Answer:
Graph of solutions of:
y = x^2 -4 (red)
x + y + 2 = 0 (purple)
Step-by-step explanation:
Answer:
Option : The product of the roots is - 4
Step-by-step explanation:
Therefore the roots are -4 and 1
The product of the roots are -4 x 1 = -4
Answer:
The ratio of circumference to diameter is a constant
Step-by-step explanation:
The first line on the page tells you the relation: the ratio of the circumference to the diameter is about 3.14.
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Another way to say this is that the circumference is about 3.14 times the diameter.
Answer:
see explanation
Step-by-step explanation:
Using the sum/ difference → product formula
cos x - cos y = - 2sin( 
)sin (
)
sin x - sin y = 2cos ( )sin ( )
Given
(cosA - cosB)² + (sinA - sinB )²
= [ - 2sin(
)sin(
) ]² + [ 2cos( )sin( ) ]²
= 4sin² ( )sin² ( ) + 4cos² ( )sin² ( )
= 4sin² ( )[ sin² ( ) + cos² ( ) ← sin²x + cos²x = 1
= 4sin² ( ) × 1
= 4sin² ( ) = right side ⇒ proven
Answer: The mode is: 3 . The range is: 6 .
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Explanation:
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It would be best to list this values in the data set given, from least to greatest:
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{ 3, 3, 3, 3, 4, 5, 5, 6, 9 } .
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The mode is the number that occurs most frequently in the data set, which is: "3".
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{The number, "3", occurs FOUR (4) times. The number, "4", occurs ONE (1) time. The number, "5", occurs TWO (2) times. The number, "6", occurs ONE (1) time. The number, "9", occurs ONE (1) time.}.
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The range is calculated from subtracting the LOWEST value in the data set FROM the HIGHEST value in the data set.
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The lowest values in the data set is: "3" .
The highest value in the data set is: "9" .
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To calculate the range: 9 <span>− 3 = 6 . The range is: "6".
</span>________________________________________________
Answer: The mode is: 3 . The range is: 6 .
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