Ask question

Ask question

All categories

1 year ago

15

What is the value of the hypotenuse in the triangle below ?

2 answers:

sattari [20]1 year ago

8 0

Answer:

Step-by-step explanation:

10

juin [17]1 year ago

5 0

the answer is totally absolutely 10

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

Help me pls somebody

Nataliya [291]

Answer:

Its A

Step-by-step explanation:

i know

4 0

3 years ago

How many inches is a pushpin

Eva8 [605]

There isnt a full inch in a push pin there is only 3/4 of one

3 0

3 years ago

Does anyone know about this I will give brainliest for the correct answer I really need help

Mandarinka [93]

Answer:

32

Step-by-step explanation:

y

8 0

3 years ago

Read 2 more answers

Find the value of each variable

Klio2033 [76]

Answer:

m∠P = m∠Q = m∠R = 60º

Step-by-step explanation:

Because each of the sides are congruent, the angles are congruent. A triangle must add up to 180º, so when you divide 180 by 3, you get 60. Therefore, each angle is 60º.

4 0

3 years ago

Read 2 more answers