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
makvit [3.9K]
3 years ago
7

What is the y-value of the point of intersection of y=2sinx-cosx and y=cosx over the interval 0≤x≤pi/2 ? a. 0 b. (square root of

2)/2 c. (square root of 3)/2 d. 1

Mathematics
2 answers:
horsena [70]3 years ago
7 0
We have that

<span>y=2sinx-cosx
y=cosx
</span>over the interval 0≤x≤pi/2-------> 0≤x≤1.57

using a graph tool
see the attached figure

the solution in the given interval is the point (pi/4, 0.707)
the y-value of the point of intersection is 0.707 -----> √2/2

the answer is the option 
<span>b. (square root of 2)/2</span>

Hunter-Best [27]3 years ago
4 0

Answer:

Option b. √2/2 is the correct option.

Step-by-step explanation:

Two functions are given as y = 2sinx - cosx and y = cosx

Now we have to find the point of intersection of two given functions.

So at the point of intersection of these graphs

2 sinx - cosx = cosx

2 sinx = 2 cosx

sinx = cosx

For the given value of x = π/4 sine and cosine functions are equal.

Therefore y value of both the functions

y = cos(π/4) = 1/√2 = √2/2

Therefore over the interval 0≤x≤π/2 value of y coordinate will be √2/2.

You might be interested in
A dealer sold a stereo system for $754 after he marked it up 45%. What did the dealer pay for the stereo system?
svetlana [45]
754/145 = 5.2
5.2 x 100 = 520
Final answer = 520
8 0
3 years ago
What is the value of a in the equation −14a−5=−12?
-BARSIC- [3]
-14a-5=-12
+5 +5
-14a=-7
Divide -7 by -14a
a=2
7 0
2 years ago
Is this the correct answer, yall?
ehidna [41]
Yes, yes it is; well done.
4 0
3 years ago
Please help me ASAP!
Vsevolod [243]

Answer:

1. A=300miles B=300

2.A=50mph B=40mph

3.A=300miles B=200miles

Step-by-step explanation:

<em><u>1.</u></em>

Simply just read the graph

<em><u>2.</u></em>

do not let line B fool you, car b may look like it was faster, but unlike car a it started at 100 miles rather than 0 miles

<em><u>3.</u></em>

Just like 2, do not be fooled, you have to subtract to find b but a is easily found

I hope this helps u pls give a brainliest and a thx ;)

5 0
3 years ago
Which of the following numbers is greatest, or furthest to the right on the number line? {56, 39, 74, 81, 62}
Dimas [21]
The greatest number is 81
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of x?
    8·1 answer
  • The amount of fat, in grams, in granola is proportional to the volume, in cups, of the granola as shown on graph.
    12·2 answers
  • A train leaves train station A and heads due west for 105 miles to reach train station B. Another train leaves train station A a
    13·2 answers
  • A scientist working with 0.9 M of gold wire how long is the wire in millimeters?
    13·1 answer
  • Which products result in a difference of squares? Check all that apply. (x – y)(y – x) (6 – y)(6 – y) (3 + xz)(–3 + xz) (y2 – xy
    9·1 answer
  • What is the equation for twice a number gives 10
    5·2 answers
  • Suppose that competing hypotheses for a test are H0: p1 - p2 = 0 versus HA: p1 - p2 ≠ 0. A 95% confidence interval for the diffe
    13·1 answer
  • Find S^20 if the series 1 + 1.1 ..... is a (a) arithmetic (b) geometric
    13·1 answer
  • Which of the following equations have no solutions?
    9·2 answers
  • A ball was thrown upward into the air. The height, in feet, of the ball t seconds after it's thrown can be determined by the fol
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!