Freyja solved the equation +
2
x x 6
The steps she took to solve are shown below.
X
2
Step 1
X3
X2
2
+
(
x2)(
x3)
5
(33)
X
2
Step 2
x? 3x2
(
x2)(x 3)
5x 10
(x 2)(x 3)
Step 3 x + 3x + 2 = 5x + 10
Step 4 x? - 2x - 80
Step 5
(x + 2)(x - 1) = 0
Step 6
x=-- 2.x = 1
In which step, if any, did Freyja introduce the possibility of an extraneous solution? Explain your answer.
Respond in the space provided

Acamper leaves camp on a kayak and travels 50 miles east on a river, then he ties his kayak to the bank and travels 20 miles north on a bicycle. this trip can be plotted on the coordinate plane, where the camp is the point (0, 0). the distant of the camper to the camp can be found using the distance formula. which other formula can he use? a) 502 - 202 b) 502 + 202 c) 502 - 202 d) 502 + 202

Find the solution of each of the following.

(i really need ) read the story problem, and then answer the questions that follow. gordon works for a graphic design firm and is creating a label for a food truck vendor. the vendor specializes in finger food and wants to sell food in right conical containers so that they are easy for people to hold. to complete his label, gordon needs to collect several different measurements to ensure that the label he designs will fit the surface of the container. gordon has been told that the containers have a diameter of 4 inches and a height of 6 inches. part a: find the slant height of the cone. the slant height is the distance from the apex, or tip, to the base along the cone’s lateral surface. show your work. part b: find the measure of the angle formed between the base of the cone and a line segment that represents the slant height. part c: imagine two line segments where each represents a slant height of the cone. the segments are on opposite sides of the cone and meet at the apex. find the measurement of the angle formed between the line segments.