Answer:
B. 2x + y = pi + 1.
Step-by-step explanation:
y = sin x + 2 cos x
The slope of a line tangent is the derivative, so:
y' = cos x - 2 sin x
At (pi/2, 1) , substituting for x:-
cos pi/2 - 2 sin pi/2
= 0 - 2 * 1 = -2.
So the slope is - 2 and an equation can be found by using the point-slope formula:
y - y1 = m(x - x1) so:
y - 1 = -2(x - pi/2)
y = -2x + pi + 1
2x + y = pi + 1.
Answer:
3/16
Step-by-step explanation:
By drinking 3/8 liters of 1/2 liter juice it means the question tests the ability to multiply fractions. Since she drank 3/8*1/2=3/16
We multiply the numerators and denominators separately ie 3*1/(8*2)=3/16
Therefore, Alisa consumed 3/16 or 0.1875 or 18.75% of the juice.
Since the question was in fractional form, it is prudent to also express answer in fractions hence the right answer is 3/16
Answer:
option B is the answer . thank me later , you guys are lame
The perimeter of the figure to the nearest hundredth is 50.26 cm.
<h3>Perimeter of a figure.</h3>
The perimeter of a figure is the sum of the whole sides of the figure.
The perimeter of the figure can be found as follows:
perimeter of the figure = 12 + 5 + 5 + circumference of the semi circle
circumference of the semi circle = πr
where
perimeter of the figure = 22 + πr
perimeter of the figure = 22 + 3.14(9)
perimeter of the figure = 22 + 28.26
perimeter of the figure = 50.26 cm
learn more on perimeter here: brainly.com/question/11419989
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Answer:
Option A.
Step-by-step explanation:
step 1
we know that
The equation of the solid line is
The solution is the shaded area above the solid line
so
The equation of the first inequality is
step 2
The equation of the dashed line is
The solution is the shaded area above the dashed line
so
The equation of the second inequality is
therefore
The system of inequalities could be