Answer:
the slope is -3/2
Step-by-step explanation:
Basically just subtract the 3x from both sides and then divide the entrie equation by 2 to get the y by itself. and then the equation should be y=-3/2x-4 where -3/2 is the slope
Answer:
C
Step-by-step explanation:
Perimeter of a triangle is the sum of all the sides.
A triangle has 3 sides, so if we add up all the 3 sides lengths <em>(given as expressions here)</em> of the triangle, we will have the perimeter.
Perimeter =
<em>Now combining like terms we have:</em>
<em></em>
Answer choice C is the correct one.
For problem #4 the answer is 100°. The triangle are congruent meaning the angles that are given both of the triangle have to have the same angles.
The triangle sum theorem is all triangles have a 180° . All the 3 angles = 180.
They gave you two angles of the triangle. So add the two angles and find the difference of 180.
50+30=80
180-80=100°
#5 set those 2 angles equal. Because the A corresponds to Q. Solve for X and plug in your x value
Answer:
Step-by-step explanation:
Answer:
The equation for circle of radius centered at the point is:
Step-by-step explanation:
To derive this equation, we need the formula for the distance between two points in the plane. If the point is given by its cartesian coordinates, we can use the Pythagorean theorem to find what the distance between the points is.
Lets say we have two points, one given by cartesian coordinates P:(x,y) and the other given by cartesian coordiantes C:(h,k)
(see diagram)
We can see that
and by the pythagorean theorem we have:
Where is the distance between the points
Now, combining the last three equations we find:
We know that the definition of a circle is the locus of points that are at a distance r from a point called the center of the circle. if we take C:(h,k) as the center of the circle, and , the last equation becomes:
And that is the result we wanted.