Answer:
<em>( 4, 11 ) , ( - 4, 27 ) </em>
Step-by-step explanation:
f(x) = x² - 2x + 3
f(x) = - 2x + 19
x² - 2x + 3 = - 2x + 19
x² - 16 = 0
( x + 4 )( x - 4 ) = 0
= - 4
= 4
f(x) = 
= - 2( - 4 ) + 19 = 27
= 27
f(x) = 
= - 2( 4 ) + 19 = 11
= 11
<em>( 4, 11 ) , ( - 4, 27 )</em>
Answer:
1 and 1/4 cups of sugar for 5 batches
Step-by-step explanation:
3/4 cups for 3 batches
1/4 cup for 1 batch
multiply by five
5/4 or 1 and 1/4 cups for 5 batches
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πr^2 = area
Half the diameter to get the radius
Substitute the values in:
area = 3.142 x (7)^2
area = 153.958 cm^2
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Answer:
8 units
Step-by-step explanation:
because they have the same y axis all we need to do is subtract the distance between the x axis to get the distance between the points
First, tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>), so if cos(<em>θ</em>) = 3/5 > 0 and tan(<em>θ</em>) < 0, then it follows that sin(<em>θ</em>) < 0.
Recall the Pythagorean identity:
sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1
Then
sin(<em>θ</em>) = -√(1 - cos²(<em>θ</em>)) = -4/5
and so
tan(<em>θ</em>) = (-4/5) / (3/5) = -4/3
The remaining trig ratios are just reciprocals of the ones found already:
sec(<em>θ</em>) = 1/cos(<em>θ</em>) = 5/3
csc(<em>θ</em>) = 1/sin(<em>θ</em>) = -5/4
cot(<em>θ</em>) = 1/tan(<em>θ</em>) = -3/4
