Which is true about the solution to the system of inequalities shown? y < x – 1 y < x – 3 All values that satisfy y < x
– 1 are solutions. All values that satisfy y < x – 3 are solutions. All values that satisfy either y < x – 1 or y < x – 3 are solutions. There are no solutions.
2 answers:
Answer:
Option (2) is correct.
All values that satisfy y < x – 3 are solutions.
Step-by-step explanation:
Given two inequality y < x – 1 and y < x – 3
We have to choose out of given options that is true about the solution to the system of inequalities given.
Step 1: We first plot both the inequality in the graph.(as shown below)
Step 2: Choose a test point to determine which side of the line needs to be shaded.
Step 3: the solution to the system will be the area where the shadings from both the inequality overlap one another.
Thus, All values that satisfy y < x – 3 are solutions.
Thus, Option (2) is correct.
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Answer:
the largest angle of the field is 149⁰
Step-by-step explanation:
Given;
perimeter of the triangular filed, P = 120 m
length of two known sides, a and b = 21 m and 40 m respectively
The length of the third side is calculated as follows;
a + b + c = P
21 m + 40 m + c = 120 m
61 m + c = 120 m
c = 120 m - 61 m
c = 59 m
B
↓ ↓
↓ ↓
↓ ↓
A → → → → → → → → → → → C
Consider ABC as the triangular field;
Angle A is calculated by applying cosine rule;
Angle B is calculated as follows;
Angle C is calculated as follows;
Therefore, the largest angle of the field is 149⁰.