Which net represents the figure?
1 answer:
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a + b ≥ 30, b ≥ a + 10, the system of inequalities could represent the values of a and b
option A
<u>Step-by-step explanation:</u>
Here we have , The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater integer, We need to find which system of inequalities could represent the values of a and b . Let's find out:
Let two numbers be a and b where b>a . Now ,
- The sum of two positive integers, a and b, is at least 30
According to the given statement we have following inequality :
⇒
- The difference of the two integers is at least 10
According to the given statement we have following inequality :
⇒
⇒
⇒
Therefore , Correct option is A) a + b ≥ 30, b ≥ a + 10
v(x) has the largest value when x=4.
Answer:
No solution.
Step-by-step explanation:
Given
Required
Find all possible solutions
If , then the triangle is right-angled and the hypotenuse is at b
Given that
This implies that a > b
In a right-angled triangle, the hypotenuse (side b) is the longest.
Since this is not true for the given sides, then the triangle has no solution.
Answer: The required value of y is 19.
Step-by-step explanation: We are given to find the value of y in the solution to the following system of equations :
Comparing equations (i) and (ii), we get
From equation (i), we get
Thus, the required value of y is 19.