G(x) = h(x) +3 . . . . . h translated upward by 3 units
g(x) = (-3x² +3) +3
g(x) = -3x² +6 . . . . . . . . . the desired expression for g(x)
Yes, they are.
If the triangles have three corresponding angles equal means that they are either similar or congruent.
The definition of congruent means that the sides have the same length. That is precisely what the statement says.
So, being the lengths of the corresponding angles the same the two triangles are identical, this is they are congruent.
Answer:5a-30=45
Step-by-step explanation:
So something times 5 minus 30 will give you 45
1) pythagorean theorem = a2 + b2 = c2
SO:
10^2 + 6^2 = c2
100 + 36 = c2
136 = c2
Diagonal should equal about 11.66 meters
2) pythagorean theorem = a2 + b2 = c2
SO:12.7^2 + 8.9^2 = c2
161.29 + 79.21 = c2
240.5 = c2
Elevation should equal about 15.1 degrees
Answer:
H0 : μYellow = μGreen
H1 : μYellow < μGreen
Step-by-step explanation:
Let :
Yellow paper = μYellow
Green paper = μGreen
To test the hypothesis :
The null hypothesis is will state that there is no difference in mean of anxiety scores obtained for test taken of yellow and green papers
H0 : μYellow = μGreen.
The alternative hypothesis is the opposite of the null and it is to the left, where we want to test if the anxiety score is lower when take on a yellow paper
H1 : μYellow < μGreen