Answer:
This equation is in standard form: ax 1+bx+c=0. Substitute 9 for a, 16 for b, and −112 for c in the quadratic formula 2a−b±b2−4ac.x= 2×9−16± 16^2−4×9(−112)Square 16.x=2×9−16±256−4×9(−112) Multiply −4 times 9.x=2×9−16± 256−36(−112) Multiply −36 times −112.x=2×9−16±256+4032 Add 256 to 4032.x=2×9−16±4288 Take the square root of 4288.x=2×9−16±8+67 Multiply 2 times 9x=18−16±8=67
Step-by-step explanation:
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Answer:
Complement: 118°. Supplement: 28°
Step-by-step explanation:
To determine the supplement, subtract the given angle from 180.
180 - 62 = 118
To determine the complement, subtract the given angle from 90.
90 - 62 = 28
Answer:
The new volume is 1/343 of the old volume or the ratio of the new volume to the old volume is 1 to 343
Step-by-step explanation:
In this question, we are asked to state the effect of multiplying the radius of a sphere by 1/7 on the volume.
Mathematically, the volume of a sphere V can be calculated using the formula
V = 4/3 * π * r^3
Now multiplying the radius by 1/7, the new radius will be r/7
Thus the new volume here will be
V2 = 4/3 * π * (r/7)^3
V2 = 4/3 * π * (r^3)/343
Thus we can conclude that the value of the volume will be decreased by a factor of 343
Meaning the ratio of the old volume to the new volume will be 1 to 343
Answer:



Step-by-step explanation:
Given

Required
Determine f(-1); f(0) and f(2)
Solving f(-1)
In this case, we simply take x as;

Substitute -1 for x in 

Apply law of indices


Solving f(0)
In this case, we simply take x as;

Substitute 0 for x in 



Solving f(2)
In this case, we simply take x as;

Substitute 2 for x in 


