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
sammy [17]
3 years ago
7

There is an arcade in the amusement park.  A computer game there uses functions to simulate the paths of an archer’s arrows. The

x-axis represents the level ground on which the archer stands, and the coordinate pair (2,5) represents the top of a castle wall over which he is trying to fire an arrow.
In response to user input, the first arrow followed a path defined by the function f(x)=6-x^2, failing to clear the castle wall.




The next arrow must be launched with the same force and trajectory, so the user must reposition the archer in order for his next arrow to have any chance of clearing the wall.

a. How much closer to the wall must the archer stand in order for the arrow to clear the wall by the greatest possible distance?

b. What function must the user enter in order to accomplish this?

c. If the user can only enter functions of the form f(x+k), what are all the values of k that would result in the arrow clearing the castle wall?

Mathematics
1 answer:
lora16 [44]3 years ago
7 0
C.if the user can only enter functions of the form f(x+k), what are all the values of k that would result in the arrow clearing the castle wall
You might be interested in
NEED HELP Graph the following equations on graph paper or in your calculator.
Snowcat [4.5K]

Step-by-step explanation:

6 0
2 years ago
Evaluating the Six Trigonometric Function Question attached
ziro4ka [17]
If tan theta is -1, we know immediately that theta is in either Quadrant II or Q IV.  We need to focus on Q IV due to the restrictions on theta.

Because tan theta is -1, the ray representing theta makes a 45 degree angle with the horiz axis, and a 45 degree angle with the negative vert. axis.  Thus the hypotenuse, by the Pythagorean Theorem, tells us that the hyp is sqrt(2).
Thus, the cosine of theta is adj / hyp, or +1 / sqrt(2), or [sqrt(2)]/2

The secant of theta is the reciprocal of that, and thus is

   2            sqrt(2)
---------- * ------------ = sqrt(2)    (answer)
 sqrt(2)      sqrt(2)  
6 0
3 years ago
Read 2 more answers
23. The letters of the alphabet are written on
Alla [95]

Answer:

21/676

Step-by-step explanation:

The total number of letters of the alphabet will be the total outcome which is 26 alphabets.

If consonant numbers are drawn out, the probability of drawing a consonant will be total consonants/total alphabets

Total consonants in the alphabet is 21.

Probability of drawing consonants = 21/26.

Since all the consonants are replaced before drawing a Z, our total outcome will not change i.e it will still be 26.

Probability of drawing a letter Z will be 1/26.

Therefore, the probability of drawing a consonant,replacing it, and then drawing a Z will be;

21/26×1/26

= 21/676

5 0
3 years ago
A student studying for a vocabulary test knows the meanings of 14 words from a list of 22 words. If the test contains 10 words f
DIA [1.3K]
The sample space is 22 words and out of it, 14 words are known to have meanings for the student. In the problem, we use 10 C8 + 10 C9 + 10 C10 to associate at least 8 words. The complete formula is (10 C8 * (14/22)^8 * (8/22)^2 + 10 C9  (14/22)^9 * (8/22)^1 + 10 C 10 (14/22)^10 * (8/22)^)0) that is equal to 0.233
8 0
3 years ago
Read 2 more answers
What type of triangle is this
olga_2 [115]

Answer:

an acute triangle

Explanation:

All of the angles are less than 90 degrees, which is an acute triangle.

3 0
2 years ago
Read 2 more answers
Other questions:
  • (-14) = ((-2) – (3 + (+2))] - 7<br> Help me
    15·2 answers
  • Alicia says the expression 2(m+4)+5 is equivalent to the expression 2m+13. Identify two properties that can be used to support A
    12·2 answers
  • In a field of ducks and a dog someone counted 25 heads and 80 legs. How many dogs and ducks are there
    7·2 answers
  • Evaluate the integral below, where C is the curver(t) = ‹sin(t),cos(t), sin(2t)›, 0 ≤ t ≤2π. (Hint: Observe that C lies on the s
    9·1 answer
  • LaTeX: \frac{16}{24} 1624 in simplest form?
    9·1 answer
  • HELP PLEASE ASAP!!!!!!!!!!
    12·2 answers
  • Which expression is equivalent to (a^2b^4c)^2(6a^3b)(2c^5)^3/4a^6b^12c^3
    8·2 answers
  • FOLLOW DIRECTIONS PLEASE! WILL MARK BRAINLIEST! MORE QUESTIONS TO COME!
    10·2 answers
  • Nadine received the same score on each turn in an online game. Her score on each turn was −24. She had 4 turns.
    10·2 answers
  • Help!!!!!!!!!!!!!!!!!!!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!