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.
<span>
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.
</span>
9514 1404 393
Answer:
m∠2 = 16° or 25°
Step-by-step explanation:
The sum of angles 1 and 2 is congruent to angle CED.
20° +(x^2)° = (9x)°
x^2 -9x +20 = 0 . . . . . divide by °, put in standard form
(x -5)(x -4) = 0 . . . . . . . factor
x = 5 or 4
m∠2 = (x^2)° = (5^2)° or (4^2)°
m∠2 = 16° or 25°
aww this is soo sweet!!
and yes I wouldn't be able to do it without u all loll
Answer:
Step-by-step explanation:
To find the 5th term in the expansion, we first will need to apply the binomial theorem. I have attached an image of the binomial theorem formula due to not being able to type it.
After applying the binomial theorem and simplifying, you should get:
Our 5th term here is: 
which is equal to
~Hope this helps! Sorry if my answer is confusing at all, it's pretty difficult to explain.~
Answer:
13.9283882772
Step-by-step explanation:
Pythagorean Theroem, so 5^2+13^2=194
Under square root 194=13.9283882772
Hope I helped!
