A(b-c)
First substitute values
-8(12+4)=
Next, solve using ordering of PEMDAS
-8 (12+4)=
-8 (16)=12
Answer:
x<±1 and x< -3
Step-by-step explanation:
Given the inequality x^2-1/3x+9<0, we are to find the values of x that satisfies the inequality
x^2-1/3x+9<0
x^2-1/3x+9 (3x+9)²<0* (3x+9)²
(x^2-1)(3x+9) < 0
x²-1 < 0 and 3x + 9 <0
x²-1 < 0
x²<1
x<±√1
x<±1
Also 3x + 9 <0
3x < -9
x < -9/3
x < -3
Hence the required values of x are x<±1 and x< -3
Answer:
19
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is
difference of 2 sides < x < sum of 2 sides , that is
18 - 2 < x < 18 + 2
16 < x < 20
Then the largest possible length of the third side is 19
Answer:
1. Reflection across the x-axis
2. Translation 6 units to the left and 1 unit up
Step-by-step explanation:
The quadrilateral ABCD has its vertices at points A(3,5), B(6,5), C(4,1) and D(1,1).
1. Reflect quadrilateral ABCD across the x-axis. This reflection has the rule:
then
2. Translate quadrilateral ABCD 6 units to the left and 1 unit up. This translation has the rule:
then
Notice those two points on the "linear graph", the first point is at (1965 , 140) and the second point is at (1990 , 100).
the rate or average rate of change, namely the slope will then be