1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sophie [7]
2 years ago
5

Choose the point on the terminal side of -45°. (-3, -3) (4, -4) (5, 5) (-2, 2)

Mathematics
2 answers:
harina [27]2 years ago
8 0
The angle of -45 its terminal side lies in the fourth quadrant, i.e. the x-coordinates is *positive* and y-coordinates is *negative*

The point (4,-4) is the only one that satisfies that condition


hope that helps
Sladkaya [172]2 years ago
4 0
(4, -4) is the answer

-45<span>° is in quadrant IV and the point (4, -4) is the only point out of the points given that is also in quadrant IV</span>
You might be interested in
Solve using Fourier series.
Olin [163]
With 2L=\pi, the Fourier series expansion of f(x) is

\displaystyle f(x)\sim\frac{a_0}2+\sum_{n\ge1}a_n\cos\dfrac{n\pi x}L+\sum_{n\ge1}b_n\sin\dfrac{n\pi x}L
\displaystyle f(x)\sim\frac{a_0}2+\sum_{n\ge1}a_n\cos2nx+\sum_{n\ge1}b_n\sin2nx

where the coefficients are obtained by computing

\displaystyle a_0=\frac1L\int_0^{2L}f(x)\,\mathrm dx
\displaystyle a_0=\frac2\pi\int_0^\pi f(x)\,\mathrm dx

\displaystyle a_n=\frac1L\int_0^{2L}f(x)\cos\dfrac{n\pi x}L\,\mathrm dx
\displaystyle a_n=\frac2\pi\int_0^\pi f(x)\cos2nx\,\mathrm dx

\displaystyle b_n=\frac1L\int_0^{2L}f(x)\sin\dfrac{n\pi x}L\,\mathrm dx
\displaystyle b_n=\frac2\pi\int_0^\pi f(x)\sin2nx\,\mathrm dx

You should end up with

a_0=0
a_n=0
(both due to the fact that f(x) is odd)
b_n=\dfrac1{3n}\left(2-\cos\dfrac{2n\pi}3-\cos\dfrac{4n\pi}3\right)

Now the problem is that this expansion does not match the given one. As a matter of fact, since f(x) is odd, there is no cosine series. So I'm starting to think this question is missing some initial details.

One possibility is that you're actually supposed to use the even extension of f(x), which is to say we're actually considering the function

\varphi(x)=\begin{cases}\frac\pi3&\text{for }|x|\le\frac\pi3\\0&\text{for }\frac\pi3

and enforcing a period of 2L=2\pi. Now, you should find that

\varphi(x)\sim\dfrac2{\sqrt3}\left(\cos x-\dfrac{\cos5x}5+\dfrac{\cos7x}7-\dfrac{\cos11x}{11}+\cdots\right)

The value of the sum can then be verified by choosing x=0, which gives

\varphi(0)=\dfrac\pi3=\dfrac2{\sqrt3}\left(1-\dfrac15+\dfrac17-\dfrac1{11}+\cdots\right)
\implies\dfrac\pi{2\sqrt3}=1-\dfrac15+\dfrac17-\dfrac1{11}+\cdots

as required.
5 0
2 years ago
In the diagram, the length of segment QV is 15 units.
Andrews [41]

Answer:

The answer is 15 units.

Step-by-step explanation:

The reason it is 15 units is because  We know that QV = 15 and TQ = TS, QV = SV;4 x - 1 = 154 x = 15 + 14 x = 16x = 16 : 4 = 4 henceforth the answer being 15 units

6 0
3 years ago
Read 2 more answers
Art and his friends spent $62 at the movies. Admission tickets cost $12 apiece, and a bucket of popcorn costs $7. Which equation
Darya [45]

Answer: 12t+7p=62

Step-by-step explanation:

8 0
2 years ago
Ryan has nine 14 ounce of popcorn to repackage and sell at the school fair. A small bag holds 3 ounces. How many small bags can
ira [324]
Ryan can make 42 small bags of popcorn
5 0
2 years ago
What is (x2 + 7x + 6) divided by (x + 1)? A) x - 6 B) x - 7 C) x + 6 D) x + 7
Nana76 [90]

<em>So</em><em> </em><em>the</em><em> </em><em>ans</em><em> </em><em>is</em><em> </em><em>C</em><em>.</em><em> </em>

<em>hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em>

7 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for y in the equation 4y+15=-5y+9<br> a)-6<br> b) -2/3<br> c)2/3<br> d)6
    14·2 answers
  • 1/8 to the power of 5 as a fraction
    9·1 answer
  • ??????? Help please
    13·2 answers
  • There are 20 light bulbs in 5 packages.Complete the table to find the rate that gives you the number of light bulbs in 3 package
    11·1 answer
  • I am confused about the order to go about doing this problem because I tried multiplying first and then dividing but my answer w
    6·2 answers
  • A company's board of directors wants to form a committee of 2 of its members. There are 5 members to choose from. How many diffe
    8·1 answer
  • Can u guys help me with this problem?
    8·1 answer
  • 1)
    11·1 answer
  • Match the polynomial on the left with the appropriately factored expression on the right.
    13·1 answer
  • Calculator shortcut for 16613 eight
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!