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
sveta [45]
3 years ago
12

For the questions, imagine a segment in a plane. Use that information to help you answer the questions.

Mathematics
1 answer:
Mars2501 [29]3 years ago
7 0
1 a
2 c
3 a

Hope this help :)
You might be interested in
A bicyclist travels 13 km at a speed of 20 km/hr. how long does it take her to travel this distance?
aliina [53]

Answer:

{ \tt{time =  \frac{distance}{time} }} \\

  • speed is 20 km/hr
  • distance is 13 km

{ \tt{time =  \frac{13}{20} }} \\  \\ { \boxed{ \tt{ \: time = 0.65 \: hours}}}

3 0
2 years ago
Nathan usually drinks 37 ounces of water per day. He read that he should drink 62 ounces of water per day. If he starts drinking
Bad White [126]

Answer:

68%

Step-by-step explanation:

The increase is (62 - 37), or 25, ounces.  Comparing this to the original quantity (37 oz), we divide 25 oz. by 37 oz., obtaining 0.676 (a ratio).  Multiplying this ratio by 100%, we get 68% (to the nearest percent).

5 0
3 years ago
a sequence is defined by ths formula (n+1)=f(n)+3 the first term of the sequence is -4 what is the next term in the sequence
jenyasd209 [6]
How I understand from your writing next term is equal previous plus 3,
if 1st is  -4, then next (second) should be -4+3= -1
6 0
3 years ago
CALCULUS - Find the values of in the interval (0,2pi) where the tangent line to the graph of y = sinxcosx is
Rufina [12.5K]

Answer:

\{\frac{\pi}{4}, \frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}\}

Step-by-step explanation:

We want to find the values between the interval (0, 2π) where the tangent line to the graph of y=sin(x)cos(x) is horizontal.

Since the tangent line is horizontal, this means that our derivative at those points are 0.

So, first, let's find the derivative of our function.

y=\sin(x)\cos(x)

Take the derivative of both sides with respect to x:

\frac{d}{dx}[y]=\frac{d}{dx}[\sin(x)\cos(x)]

We need to use the product rule:

(uv)'=u'v+uv'

So, differentiate:

y'=\frac{d}{dx}[\sin(x)]\cos(x)+\sin(x)\frac{d}{dx}[\cos(x)]

Evaluate:

y'=(\cos(x))(\cos(x))+\sin(x)(-\sin(x))

Simplify:

y'=\cos^2(x)-\sin^2(x)

Since our tangent line is horizontal, the slope is 0. So, substitute 0 for y':

0=\cos^2(x)-\sin^2(x)

Now, let's solve for x. First, we can use the difference of two squares to obtain:

0=(\cos(x)-\sin(x))(\cos(x)+\sin(x))

Zero Product Property:

0=\cos(x)-\sin(x)\text{ or } 0=\cos(x)+\sin(x)

Solve for each case.

Case 1:

0=\cos(x)-\sin(x)

Add sin(x) to both sides:

\cos(x)=\sin(x)

To solve this, we can use the unit circle.

Recall at what points cosine equals sine.

This only happens twice: at π/4 (45°) and at 5π/4 (225°).

At both of these points, both cosine and sine equals √2/2 and -√2/2.

And between the intervals 0 and 2π, these are the only two times that happens.

Case II:

We have:

0=\cos(x)+\sin(x)

Subtract sine from both sides:

\cos(x)=-\sin(x)

Again, we can use the unit circle. Recall when cosine is the opposite of sine.

Like the previous one, this also happens at the 45°. However, this times, it happens at 3π/4 and 7π/4.

At 3π/4, cosine is -√2/2, and sine is √2/2. If we divide by a negative, we will see that cos(x)=-sin(x).

At 7π/4, cosine is √2/2, and sine is -√2/2, thus making our equation true.

Therefore, our solution set is:

\{\frac{\pi}{4}, \frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}\}

And we're done!

Edit: Small Mistake :)

5 0
2 years ago
If you take a number, times by 7 then subtract 1. You get the same as if you took the number multiply the number by 5 then subtr
Irina-Kira [14]

Answer:

-7/2 or -3.5

Step-by-step explanation:

Make the equation first

7x-1 = 5x-8

7 = -2x

-7/2 = x

4 0
2 years ago
Read 2 more answers
Other questions:
  • Randall is cutting a submarine sandwich into smaller pieces he has 4 ft of Saturday he wants to divide into 1/3 foot sandwiches
    7·1 answer
  • 60.2 rounded to the nearest hundredth
    7·1 answer
  • Which of the following representations are functions?
    12·1 answer
  • in gym class you run 3/5 mile your coach runs 10times that distance each day how far dose coach run each day
    14·1 answer
  • I need help to solve this answer
    9·2 answers
  • a bottle of shampoo has a capacity of 0.43 L. how many milliliiters of shampoo does the bottle contain?
    5·2 answers
  • Can someone help me and explain cause I’m really confused
    14·2 answers
  • Does anybody know the answer to this
    6·2 answers
  • Evaluate N/6 + 2 when n=12
    12·1 answer
  • PLZ DON'T JUST TAKE POINTS I WILL REPORT YOU
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!