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
alexira [117]
3 years ago
7

Can someone please help with these 2 math questions? :)

Mathematics
1 answer:
juin [17]3 years ago
7 0

Answer:

4. 8.8 years

5. 8.6 meters

Step-by-step explanation:

4. The process of solving the equation f(x) = g(x) gives rise to a 4th-degree equation. Those are best solved using some sort of machine solver. A graphing calculator is often a good place to start. If you're going to do that anyway, you may as well start with a graphical solution to the question.

A plot of the two curves finds they intersect at about x = 8.8. (See the first attachment.) This avoids the extraneous solutions introduced by the process of eliminating the radical.

___

5. Analytical solution is simpler here, but the graphing calculator is faster yet. It shows the two rocks are at the same height at 8.6 meters (if they're launched at the same time).

... f(x) = g(x)

... -4.9x^2 +17 = -4.9x^2 +13x

... 17 = 13x . . . . . add 4.9x^2

... 17/13 = x . . . . time when rocks meet

... f(17/13) = -4.9(17/13)^2 +17 = -1416.1/169 +17 ≈ 8.62071

... f(17/13) ≈ 8.6 . . . . height at which rocks meet

You might be interested in
For the right triangles below, find the exact values of the side lengths b and d.
Ivanshal [37]

Answer:

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached below;

According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"

According to SOH, CAH, TOA;

tanθ = opposite/adjacent (using TOA)

Given;

θ = 30°, opposite = 5 and adjacent = b

tan30° = 5/b

b = 5/tan30°

b = 5/(1/√3)

b = 5*√3/1

b = 5√3

According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7

Using SOH;

sinθ = opposite/hypotenuse

Given;

θ = 45°, opposite = d and adjacent = 7

sin45° = d/7

d = 7sin45°

d = 7(1/√2)

d = 7/√2

Rationalize 7/√2

= 7/√2*√2/√2

=7√2/2

Hence the value of d is 7√2/2

7 0
3 years ago
Measurements of regular hexagon
TEA [102]
The regular hexagon has both reflection symmetry and rotation symmetry.

Reflection symmetry is present when a figure has one or more lines of symmetry. A regular hexagon has 6 lines of symmetry. It has a 6-fold rotation axis.

http://prntscr.com/96ow2n

Rotation symmetry is present when a figure can be rotated (less than 360°) and still look the same as before it was rotated. The center of rotation is a point a figure is rotated around such that the rotation symmetry holds. A regular hexagon can be rotated 6 times at an angle of 60°

<span>http://prntscr.com/96oxjx</span>
5 0
3 years ago
-4x+2y=5 is this in a standard form
soldier1979 [14.2K]

Right. Your answer is still no because your x-value needs to be positive.

8 0
3 years ago
How do you solve 6650÷50
SpyIntel [72]

Answer:

its 133

Step-by-step explanation:

50 fits into 6650 133 times. u cant show a pic but if you know division, its easy.

4 0
3 years ago
WHOEVER ANSWERS CORRECT AND FAST WILL GET BRAINLIEST
amid [387]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they doubled the
    7·2 answers
  • According to projections through the year​ 2030, the population y of the given state in year x is approximated by State​ A: minu
    8·1 answer
  • Help me please thank
    14·1 answer
  • A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same
    13·2 answers
  • Translate the following words into an algebraic expression.
    15·2 answers
  • What two numbers can add to 4 but multiple to -12
    13·1 answer
  • Marty and Adam want to share 8/10 feet of rope, equally. What amount of rope should each person get?
    5·1 answer
  • In an arithmetic sequence, if a2=5 and a10=19 find a6
    12·1 answer
  • Which of the following expressions is equivalent to 1/4(8 - 6x + 12)?
    14·2 answers
  • PLS HELPPP THIS IS MY LAST QUIZ AND I RLY NEED TO ACE IT ILL GIVE BRAINIEST
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!