7 / 2 1/3 = 7/1 / 7/3 = 7/1 * 3/7 = 21/7 = 3 ( enough flour for 3 batches of muffins)
1 1/2 * 3 = 4 1/2 cups of brown sugar needed
Answer:
You know this because $110x20%=$22.
Answer:
90° clockwise rotation or 270° anticlockwise rotation
Step-by-step explanation:
(x,y)=(y,-x)
<em>E(-6,-4)=E'(-4,6)</em>
<em>F(-4,-4)=F'(-4,4)</em>
<em>G(-2,-6)=G'(-6,2)</em>
<em>H(-7,-7)=H'(-7,7)</em>
Therefore, E prime is (-4,6), F prime is (-4,4), G prime is (-6,2) and H prime is (-7,7).
Answer:
Scale factor = 7
Step-by-step explanation:
Dilation with scale factor to map HEFG to DABC will be,
Scale factor = 
= 
Length of CD = Distance between two points C(0, -7) and D(-7, 0)
= 
= 
= 
= 
Length of GH = Distance between G(0, -1) and H(-1, 0)
= 
= 
Scale factor = 
= 7
Step-by-step explanation:
Derivation using Product rule : -
To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,
f '(x) = uv' + vu'
= (2 sin x) (- sin x) + (cos x) (2 cos x)
= 2 (cos2x - sin2x)
= 2 cos 2x
This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.
Thus, derivation of sin 2x has been found by using the product rule.
