The answer is B.33, this is because the numbers are increasing by 2's. (+2,+4+,+6, ect.)
Y = -3(2) + 11
y = -6 + 11
y = 5
Answer is a) y = -3x + 11 , when x is 2 y is 5
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.
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<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:
The width of the similar rug is 3 ft
Step-by-step explanation:
Calculate the percentage between the lengths:
3/9 = 1/3 (percentage)
The percentage is fixed for the widths as well which means 1/x = 1/3
x=3
Since the graph is moving positive from left to right, x is positive. so now we are left with B) and C) for our answer
now, the y intercept or b is -3 as shown in the graph
the answer is C) y= x -3
