Answer:
(0,-2) = No
(-5,0) = Yes
(8,0) = Yes
(-9,-6) = No
Step-by-step explanation:
It says "solution to y = 0" so then look at the y-axis which is the second number in parenthesis.
Ex: (0, -2), y is -2 and x is 0.
Just make sure the second number is equal to 0, if not, then that is not the solution.
The equations to calculate the legs are 0.5(x)(x + 2) = 24, x^2 + 2x - 48 = 0 and x^2 + (x + 2)^2 = 100
<h3>How to determine the legs of the triangle?</h3>
The complete question is in the attached image
The given parameters are:
Area = 24
Legs = x and x + 2
The area of the triangle is calculated as:
Area = 0.5 * Base * Height
This gives
0.5 * x * (x + 2) = 24
So, we have:
0.5(x)(x + 2) = 24
Divide through by 0.5
(x)(x + 2) = 48
Expand
x^2 + 2x = 48
Subtract 48 from both side
x^2 + 2x - 48 = 0
Hence, the equations to calculate the legs are 0.5(x)(x + 2) = 24, x^2 + 2x - 48 = 0 and x^2 + (x + 2)^2 = 100
Read more about area at:
brainly.com/question/24487155
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Answer:
Step-by-step explanation:
According to the empirical rule, the 95% confidence interval for the true population proportion is given by :-
Given : . The survey resulted in a sample proportion of p′=0.14, with a sampling standard deviation of σp′=0.02, who preferred reading an e-book.
Then, the 95% confidence interval for the true proportion of adults who prefer e-books will be :-
Hence, the 95% confidence interval for the true proportion of adults who prefer e-books=
92 degrees
Triangle= 180 degrees
180-60-28= 92
:)