Answer:
- C) (x − 3)2 = 25
- C) Factor out 4 from 4x2 + 40x.
Step-by-step explanation:
1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.
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2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.
Here, that looks like ...
4(x² +10x) = 80 . . . . . . . . . . step 1: factor out 4
4(x² +10x +25) = 180 . . . . . add 25 inside parentheses and the same number (4·25) on the right side of the equation
4(x +5)² = 180 . . . . . . . . . . . written as a square
Answer:
D
Step-by-step explanation:
f(x) = -3x^3 + x^2 – 3 f(2) means that wherever you see a x, put in a 2.
f(2)= -3(2)^3 + (2)^2 - 3
f(2) = -3*8 + 4 - 3
f(2) = - 24 + 1
f(2) = - 23
cos A is 0.8511 and tan B is 1.6
Step-by-step explanation:
Find the 3rd length or the hypotenuse.
<u>Pythagoras theorem</u>
= 
+ 
= 
+ 
= 64 + 25
hypotenuse = 
hypotenuse = 9.4
a) Cos A
<u>Data:</u>
Adjacent = 8
Hypotenuse = 9.4
<u>Formula:</u>
Cos (Angle) = 
Cos A = 
Cos A = 0.8511
A = 
(0.8511)
A = 31.7°
b) Tan B
<u>Data: </u>
Opposite = 8
Adjacent = 5
<u>Formula:</u>
Tan (Angle) = 
Tan B = 
Tan B = 1.6
B = (1.6)
B = 58°
Therefore, cos A is 0.8511 and tan B is 1.6.
Keyword: cos, tan
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