-

put value of x and y
- 2 + 2 × 3 = 8
- 2 + 6 = 8
- 8 = 8
LHS = RHS
Hence verified!

Both equation verified!
.°. value of x and y is 2 and 3 respectively
Answer:
<h2>L.A. = 384 cm²</h2><h2>S.A. = 640 cm²</h2>
Step-by-step explanation:
Lateral Area:
We have four congruent triangles with base b = 16cm and height h = 12cm.
The formula of an area of a traingle:

Substitute:


Surface Area:

In the base we have the square with side s = 16cm. The formula of an area of a square:

Substitute:


Answer:
182 should be the 7th term