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2 years ago

Describe the symmetry if these functions

Mathematics

1 answer:

raketka [301]2 years ago

3 0

Answer:

see the attachment.

i hope this can help you!

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Here are two steps from the derivation of the quadratic formula

Maru [420]

Answer:

Step-by-step explanation:

Completing the square means

adding ( half the coefficient of the x- term )² to both sides, that is

( $\frac{b}{2a}$ )² is added to both sides

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3 years ago

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Matt has a rectangular garden that is 10 ft wide and 24 Ft long . He wants to build a fence from one corner to the opposite corn

iogann1982 [59]

He needs 26 feet of fence.

The diagonal of the rectangle forms the hypotenuse of a right triangle. The two legs would be the width of the rectangle, 10, and the length, 24:

10²+24² = c²
100+576 = c²
676 = c²
c = √676 = 26

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3 years ago

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Find the distance between two points. (1,3)(-2,8)

Natasha2012 [34]

Answer:

4,10

Step-by-step explanation:

add the numbers together

6 0

3 years ago

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A curve is given by y=(x-a)√(x-b) for x≥b, where a and b are constants, cuts the x axis at A where x=b+1. Show that the gradient

ankoles [38]

<u>Answer:</u>

A curve is given by y=(x-a)√(x-b) for x≥b. The gradient of the curve at A is 1.

<u>Solution:</u>

We need to show that the gradient of the curve at A is 1

Here given that ,

$y=(x-a) \sqrt{(x-b)}$ --- equation 1

Also, according to question at point A (b+1,0)

So curve at point A will, put the value of x and y

$0=(b+1-a) \sqrt{(b+1-b)}$

0=b+1-c --- equation 2

According to multiple rule of Differentiation,

$y^{\prime}=u^{\prime} y+y^{\prime} u$

so, we get

${u}^{\prime}=1$

$v^{\prime}=\frac{1}{2} \sqrt{(x-b)}$

$y^{\prime}=1 \times \sqrt{(x-b)}+(x-a) \times \frac{1}{2} \sqrt{(x-b)}$

By putting value of point A and putting value of eq 2 we get

$y^{\prime}=\sqrt{(b+1-b)}+(b+1-a) \times \frac{1}{2} \sqrt{(b+1-b)}$

$y^{\prime}=\frac{d y}{d x}=1$

Hence proved that the gradient of the curve at A is 1.

7 0

3 years ago

Let f(x) = -2x + 4 and g(x) = 5x - 7. Find f(x) - g(x).

balandron [24]

Answer:

If you are just looking for a simplified answer then the answer is -7x - 3.

4 0

3 years ago