y=--2x
And y = x + 3
Does the points intersect?

The lines intersect at the point

Explanation:

The given two equations are and

We need to determine the whether that they intersect.

To determine the point of intersection, let us solve the equation by substitution method.

Let us equate both the equations.

Thus, we have,

Subtracting both sides by x, we get,

Simplifying, we have,

Dividing both sides by -3, we get,

Substituting in the equation , we get,

Thus, the lines intersect at the points and

Hence, the lines intersect at the point

hello i am doing good for you that it's summer in your country or state ; )

btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )

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.