Find the possible value of "a" using the distance formula.
(4,-1) and (a,5) with d = 10

Step-by-step explanation:

The distance formula is given by:

We are given the two points (4, -1) and (a, 5). The distance between them is 10.

Let (4, -1) be (x₁, y₁) and let (a, 5) be (x₂, y₂). Substitute:

Solve for a. Square both sides and simplify:

Simplify:

Take the square root of both sides. Since we are taking an even root, we will need plus/minus. Hence:

Solve for a:

So, our two possible points are (12, 5) or (-4, 5).

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

your answer is -9

step-by-step explanation: