Answer: 39 inch²
Step-by-step explanation:
The rectangle's area was:
= Length * Width
= 6 * 8
= 48 inches²
The square's area is:
= Length * width
= 3 * 3
= 9 inches²
The square was cut out of the rectangle which means the area of the square should be deducted from the rectangle to find out the remaining area.
= 48 - 9
= 39 inch²
To simplify these expressions, you can either use a calculator (which I'm assuming your teacher doesn't want you to do) or FOIL (distribute).
The first one would be:
The second one would be:
Answer: 2.1 Find the Vertex of y = x2-17x-50
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 8.5000
Plugging into the parabola formula 8.5000 for x we can calculate the y -coordinate :
y = 1.0 * 8.50 * 8.50 - 17.0 * 8.50 - 50.0
or y = -122.250
Step-by-step explanation:
64 muffins and 57 cupcakes. Since no muffins were sold, the amount of muffins wouldn't change. Since 15 cupcakes were sold, you just subtract 15 from the total amount of cupcakes (3 * 24 = 72; 72 - 15 = 57).
Answer:
Which is a solution of tan x = square root of three divided by 3
