Answer:
5 ; 12 ; 13
Step-by-step explanation:
Let :
Shorter leg = x
Other leg = x + 7
Hypotenus = x + 8
Recall:
Hypotenus² = opposite² + adjacent²
(x+8)² = x² + (x+7)²
x² + 16x + 64 = x² + x² + 14x + 49
x² - 2x - 15 = 0
x² - 5x + 3x - 15 = 0
x(x - 5) +3(x - 5) = 0
(x + 3) = 0 ; x = - 3
(x - 5) = 0 ; x = 5
Side can't be negative ;
Hence,
x = shorter side = 5
Other side = x + 7 = 5 + 7 = 12
Hypotenus = x + 8 = 5 + 8 = 13
Answer:
First, you add 30 and 20, and you get 50. Then, since 30 is your highest priced item, you find 0.30 of 30, which is 9. After that you would subtract 9 from 30, which gives you 21. Therefore, we know the price is 41
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
since the linear function intersects the x-axis at -1, the coordinate for the x-intercept is (-1,0). Since the line also intersects the y-axis at 3, the pint of intersection is (0,3)
Hope I helped UwU
Answer:
a. correlation
b. inverse linear correlation exists If the higher the population of students lead to a decrease in test score,
c. yes
Step-by-step explanation:
a. Correlation is a measure of the amount of association existing between two variables.
b. For linear correlation, if points are plotted on a graph and all the points lie on a straight line, then perfect linear correlation is said to exist. When a straight line having a positive gradient can reasonably be drawn through points on a graph positive or direct linear correlation exists,
Similarly,when a straight line having a negative gradient can reasonably be drawn through points on a graph, negative or inverse linear correlation exists,
The results of this determination give values of r lying between +1 and −1, where +1 indicates perfect direct Positive linear correlation and −1 indicates perfect inverse correlation or Negative linear correlation and 0 indicates that no correlation exists.
If the higher the population of students lead to a decrease in test score, there will definitely be a negative correlation between class size and test score. i.e low class size result in high test score which consequently lead to high performance.
c. YES
A negative correlation means low class size result in high test score which consequently lead to better performance.
Answer:
8
Step-by-step explanation:
5(3-1)-2
5(2)-2
10-2
8
