Answer:
y= x-3
Step-by-step explanation:
The points are ;(0, -3), (5,2), (7,4), (10,7).
Plot the coordinates on a graph tool to visualize the graph
Select two points to find the slope ; take point (5,2) and (10,7)
m=Δy/Δx
Δy = 7-2=5
Δx=10-5 = 5
m=5/5 =1
The equation of the graph will be;
m= Δy/Δx
1=y-4/x-7
x-7 = y-4
x-7+4=y
x-3=y
y= x-3
Answer: D.
Step-by-step explanation:
In the given figure, we have an obtuse triangle which has sides a, b, and c, and the angle opposite the side of length b is obtuse.
∵ In a triangle, the side opposite to the largest angle is largest.
Thus, the largest side in then given obtuse triangle= c
The Pythagorean inequalities theorem says that If a triangle is obtuse than the square of the largest side is greater than the sum of square of other two sides.
Therefore, we have
Answer:
Step-by-step explanation:
This is a third degree polynomial since we have 3 zeros. We find these zeros by factoring the given polynomial. The zeros of a polynomial are where the graph of the function goes through the x-axis (where y = 0). If x = -4, the factor that gives us this value is (x + 4) = 0 and solving that for x, we get x = -4. If x = -2, the factor that gives us that value is (x + 2) = 0 and solving that for x, we get x = -2. Same for the 5. The way we find the polynomial that gave us these zeros is to go backwards from the factors and FOIL them out. That means that we need to find the product of
(x + 4)(x + 2)(x - 5). Do the first 2 terms, then multiply in the third.
, which simplifies to
No we multiply in the final factor of (x - 5):
which simplifies to
If you are aware of the method for factoring higher degree polymomials, which is to use the Rational Root Theorem and synthetic division, you will see that this factors to x = -4, -2, 5. If you know how to use your calculator, you will find the same zeros in your solving polynomials function in your apps.