1 17
3
7
8
9
2
9
10
11
12
City Y is 10 miles north of city X.
City Z is 24 miles east of city X
How long is the straight rode
connecting cities Y and Z?
3
73
14
15
4
16
18
AN
5
19
21
6
23

Distance between cities Y and Z = 26 miles

Step-by-step explanation:

From the picture attached,

Length of XY = 10 mi

Length of XZ = 24 mi

By applying Pythagoras theorem in the given right triangle XYZ,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

YZ² = XY² + XZ²

      = 10² + 24²

      = 100 + 576

      = 676

YZ = √676

     = 26 mi

Therefore, distance between cities Y and Z is 26 mi.

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)