(1 + 1 + 1 + 1 + 1 + 1 + 1
) and (
) represents the amount of green paint that Candita used drawing green lines on the painting.
Answer:
- dimensions: 12 ft by 5 ft
- area: 60 ft²
Step-by-step explanation:
Let x represent the shorter dimension in feet. Then the longer one is x+7 and the Pythagorean theorem tells us the relation of these to the diagonal is ...
x² + (x+7)² = 13²
2x² +14x + 49 = 169 . . . . eliminate parentheses
x² +7x -60 = 0 . . . . . subtract 169 and divide by 2
(x +12)(x -5) = 0 . . . . factor the equation
x = -12 or +5 . . . . . . . only the positive value of x is useful here.
The short dimension is 5 ft, so the long dimension is 12 ft. The area is their product, 60 ft².
_____
<em>Comment on finding the area</em>
The quadratic equation above can be rearranged and factored as ...
x(x +7) = 60
Since the dimensions of the garden are x and (x+7), this product is the garden's area. This equation tells us the area is 60. We don't actually have to find the dimensions.
Answer:
124.5
Step-by-step explanation:
All you need to do is multiply.
15*8.3=124.5
This is because The total water in Ari's fish tank has 15 gallons, and each gallon has 8.3, so you multiply.
C. (1,-4)
Vertex is the point where the parabola begins. The vertex is one unit to the right on the x axis and 4 units down on the y axis which gives you the coordinate (1,-4)
