To find the common denominator first find a number that goes into all the denominators;
the LCM of 5, 3, 8 = 120
so your new fractions with the same denominator are;
24/120, 80/120, 75/120
Answer:
(a) {-3, 2}
(b) {3, 4}
Step-by-step explanation:
The high points are (-3, 3) and (2, 4).
The x-values at which the function has a local maximum are {-3, 2}.
The local maximum values are {3, 4}.
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Your answer box probably doesn't want the curly brackets and maybe not the spaces, either. Those brackets are used to identify a <em>set</em> of values.
Answer:
16 squares
Step-by-step explanation:
The area of an isosceles is 
Hope this helped!
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
What you do here is subtract g from f: x^2 - 5x + 8 - (x^2 -4); x^2 - 5x + 8 - x^2 + 4; Rearranging gives you x^2 - x^2 - 5x + 8 + 4 which is, simplified, -5x + 12
