4 years ago

What fraction is greater than 4/5

Mathematics

1 answer:

sp2606 [1]4 years ago

4 0

A greater fraction than 4/5 is 9/10

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What is the value of x? Enter your answer in the box. Ft Triangle V T K with segment T Y such that Y is on segment V K, between

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Step-by-step explanation:

Since angle VTY is congruent to angle VTK, segment TY bisects angle VTK. Since Y is on segment VK, between V and K, we can use the Angle Bisector Theorem, which states that:

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3 years ago

Read 2 more answers

Find (f • g) (x) Assume x>0

lisabon 2012 [21]

Answer:

$\textsf{B.} \quad (f \cdot g)(x)=10x$

Step-by-step explanation:

Given:

$\begin{cases}f(x)=\sqrt{50x}\\g(x)=\sqrt{2x}\end{cases}$

$\begin{aligned}\textsf{As }(f \cdot g)(x) & = f(x) \cdot g(x)\\\implies (f \cdot g)(x)& = \sqrt{50x} \cdot \sqrt{2x}\end{aligned}$

$\textsf{Apply radical rule} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}:$

$\begin{aligned}\implies (f \cdot g)(x) &= \sqrt{50x2x}\\& = \sqrt{100x^2}\end{aligned}$

Rewrite 100 as 10²:

$\implies (f \cdot g)(x)=\sqrt{10^2x^2}$

$\textsf{Apply exponent rule} \quad a^bc^b=(ac)^b:$

$\implies (f \cdot g)(x)= \sqrt{(10x)^2}$

$\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:$

$\implies (f \cdot g)(x)=10x$

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2 years ago