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
serg [7]
3 years ago
14

Can someone help me with this question please?

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
6 0

Answer:

a.) (0,4) b.) (-4,0)

Step-by-step explanation:

a.) Let x=0 and solve for y: y=0+4=4. Since we let x=0 the first number will be 0 and we found y to be 4, so our coordinates are (0,4)

b.) Let y=0 and solve for x: 0=x+4, x=-4. Since x=-4 our first number is -4, since y is 0 our second number is 0, so our coordinates are (-4,0)

Hope this helps!

You might be interested in
The cost of a computer is $849. The store is offering a 20% discount and a sales tax of 6% is added after the discount. What is
givi [52]
$849-20%=$679
$679+6%(sales tax)=$719
$719 is the total cost of the tv
3 0
3 years ago
Read 2 more answers
In 2014, there were 16,400 students at College A, with a projected enrollment increase of 640 students per year. In the same yea
zhenek [66]

Answer:

4 Years

Step-by-step explanation:

I just continually added the numbers til' I got 18,960 on Both Colleges.

8 0
2 years ago
Maddie and Leah both play offense for their school's soccer team. This year, they decided to keep track of their goals and assis
n200080 [17]

Answer:

no they don't

Step-by-step explanation:

leah has a higher goal-assist ratio with 1 more assist than maddie

6 0
3 years ago
Please whats-2 5/ 11 - 7 1/11
Nana76 [90]

Answer:

=-2(5/11)-7(1/11)

=-10/11-7/11

=(-10-7)/11

=-3/11

5 0
2 years ago
The graphs of the polar curves r = 4 and r = 3 + 2cosθ are shown in the figure above. The curves intersect at θ = π/3 and θ = 5π
Gennadij [26K]
(a)

\displaystyle \frac{1}{2} \cdot \int_{\frac{\pi}{3}}^{\frac{5\pi}{3}} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta

or, via symmetry

\displaystyle\frac{1}{2} \cdot 2 \int_{\frac{\pi}{3}}^{\pi} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta

____________

(b)

By the chain rule:

\displaystyle \frac{dy}{dx} = \frac{ dy/ d\theta}{ dx/ d\theta}

For polar coordinates, x = rcosθ and y = rsinθ. Since
<span>r = 3 + 2cosθ, it follows that

x = (3 + 2\cos\theta) \cos \theta \\ &#10;y = (3 + 2\cos\theta) \sin \theta

Differentiating with respect to theta

\begin{aligned}&#10;\displaystyle \frac{dy}{dx} &= \frac{ dy/ d\theta}{ dx/ d\theta} \\&#10;&= \frac{(3 + 2\cos\theta)(\cos\theta) + (-2\sin\theta)(\sin\theta)}{(3 + 2\cos\theta)(-\sin\theta) + (-2\sin\theta)(\cos\theta)} \\ \\&#10;\left.\frac{dy}{dx}\right_{\theta = \frac{\pi}{2}}&#10;&= 2/3&#10;\end{aligned}

2/3 is the slope

____________

(c)

"</span><span>distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3

A</span>ngle θ and r are related via <span>r = 3 + 2cosθ, so implicitly differentiating with respect to time

</span><span />\displaystyle\frac{dr}{dt} = -2\sin\theta \frac{d\theta}{dt} \quad \stackrel{\theta = \pi/3}{\implies} \quad 3 = -2\left( \frac{\sqrt{3}}{2}}\right) \frac{d\theta}{dt} \implies \\ \\ \frac{d\theta}{dt} = -\sqrt{3} \text{ radians per second}
5 0
3 years ago
Other questions:
  • A 9-pack of notebooks costs $3.87. What is the unit price?
    6·2 answers
  • Mary buys a 10-meter spool of thread for sewing. She uses 210 centimeters. How much is left on the spool in centimeters?
    9·1 answer
  • The sum of two numbers is nine. If one number is subtracted from the other, the result is -3. Find the numbers
    7·1 answer
  • Find the area of a triangle when a = 5, B = 37º, and C= 84º
    7·1 answer
  • HELP ME GENIUS PLEASE I AM SO TIRED OF DOING IT
    5·1 answer
  • What is the measure of PRQ
    6·1 answer
  • Rema purchased 18 ounces of gold in 2005 for $414 per ounce in order to try to diversify her investment portfolio. She sold a th
    9·1 answer
  • 6(2u) what is the answer
    6·1 answer
  • Find the least common multiple of 24x2 and 8x^2 - 16x The least common multiple is​
    7·1 answer
  • Find the median and first quartile, Q1,
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!