Answer:
Question 10:
Answer: b.
![{ \tt{f(x) = 5 {x}^{2} + 9x - 4}} \\ { \tt{g(x) = - {8x}^{2} - 3x - 4 }}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bf%28x%29%20%3D%205%20%7Bx%7D%5E%7B2%7D%20%20%2B%209x%20-%204%7D%7D%20%5C%5C%20%7B%20%5Ctt%7Bg%28x%29%20%3D%20%20-%20%20%7B8x%7D%5E%7B2%7D%20-%203x%20-%204%20%7D%7D)
(f + g)x, add f(x) and g(x):
![{ \tt{(f + g)x = (5 - 8) {x}^{2} + (9 - 3)x - 4 - 4}} \\ { \tt{(f + g)x = - 3 {x}^{2} + 6x - 8}}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7B%28f%20%2B%20g%29x%20%3D%20%285%20-%208%29%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%289%20-%203%29x%20-%204%20-%204%7D%7D%20%5C%5C%20%7B%20%5Ctt%7B%28f%20%2B%20g%29x%20%3D%20%20-%203%20%7Bx%7D%5E%7B2%7D%20%20%2B%206x%20-%208%7D%7D)
Question 11:
Answer: a.
In relation with solution of question 10, same procedure:
![{ \tt{(f - g)x = - 3 {x}^{3} + (1 - 2) {x}^{2} + ( - 3 - 4)x + 9 - ( - 9)}} \\ { \tt{(f - g)x = - 3 {x}^{3} - {x}^{2} - 7x + 18 }}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7B%28f%20-%20g%29x%20%3D%20%20-%203%20%7Bx%7D%5E%7B3%7D%20%2B%20%20%281%20-%202%29%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%28%20-%203%20-%204%29x%20%2B%209%20-%20%28%20-%209%29%7D%7D%20%5C%5C%20%7B%20%5Ctt%7B%28f%20-%20g%29x%20%3D%20%20-%203%20%7Bx%7D%5E%7B3%7D%20-%20%20%7Bx%7D%5E%7B2%7D%20%20-%207x%20%2B%2018%20%7D%7D)
Explanation:
The given congruences are corresponding sides and angles of ΔWZX and ΔYZX. Segment ZX is congruent to itself, so ΔWZX ≅ ΔYZX by SAS.
Then ∠WXZ ≅ ∠YXZ and WX ≅ YX by CPCTC. The latter means X is a midpoint and that ZX is a bisector of WY. The former means the angles of the linear pair ∠WXZ and ∠YXZ must both be 90°, as they are both congruent and supplementary.
Therefore, ZX is perpendicular to WY and also its bisector.
The perimeter of a rectangle = 2(L+B)
therefore, 40 = 2(L+B)
40/2 = L+B
20 = L+B
3L+B = 20
B= 20/4
= 5
L= 5*3
= 15
i hope this helps
No. 6+4=10. Michael Jordan's head reaches 10'6" above the ground. A meter is slightly more than 3 feet, so 3.9 meters is more than 11'8".
MJ's head would not reach the rim by more than a foot.
Answer:
8/9
Step-by-step explanation:
add two fractions, such as 2/9 + 2/3, make sure that the two denominators are the same and then we simply add the numerators.In cases where the denominators are not the same, you would find the lowest common denominator and adjust the fractions to keep them intact.