two solutions is correct, but the equation for a circle is: (x-a)^2 + (y-b)^2 = r^2; where (a, b) is the center of the circle, so (x-0)^2 + (y-1)^2 = 9 The points of intersection are: (1.836377228, 3.372281323) and (-1.836377228, -1.372281323)
18; for the six faces, the sums of opposing sides are 18 and 10, 14 and 14, and 18 and 10. I numbered the vertices as such: plane 7, 6, 1, 4; corresponding plane 0, 5, 2, 3
one pound; Each bag weighs 2 pounds. If the bag is 2/3's full, one additional pound will fill it.
d) 20; transitive property, so 2v + 10 = 1.6v + 18
a) (-4, 0); Find the slope of each set of points. Set up both equations, using the slope for each, in the form y = mx + b. Insert each slope. Use a point from each equation to determine the y-int for each (-4 and 8, respectively). Solve using systems of equations.
You have the correct answer. Use your calculator for your choices and see which one gives you the same answer: both 1st and last answers give the same answer, but the last one is the correct answer. By the way, you are correct in using the Pythagorean Theorem, which gives hyp ...
Did you draw a picture? The distance between opposite corners of the walking path (rectangle, in this case) would be the hypotenuse of a right triangle. Thus, we can use the Pythagorean Theorem: HYP^2 = leg^2 + leg^2 Let x = length; 7x = width, so HYP^2 = x^2 + (7x)^2 HYP^2 = ...
Is this written correctly? Usually the height is longer than the width! Again, draw a picture. Another right triangle. Let x = height; let 2x = width. Using Pythagorean Theorem: hyp^2 = x^2 + (2x)^2 hyp^2 = x^2 + 4x^2 hyp^2 = 5x^2 take square root of each side: hyp = x * sqrt(5)
Cynthia. Find the unit rate of each. 15 / 12 = 1.25 miles per minute. 26 / 20 = 1.3 miles per minute. The 1.3 is faster which means will arrive first.
There is a formula, called the standard future value formula: 54 * (1 + .025)^10 = future value = $69.12