Solve the equation ,  $\sqrt{2x-5}$√2x−5 - 4 = -x,  Show all work, and verify the solution(s).

Police can estimate the speed a car had been travelling using the length of the skid marks.  One formula used for this purpose is v=-7+8.2 $\sqrt{d}$√ d , where v is the speed, in kilometres per hour, and d is the length of the skid marks, in metres.

c.) What would have been the speed of a car, to the nearest kilometre per hour, that would have resulted in 150m skid marks?

1. The sum of a geometric series is 126. The first term and the common ratio are both 2. How many terms are in the series?

2. Determine t7 of a geometric sequence, where r = 5 and t1 = 2. 

3. Determine the number of terms, n, and the sum, Sn , of the following series. 5 + 13 + 21 + … + 149. 

1. Determine the value of t1 for an arithmetic sequence, where d = 6 and S12 = 432. 

2. Determine t7 of a geometric sequence, where r = 5 and t1 = 2 

Determine t7 of a geometric sequence, where r = 5 and t1 = 2

PLEASE ANSWER AND HELP! IM VERY CONFUSED ON THIS QUESTION:) 

A famous fractal called the Sierpinski Triangle starts with one black triangle. The triangle is then cut into four equal pieces, and the three outer triangles are coloured black and the inner triangle is white. Each of the three black triangles is again divided into four equal triangles, and the three outer triangles are shaded black.

a. Suppose the area of the first triangle is 100 cm2. Determine the black shaded area in the second triangle. Do the same for the third triangle.

b) Write the general term describing the shaded area of the nth Sierpinski Triangle.

c)Suppose the diagram continued on. What total area would be shaded in the first ten Sierpinski Triangles? Round to the nearest whole number.

d) Suppose the fractal continued forever. Determine the total area shaded in all the triangles, if possible.

Patricia and Trent are 48 m apart. The angle of elevation from Patricia to the hot air balloon hovering in the sky between her and the Trent is 43 degrees, while the angle of elevation from Trent to the balloon is 31 degrees. 

a.) Draw a diagram of the situation

b.) Determine the distance between the ballon and the person farthest from the balloon. Round to th nearest tenth of a metre.

Patricia and Trent are 48 m apart. The angle of elevation from Patricia to the hot air balloon hovering in the sky between her and the Trent is 43 degrees, while the angle of elevation from Trent to the balloon is 31 degrees. 

a.) Draw a diagram of the situation

b.) Determine the distance between the ballon and the person farthest from the balloon. Round to th nearest tenth of a metre

In ABC, c= 10cm, b= 8cm, and angle B= 35

b)Solve the triangles

A rescue helicopter locates two people caught in an avalanche. The angle of elevation from the first perosn to the helicopter is 26.7 degrees, and the angle of the elevation from the second person to the helicopter is 48.9 degrees. IF the distance between the two people is 165m, determine how far both people are from the helicopter.