Answer:
14x + 7y = 21 is your answer.
Step-by-step explanation:
Standard form is Ax + By = C
Isolate the constant. Note the equal sign, what you do to one side, you do to the other. Add 7y to both sides.
14x = -7y + 21
14x (+7y) = -7y (+7y) + 21
14x + 7y = 21
14x + 7y = 21 is your answer.
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Assuming the - are bullet points and not negative signs:
sin = opposite/hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent.
Also remember the special properties of the 30 - 60 - 90 triangle.
This tells us that side AB = 9√3
Combining this info:
sin (C) = 9√3 ÷ 18 = √3 ÷ 2<span>
cos(B) = 9 </span>√3 ÷ 18 = √3 ÷ 2<span>
tan(C) = 9 </span>√3 ÷ 9 = √3<span>
sin(B) = 9 </span>÷ 18 = 1/2<span>
tan(B) = 9 </span>÷ 9√3 = 1 / √3 = √(3) ÷ 3
There are 20 questions on the quiz.
1. According to the plots, the curves intersect when
and
.
We can confirm this algebraically.





(where
is an integer)


We get the two solutions we found in the interval [0°, 360°] with
in the first case, and
in the second case.
2. We have
when
. For the given plot domain [0°, 360°], this happens when
.
3. The domain for both equations is all real numbers in general, but considering the given plot, you could argue the domains would be [0°, 360°].
is bounded between -1 and 1, so
is bounded between -1 + 2 = 1 and 1 + 2 = 3, and its range is [1, 3].
Likewise,
is bounded between -1 and 1, so that
is bounded between -1 + 3 = 2 and 1 + 3 = 4, so its range would be [2, 4].
Answer:
16 cups is 1 gallon
Step-by-step explanation:
because there are 16 cups in a gallon