Answer: v=42
Step-by-step explanation:
18+(6)(4)
Answer:
2x + y + 5 = 0
Step-by-step explanation:
y − 1 = -2 (x + 3)
y − 1 = -2x − 6
2x + y + 5 = 0
Answer:
The correct answer is first option. 204 m²
Step-by-step explanation:
Formula:-
Lateral surface area of square pyramid = 4 * area of triangle
<u>To find the slant height of triangle(l)</u>
l = √(6² + 6²) = 6√2
To find the area of triangle
Area = bh/2
b = 12 m
h = 6√2
Area = (12 * 6√2)/2 = 36√2
<u>To find the lateral surface area of Prism</u>
Lateral surface area of square pyramid = 4 * area of triangle
= 36√2 * 4 = 203.64 ≈ 204 m²
First answer is the correct option
Answer:
On occasions you will come across two or more unknown quantities, and two or more equations
relating them. These are called simultaneous equations and when asked to solve them you
must find values of the unknowns which satisfy all the given equations at the same time.
Step-by-step explanation:
1. The solution of a pair of simultaneous equations
The solution of the pair of simultaneous equations
3x + 2y = 36, and 5x + 4y = 64
is x = 8 and y = 6. This is easily verified by substituting these values into the left-hand sides
to obtain the values on the right. So x = 8, y = 6 satisfy the simultaneous equations.
2. Solving a pair of simultaneous equations
There are many ways of solving simultaneous equations. Perhaps the simplest way is elimination. This is a process which involves removing or eliminating one of the unknowns to leave a
single equation which involves the other unknown. The method is best illustrated by example.
Example
Solve the simultaneous equations 3x + 2y = 36 (1)
5x + 4y = 64 (2) .
Solution
Notice that if we multiply both sides of the first equation by 2 we obtain an equivalent equation
6x + 4y = 72 (3)
Now, if equation (2) is subtracted from equation (3) the terms involving y will be eliminated:
6x + 4y = 72 − (3)
5x + 4y = 64 (2)
x + 0y = 8