A line segment on the coordinate plane has endpoints (2,4) and 4,y). The midpoint of the segment is point (3,7). What is the value of y?
11
0-2
5
10

10

Step-by-step explanation:

Given:

End points of a line segment are given as:

(2, 4) and (4, y)

Mid point of the line segment is: (3, 7).

To find:

Value of y = ?

Solution:

If end points of a line segment are and , then mid point of the line () is given by The Mid Point Formula:

Mid point formula:

Here,

Putting all the value to find :

So, the value of is 10.

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).