Answer:
a^2 +b^2=c^2
Given vertices of the triangle are A(4,4),B(3,5) and C(−1,−1)
We know that slope of line passing through the points (x 1,y 1) and (x 2,y 2
) is given by m= x 2−x 1
y
2
−y
1
,x
2
=x
1
Slope of AB i.e.m
1
=
3−4
5−4
=−1
Slope of BC i.e.m
2
=
−1−3
−1−5
=
−4
−6
=
2
3
Slope of CA i.e. m
3
=
4+1
4+1
=
5
5
=1
Clearly, m
1
m
3
=−1
⇒ line segments AB and CA are perpendicular to each other i.e; the given triangle is right angled at A(4,4).
Thus the points (4,4),(3,5) and (1,1) are the vertices of a right angled triangle.
Step-by-step explanation:
2. Distributive Property
4 is distributed and multiplied inside the parenthesis to x and -5.
4. Subtraction Property of Equality
x is subtracted from both sides of the equation.
4x - x - 22 = x - x + 3
3x - 22 = 3
5. Subtraction Property of Equality
22 is added to both sides of the equation.
3x - 22 + 22 = 3 + 22
3x = 25
6. Division Property of Equality
3 is divided from both sides of the equation.
= 
x = 
Answer:
The owner makes $2 in sales per customer
Note: The "Amount of sales" label of the question is phrased poorly. s could be better labeled "profit from sales" or at least "Amount made from sales", etc.
Step-by-step explanation:
If you logically think about how the answer (now that you know it) relates to the question, it should make simple sense.
i.e. if you consider the first column where $24 is made from 12 customers, and divide the $24 made by the 12 customers, you'll see that each customer spends $2.
I think the answer is the third one, but idk.
Answer: 
Step-by-step explanation:
The area of a rectangle can be calculated with this formula:

Where "l" is the length and "w" is the width.
You can identify from the figure that the length and the width of this rectangle are:

Then, you need to substitute this lenght and this width into
:

Now, apply Distributive property:

Finally, you need to add the like terms. Then, you get:
