Ask question

Ask question

All categories

3 years ago

5

Please help, tell me the correct answer and explain it!!! I need iiiitt pleasee

2 answers:

katrin [286]3 years ago

7 0

What is the question

poizon [28]3 years ago

5 0

A
It said I needed more than 20 characters

You might be interested in

Х- а<br>x-b<br>If f(x) = b.x-a÷b-a + a.x-b÷a - b<br>Prove that: f (a) + f(b) = f (a + b)

GenaCL600 [577]

Given:

Consider the given function:

$f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot(x-b)}{a-b}$

To prove:

$f(a)+f(b)=f(a+b)$

Solution:

We have,

$f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot (x-b)}{a-b}$

Substituting $x=a$ , we get

$f(a)=\dfrac{b\cdot(a-a)}{b-a}+\dfrac{a\cdot (a-b)}{a-b}$

$f(a)=\dfrac{b\cdot 0}{b-a}+\dfrac{a}{1}$

$f(a)=0+a$

$f(a)=a$

Substituting $x=b$ , we get

$f(b)=\dfrac{b\cdot(b-a)}{b-a}+\dfrac{a\cdot (b-b)}{a-b}$

$f(b)=\dfrac{b}{1}+\dfrac{a\cdot 0}{a-b}$

$f(b)=b+0$

$f(b)=b$

Substituting $x=a+b$ , we get

$f(a+b)=\dfrac{b\cdot(a+b-a)}{b-a}+\dfrac{a\cdot (a+b-b)}{a-b}$

$f(a+b)=\dfrac{b\cdot (b)}{b-a}+\dfrac{a\cdot (a)}{-(b-a)}$

$f(a+b)=\dfrac{b^2}{b-a}-\dfrac{a^2}{b-a}$

$f(a+b)=\dfrac{b^2-a^2}{b-a}$

Using the algebraic formula, we get

$f(a+b)=\dfrac{(b-a)(b+a)}{b-a}$ $[\because b^2-a^2=(b-a)(b+a)]$

$f(a+b)=b+a$

$f(a+b)=a+b$ [Commutative property of addition]

Now,

$LHS=f(a)+f(b)$

$LHS=a+b$

$LHS=f(a+b)$

$LHS=RHS$

Hence proved.

5 0

3 years ago

What is 0.000000986 in scientific notation?<br> ____x10---

Lilit [14]

$0.000000986 = 986 \times 10^{-9}=\boxed{ 9.86 \times 10^{-7}}$

3 0

3 years ago

Read 2 more answers

A car travels 55.9 in an hour. If the car continues at the same speed, for 12 hours how many will it travel?

kirill [66]

Answer:

670.8

Step-by-step explanation:

55.9x12=670.8

7 0

3 years ago

Please help me!!! I'm lost tap the attachment

BabaBlast [244]

Answer:

Below.

Step-by-step explanation:

I'll do number 20, 21, 22 for you.

20. It is ±1, ±2, ±4, ±8.

21. Reflected over the x-axis and down 4.

22. Common ratio = 25/5 = 5.

23. Imaginary roots occur in pairs so there is also a root -5i.

The answer is c.

19. Option (a).

This is a translation of 4 to the left ( due to the (x + 4).

3 0

3 years ago

Two angles are complementary. The larger

tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

4 0

3 years ago