Answer:
x + y = 11
10x + 5y = 80
Step-by-step explanation:
Let's solve for x:
100x=1000
Divide by 100
x=10
You should expect to win 10 times.
9514 1404 393
Answer:
- 6x +y = -6
- 6x -y = 8
- 5x +y = 13
Step-by-step explanation:
To rewrite these equations from point-slope form to standard form, you can do the following:
- eliminate parentheses
- subtract the x-term
- subtract the constant on the left
- if the coefficient of x is negative, multiply by -1
Of course, any operation you do must be done <em>to both sides of the equation</em>.
__
1. y -6 = -6(x +2)
y -6 = -6x -12 . . . . . eliminate parentheses
6x +y -6 = -12 . . . . . add 6x
6x +y = -6 . . . . . . . . add 6
__
2. y +2 = 6(x -1)
y +2 = 6x -6
-6x +y +2 = -6
-6x +y = -8
6x -y = 8 . . . . . . . . multiply by -1
__
3. y -3 = -5(x -2)
y -3 = -5x +10
5x +y -3 = 10
5x +y = 13
_____
<em>Additional comment</em>
The "standard form" of a linear equation is ax+by=c for integers a, b, c. The leading coefficient (generally, 'a') should be positive, and all coefficients should be mutually prime (have no common factors). That is why we multiply by -1 in problem 2.
Answer: 43690
Step-by-step explanation:
Answer:
The area of the rectangle is 42 units^2
Step-by-step explanation:
we know that
The area of rectangle is equal to
In this problem
AB=DC
BC=AD
see the attached figure with letters to better understand the problem
we have that
the formula to calculate the distance between two points is equal to
we have the points
<em>Find out the distance BC</em>
we have
substitute in the formula
<em>Find out the distance AB</em>
we have
substitute in the formula
<em>Find out the area</em>
we have
substitute
