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3 years ago

I’m so confused on this. Someone please help, please and thank you <3

Mathematics

1 answer:

galben [10]3 years ago

7 0

Step-by-step explanation:

The formula of a distance between two points:

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

We have

A(0, 0), C(a, b)

$AC=\sqrt{(a-0)^2+(b-0)^2=\sqrt{a^2+b^2}$

B(a, 0), D(0, b)

$BD=\sqrt{(0-a)^2+(b-0)^2}=\sqrt{(-a)^2+b^2}=\sqrt{a^2+b^2}$

Therefore AC = BD.

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3 years ago

Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.

liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

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Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial $x^2-x-2$

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

$(x-2) (x + 1)$

We do the same with the numerator

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We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

$(x+3)(x + 1)$

Therefore

$f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}$

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So since $x = -1$ is not included in the domain the function has a discontinuity in $x = -1$

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3 years ago

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myrzilka [38]

Answer:

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Step-by-step explanation:

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3 years ago

Find the value of y.

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Answer:

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Step-by-step explanation:

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3 years ago

An artificial soccer pitch is 91 meters long and 43 meters wide. If the cost of the pitch is AED 20 per square meter. What is th

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The Cost of installing the artificial soccer pitch is $5360

A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal.

The soccer pitch us rectangle in shape. Hence:

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Cost of installing the pitch = $20 per meter * 268 meters = $5360

The Cost of installing the artificial soccer pitch is $5360

Find out more on perimeter at: brainly.com/question/16596982

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2 years ago