Answer:
Step-by-step explanation:
Let
x ----> the length for the third side
we know that
The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
Applying the triangle inequality theorem
1)
solve for x
Rewrite
2)
solve for x
subtract 26 both sides
therefore
The range of possible lengths, in meters, for the third side is equal to
Given:
To find:
The value of x.
Solution:
We have,
To find the value of x, we need to isolate x on one side.
Subtract 2b from both sides.
Divide both sides by -3. On multiplying or dividing an inequality by a negative number, we need to change the sign of inequality.
The required inequality for x is .
Therefore, the correct option is A.
Answer: We do not reject the null hypothesis.
Step-by-step explanation:
Given : Test statistic :
Significance level :
By using the standard normal distribution table ,
The p-value corresponds to the given test statistic ( two tailed ):-
Since the p-value is greater than the significance level of 0.02.
Then , we do not reject the null hypothesis.
Answer:
The answer to your question is (-1, -1)
Step-by-step explanation:
Data
A (1, -6)
B (-3, 4)
Formula
Xm =
Ym =
Process
1.- Substitute the values in the formula
x1 = 1 x2 = -3
Xm =
y1 = -6 y2 = 4
Ym =
2.- The midpoint is (-1, -1)