Answer:
x = ±√37/9
Step-by-step explanation:
x² = 37/81
√(x²) = √(37/81)
x = ± √(37)/√(81)
x = ± √37/9
Answer:
Area of the whole rectangle = 11 x 12
= 132 cm^2
Area of the circle = πr^2
= 3.14 x 2 x 2
= 12.56 cm^2
Area of the shaded region = area of rectangle - area of circle
= 132 - 12.56
= 119.44 cm^2
Hope this helps!
Answer:
306 inches
Step-by-step explanation:
80% = 0.8
170 inches × 80% = 170 × 0.8 = 136
The truck is 80% longer than the boat. 80% of the boat is 136.
So, the boat is 170 inches + 136 inches = 306 inches.
For part a: you just need to find how far the vertex has been moved from the origin, or the point (0,0). As the vertex is at the point (2,-3), it has been translated right 2 horizontally and down 3 vertically.
For part b: you use the info found in part a to create the equation in the form of y=A(x-h)^2+k. In this case, A =1, so you can ignore it. The h value is the horizontal distance the vertex has been moved. Since it has been moved right 2, this part of the equation would be (x-2). I know it seems like it should be plus 2, but values in parentheses come out opposite. For the k value, find the vertical shift, which is down3, or -3.
Now that you have h and k, substitute them back into the equation.
Your final answer for part b is: y=(x-2)^2 -3.
