$\text{The formula of a distance between two points on a number line:}\\\\d=|a-b|\\\\\text{for}\ a\geq b:\ d=a-b\\=========================\\\\\text{We have}\ 4.7\ \text{and}\ -11.2.\ \text{Substitute:}\\\\d=4.7-(-11.2)=4.7+11.2=15.9$

5 0

2 years ago

Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRo

Lera25 [3.4K]

Answer:

Option A.

Step-by-step explanation:

The given expression is

$\dfrac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}$

where, $y\neq 0$ .

We need to find the expression which is equivalent to the given expression.

The given expression can be rewritten as

$\dfrac{(x^2)^{\frac{1}{7}}}{(y^3)^{\frac{1}{5}}}$ $[\because \sqrt[n]{x}=x^{\frac{1}{n}}]$

$\dfrac{x^{\frac{2}{7}}}{y^{\frac{3}{5}}}$ $[\because (a^m)^n=a^{mn}]$

$x^{\frac{2}{7}}y^{-\frac{3}{5}}$ $[\because a^{-n}=\dfrac{1}{a^n}]$

Therefore, the correct option is A.

8 0

2 years ago

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Which of these is an example of acceleration? a bicyclist turning around a corner a car traveling south with its cruise control

Pie

Answer:

A bus traveling north at 25m/s

Step-by-step explanation:

Common sense

8 1

2 years ago

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Tom says he is comparing banks to see what interest rates they offer on savings accounts. Explain how Tom should use the informa

dolphi86 [110]

~Hello There!~

Tom should choose the bank that offers the highest interest rate because that would mean he makes more money.

Hope This Helps You!

Good Luck :)

Have A Great Day ^_^

- Hannah ❤

4 0

2 years ago

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