Answer:
The equation of the line is 2 x - y + 5 = 0.
Step-by-step explanation:
Here the given points are A( 1, 7) & B( -3, - 1) -
Equation of a line whose points are given such that
(
) & (
)-
y -
=
( x -
)
i.e. <em> y - 7=
( x- 1)</em>
<em> y - 7 =
( x -1)</em>
<em> y - 7 = 2 ( x - 1) </em>
<em> y - 7 = 2 x - 2</em>
<em> 2 x - y + 5 = 0</em>
Hence the equation of the required line whose passes trough the points ( 1, 7) & ( -3, -1) is 2 x - y + 5 = 0.
Total tickets sold :
14 + 6 = 20
fraction of child tickets sold = 14/20
then, we convert this fraction to %.
14/20 = 70/100
( multiply by 5 )
percentage = 70%
The product is 
Explanation:
The given expression is 
We need to determine the product of the given expression.
First, we shall simplify the given expression.
Thus, we have,


Expanding the expression, we have,

Now, we shall apply FOIL, we get,

Simplifying the terms, we have,

Multiplying, we get,

Adding the like terms, we get,

Thus, the product of the given expression is 
Answer: $432
Step-by-step explanation: If he marks up the price by 80% then you multiply the price (240) times 0.8, which is 192. That is how much he marks it up -- $192. SO then you add how much he marks it up to the original price of $242 which is $432.
Given:
The figure of triangle ABC.
The area of the triangle ABC is D.

To find:
The value of m and n in the given expression.
Solution:
Let h be the height of the triangle ABC.
Area of a triangle is:

Where, b is the base and h is the height of the triangle.

The area of the triangle ABC is D.


...(i)
In a right angle triangle,


[Using (i)]
...(ii)
We have,
...(iii)
On comparing (ii) and (iii), we get


Therefore, the required values are
.