(-3)(7) = -21.
y^8 and c^3 have different bases (y and c) and thus cannot be merged.
So we end up with -21c^3y^8.
Answer: the length is 15 m and the width is 5 m
Step-by-step explanation:
Let L represent the original length of the rectangle.
Let W represent the original width of the rectangle.
The length of a rectangle is three times it's width. This means that
L = 3W
If the width is diminished by 1 m and length is increased by 3 m, the area of the rectangle that is formed is 72 m². This means that
(L + 3)(W - 1) = 72
LW - L + 3W - 3 - 72 = 72 + 3
LW - L + 3W = 75 - - - - -- - - - - - 1
Substituting L = 3W into equation 1, it becomes
3W × W - 3W + 3W = 75
3W² = 75
W² = 75/3 = 25
W = √25 = ±5
The width cannot be negative. Therefore, the width is 5 m
L = 3W = 3 × 5 = 15 m
Answer:
The new point should be 8,-5.
Step-by-step explanation:
Answer:
39
Step-by-step explanation:
The angles are equal. This means that the triangle is equilateral and all the sides are equal to each other.
Set any two sides equal to each other.
2x - 3 = x + 5
x - 3 = 5
x = 8
Now substitute this x value into all the sides and add the numbers up.
2(8) - 3 = 16 - 3 = 13
So we know all 3 sides equal 13.
13 * 3 = 39
Answer:
Step-by-step explanation:
For this I would find two friendly points like (60,10) and (70,30). Now we will plug in for the slope-intercept formula 
.
So...
Now we plug in and solve...
So the slope will be 2.
