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4 years ago

Find the distance between (-10,12) and (-6,-14). Round to the nearest hundredth

Mathematics

1 answer:

MA_775_DIABLO [31]4 years ago

4 0

Answer:

26.31 units

Step-by-step explanation:

Given: Points $(-10,12),(-6,-14)$

To find: Distance between the given points

Solution:

Let $(x_1,y_1)=(-10,12)\,,\,(x_2,y_2)=(-6,-14)$

The distance formula is used to find the distance between two points $(x_1,y_1),(x_2,y_2)$

According to distance formula,

Distance = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$\sqrt{(-6+10)^2+(-14-12)^2}\\ =\sqrt{16+676}\\ =\sqrt{692}\\ =26.31$

So, distance between the given points is 26.31 units

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3 years ago

Select the correct answer. which expression is equivalent to the given expression? assume the denominator does not equal zero. a

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If the denominator does not equal 0, the equivalent expression of $\frac{14x^4y^6}{7x^8y^2}$ is $\frac{2y^{4}}{x^{4}}$ $\frac{x^{10} y^{14}}{729}$

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

$\frac{14x^4y^6}{7x^8y^2}$

Divide 14 by 7

$\frac{14x^4y^6}{7x^8y^2} = \frac{2x^4y^6}{x^8y^2}$

Apply the law of indices

$\frac{14x^4y^6}{7x^8y^2} = \frac{2y^{6-2}}{x^{8-4}}$

Evaluate the differences in the exponents

$\frac{14x^4y^6}{7x^8y^2} = \frac{2y^{4}}{x^{4}}$

Hence, the equivalent expression of $\frac{14x^4y^6}{7x^8y^2}$ is $\frac{2y^{4}}{x^{4}}$

Read more about equivalent expressions at:

brainly.com/question/2972832

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2 years ago

Which phrase best describes f(x) graphed on the on the coordinate plane below?

Gennadij [26K]

We know that

Odd function:

When we have

$f(-x)=-f(x)$

Even function:

When we have

$f(-x)=f(x)$

We will reflect our graph about y-axis

When we reflect about y-axis

we will get same graph except same curve moves to bottom

so, this is odd function

option-A........Answer

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4 years ago

Read 2 more answers