Answer:
i) 25
ii) 30:70; 30 out of 70 pencils will be blue.
Step-by-step explanation:
i) 70 - (15+30)= 25 other colors in the bag.
ii) 30:70
we are given

For finding asymptote , we can find limit


now, we can solve it


so, horizontal asymptote is
.............Answer
B.) Hibiscus Street
The key thing to remember is the slope of the lines. The equation for a line in slope intercept form is
y = ax + b
where
a = slope
b = y intercept
So the equation for Oak Street is y = 2/3x - 7. So it's slope is 2/3. And any street that has the same slope will be given a tree name. And any street that's perpendicular will be given a flower name. You can determine is a line is perpendicular if it has a slope that's the negative reciprocal. So a street that's perpendicular to Oak street will have a slope of -3/2.
Now you've just been given the equation to a new street that's y = -3/2x - 2. Since the slope is -3/2 and Oak street has a slope of 2/3, the new street is perpendicular to Oak street. And given the naming scheme, that means that the new street will have the name of a flower. So let's look at the available street names and pick a flower.
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A.) Weeping Willow Street
* Nope a Weeping Willow is a tree. So this name won't work.
B.) Hibiscus Street
* Yes. A Hibiscus is a flower, so this name is suitable.
C.) Oak Street
* Nope. Not only is this a tree instead of a flower, but there's already an Oak street. So bad choice.
D.) Panther Street
* Nope, this is an animal, not a flower. Bad choice.
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A because we all know the intersection of sin is always in (0,0) but in this case it is different
Answer:
x = 1
Step-by-step explanation:
In order to solve the given problem, we should have the knowledge of the following property.
- Measure of the tangents drawn from external points to a circle are equal.
46x - 1 = 45x
46 x - 45x = 1
x = 1