Kali has a 6 meter ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 2
meters away from the base of the tree. How high into the tree will the ladder reach? Round your answer to the nearest tenth of a meter.

5.7m

Step-by-step explanation:

the easiest way to solve for a side is to draw the question in a diagram (i have done this below). As it is a right-angled triangle and we know 2 of the side, we can use the Pythagoras theorem:

sides a and b are the two shorter sides.

side c is the hypotenuse (longest side)

as shown in the picture below, because we know both sides c and b, we need to change the equation around:

replace these sides with their numbers:

(remember that 32 equals side a squared therefore we need to square root 32 to find the length of side a:

the question says to round to the nearest tenth meter:

Missing side = 5.7m

I hope this was helpful :-)

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)