Month: August 2015

Find the k area of the triangle. Solution:-   To find the area of the triangle, use the following theorem known as Heron’s Formula. The area K of a triangle…

Find the area k of the triangle.     Solution:-   To find the area of the triangle, use the following theorem. The area K of a triangle equals one-half…

Find the equation of a line that passes through (2,14) and is parallel to the graph of y = 3x + 4. Write the equation in slope – intercept form.…

The   slope of a given line is shown below. Find the slope of a line parallel to the given line and the slope of a line perpendicular to the given…

Subtract and simplify. (6-i) – (8+5i)   Solution:-   First, remove the parentheses. (6-i) – (8+ 5i) = 6 – i – 8 – 5i Next, notice that 6 and…

Express in terms of i.   Solution:-   First, factor the radicands using perfect  square factors. Next , factor into several radicals. Now, simplify each radical if possible. Finally ,…

Express in terms of i.   Solution:-   First, write -196 as -1 times 196. = Next, write as the product of two radicals. = Finally, simplify each radical. =…

Find the midpoint of the segment with the given endpoint. (-2,1) and  (5,3)   Solution:-   To find the midpoint of the segment, use the midpoint formula. If x1 =…

Find the distance between the pair of points. (-5,6) and (2,-1)   Solution:-   To find the distance between two point, use the distance formula. d = If we replace…

A soccer field is 50 yd wide and 90 yd long. If a person walks across the files along the diagonal instead of waking the length and width of the…