The answer is the product of their slope is -1.
First, let's break this down. Perpendicular lines are line with opposite reciprocal slopes. Opposite meaning the inverse sign and reciprocal meaning flipped.
For instance,
If a line had the slope of 5, its inverse would have a slope of -1/5.
Now, if we multiply these numbers together,
5 * -1/5 = -1
The 5's cancel out.
This works for any two perpendicular lines
Answer:
3π sq.feet
Step-by-step explanation:
Area of the square = L²
L is the length of the square
Given
Area of the square = 12 ft square
12 = L²
L = √12
L = 2√3 feet
Since the circle is inscribed in the square, the length of the square will be the diameter of the circle;
Area of the circle = πd²/4
Area of the circle = π(2√3)²/4
Area of the circle = 12π/4
Area of the circle = 3π sq.feet
<u>Answer:</u>
The system of equations are
x + y = 2600 …….equation (1)
and, 6x + 5y = 13700 ……equation (2)
<u>Explanation:</u>
Let x = amount of sales of phone;
y = amount of sales of computer
For phone, 6% of sales is 6% of x, or 6% * x = 0.06x.
Similarly for computer,
5% of y = 0.05y
Given the total sales; x + y = 2600
And commission; 0.06x + 0.05y = 137; or 6x + 5y = 13700
Therefore the system of equations are
x + y = 2600 …….equation (1)
6 x + 5 y = 13700 ……equation (2)
Answer:
the answer is 10 to the 5th power
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
5% of 120 were late
= 
× 120
= 0.05 × 120
= 6
