<h3>
Answer:</h3>
- A. (x, y) = (1, -1)
- B. (1, -1), (2, 0)
- C. (0, 3). This is where their graphs cross, meaning g(x) = f(x) at that point.
<h3>
Step-by-step explanation:</h3>
A solution to a pair of equations is the set of points where their graphs intersect. Points in that set will satisfy both equations, which is what "solution" means.
Here, the graphs of p(x) and f(x) each intersect the graph of g(x) in one place. Hence f(x) = g(x) has one solution, as does p(x) = g(x).
Finding the solution is a matter of reading the coordinates of the point of intersection from the graph.
A. The graphs interesect at x=1, y=-1.
B. Any point on the red line is a solution. We already know one of them from part A. Another is the x-intercept, where y=0. That point is (2, 0).
C. g(x) intersects f(x) at their mutual y-intercept: y = 3. x = 0 at that point.
A(-5,5)
B(4,5)
C(2,0)
D(-5,-2)
AB,BC,CD,DA
AB = [4-(-5)),5-5]=[9,0]
Lenght
BC = [2-4,0-5]=[-2,-5]
Lenght
CD = [-5-2,-2-0]=[-7,-2]
Lenght
DA =[-5-(-5),-2-5]=[0,-7]
Lenght
sorted from longest to shortest:
AB, CD,DA,BC
Answer:
y = 2/3
Step-by-step explanation:
first, you have to get y by itself. you do that by adding 2 to both sides, making the equation
3y = 2. next, you divide both sides by 3, to finish getting y by itself, making the equation y = 2/3
Answer:
C. HA (Hypotenuse angle congruence).
Step-by-step explanation:
We have been given a diagram of two right triangles. We are asked to choose the correct congruence theorem for our given triangles.
In our triangles ABC and DEF we have,
We can see that side length AB is hypotenuse of triangle ABC and side length DE is hypotenuse of triangle DEF.
Angle A and angle D are acute angles (less than 90 degrees) as we have one right angle in our both triangles and measure of other two angles will be 90 degrees in both triangles by angle sum property of triangles.
Hypotenuse angle theorem states that two right triangles are congruent, if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle.
Therefore, by HA congruence triangle ABC is congruent to triangle DEF and option C is the correct choice.