Step-by-step explanation:
g(x)=1/3(x-6)^2+1
The graph of this function is in the attachment
Answer:
5668.3
Step-by-step explanation:
The problem can be represented as a right angled triangle as shown below.
The angle of depression is equivalent to the angle inside the triangle (alternate angles) and it is 34°.
The altitude of the balloon is 2999 feet. (opposite)
Using trigonometric function, SOHCAHTOA, we can solve this:

The pilot is 5668.3 feet far away from the house.
Answer:
D = 31
Step-by-step explanation:
Consider the equation showing the distributive property.
84 +93 = 3 (28+ D)
The unknown value we are asked to find is D
Hence:
84 + 93 = 84 + 3D
Collect like terms
84 - 84 + 93 = 3D
93 = 3D
D = 93/3
D = 31
Therefore, the unknown value that would make the equation true is 31
Answer:
<h3><u>Part A.</u> 5n</h3>
<h3><u>Part B.</u> 5n (2n –3) ( n + 2x)</h3>
Step-by-step explanation:
<u>A. Ans ; </u>
10n³ – 15 n² + 20 xn² – 30 xn
Factors ; 10 —> 10 , 5 , 2 , 1
Factors ; 5 —> 5 , 1
Factors ; 20 —> 20 , 10 , 5 , 4 , 2 , 1
Factors ; 30 —> 30 , 15 , 10 , 6 , 5 , 3 , 2, 1
The greatest common factor of numbers is ; 5
n³—> n , n , n
n² —> n , n
xn² —> x , n , n
xn —> x , n
The greatest common factor of the variables is ; n
<h3>So ; Greatest common factor : 5n</h3>
<u>B . Ans ;</u>

I hope I helped you^_^
9514 1404 393
Answer:
Step-by-step explanation:
1. A right angle has a measure of 90°. The whole is the sum of the parts.
(2x +3)° +49° = 90°
2x +52 = 90 . . . . . . . . divide by °, collect terms
2x = 38 . . . . . . . . . . . . subtract 52
x = 19 . . . . . . . . divide by 2
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2. A linear pair measures 180°. The whole is the sum of the parts.
(x -5)° +151° = 180°
x +146 = 180 . . . . . . . divide by °, collect terms
x = 34 . . . . . . . . .subtract 146
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3. We presume this pair of angles is supposed to be supplementary. That is, their sum is 180°.
64° +(3x -1)° = 180°
3x +63 = 180 . . . . . . . divide by °, collect terms
3x = 117 . . . . . . . . subtract 63
x = 39 . . . . . divide by 3