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
Mumz [18]
3 years ago
8

(e) If f(x+3) = f(x) + f(5) then prove that: f(2)= 0 and f(5) = -f(-1)​

Mathematics
1 answer:
NISA [10]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

f(x + 3) = f(x) + f(5)    (Given) so:

f(2 + 3) = f(2) + f(5)

and f(2) = f(2 + 3)  - f(5)

= f(5) - f(5) = 0.

f(-1) = f(-1 +3) - f(5)

= f(2) - f(5)

= f(-3)

So - f(-1) = f(3)

Also:

f(5) = f(x + 3) - f(x)

= f(x + 3 - x)

= f(3).

But f(3) = -f(-1)  ( shown above),

So f(5) = -f(-1).

You might be interested in
What is the area of an isosceles trapezoid, if its shorter base has length of 18 cm, the length of the altitude is 9 cm, and the
padilas [110]

The formula for the area of a triangle of base b and altitude h is A = (1/2)(b)(h).

Here, b = 18 cm and h = 9 cm.  Thus, the desired area is:

        (18 cm)(9 cm)

A = ----------------------- = 81 cm^2

                  2

This problem gives you more info than is needed to solve it.  The area of the given triangle is 81 cm^2.

5 0
4 years ago
Please help me ASAP I’m really confused.
vagabundo [1.1K]

Some key definitions:

<u>Reflexive property:</u> angles, line segments, shapes are congruent to themselves. Its easier to think of a shape: if you have a circle, then this circle is equal to itself.

<u>Symmetric property:</u> you can interchange the equal signs of an equation. So think of a=b is the same as b=a, its just the same thing written in a different order.

<u>Transitive property:</u>  If a=b, and b=c, then a=c. Basically think of it as a=b=c, all of these variables are the same as each other.

So for the first clue, you have the reflexive property.

The second clue is the symmetric property.

The third clue is the transitive property.

8 0
3 years ago
angle 1 and angle 2 form a linear pair. If measure angle 1 =18x-1 and measure angle 2=23x+17, find measure angle 2.
finlep [7]
Hey there!
Here's your answer: m<2=114.52 degrees
Here's how I got it: we know that a linear pair of angles is supplementary, aka the sum of the angles is 180 degrees.
you would add 18x-1 and 23x+7 together to equal 180 and solve for x.
then, you would substitute x for 4.24 (rounded) into 23x+17
23(4.24)+17=114.52
Hope this helps!
6 0
3 years ago
HELP!!!!!! i need help with this thingy on my 5th grade hw but... idk and i'm a little to lazy to do this so here is the thingy
Makovka662 [10]
Assuming she did a checkered pattern if she got 10 red tiles she would need 20 tiles total if the kitchen was a square. 
There seems to be some sort of missing information here or maybe a missing picture. Either way, I hope this helps. 
4 0
3 years ago
In a 30-60-90 triangle, the length of the side opposite the 30 degree angle is 9 mm. Find the length of the side opposite the 60
kicyunya [14]
Opposite the 60: 9 square roots of 3 and the hypotenuse is 18
7 0
3 years ago
Other questions:
  • Which set of angle measures could form a triangle
    8·1 answer
  • Evaluate sine squared theta for theta equals 45 degrees ​
    10·1 answer
  • What is Pythagoras' Thereom?
    7·2 answers
  • Find the area of a parallelogram if a base and corresponding altitude have the indicated lengths. Base 1 1/2 feet, altitude 6 in
    10·2 answers
  • Choose the correct simplification of the expression −5x2(4x − 6x2 − 3)
    5·2 answers
  • The length Oné side of square city block si 462 meters what is the perimeter of the block in meters
    5·1 answer
  • Help for brainiest
    6·1 answer
  • can someone help me with this i have autism and my parents aren't home I need some help with this pls will give brainly
    12·1 answer
  • For the given data points (2,5), (4,7), and (6,9), the zero --
    10·1 answer
  • From the set {30, 42, 84}, use substitution to determine which value of x makes the equation true.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!