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2 years ago

If the dimensions of the rectangle are doubled, what is the area of the new rectangle? in terms of X?

Mathematics

1 answer:

miv72 [106K]2 years ago

4 0

4(x+3)=4x+12 because when you have the ( ) you have to multiply the front # with the # inside it.

I hope that my image explains it I’m not really good at explaining things

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Use implicit differentiation to find an equation of the tangent line to the curve at the given point.

andrew11 [14]

Differentiating both sides of

$x^2 + 2xy - y^2 + x = 20$

with respect to $x$ yields

$2x + 2y + 2x \dfrac{dy}{dx} - 2y \dfrac{dy}{dx} + 1 = 0 \\\\ \implies (2x-2y) \dfrac{dy}{dx} = -1 - 2x - 2y \\\\ \implies \dfrac{dy}{dx} = \dfrac{1 + 2x + 2y}{2(y-x)}$

At the point (3, 4) (so $x=3$ and $y=4$ ), the tangent line has slope

$\dfrac{dy}{dx} = \dfrac{1 + 2\times3 + 2\times4}{2(4-3)} = \dfrac{15}2$

Then the tangent line to (3, 4) has equation

$y - 4 = \dfrac{15}2 (x - 3) \implies \boxed{y = \dfrac{15}2 x - \dfrac{37}2}$

7 0

1 year ago

What is the solution to the system of equations graphed below?

Mariulka [41]

Answer:

it is (-4,8)

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A . 5 - 4/8<br> B. -1/8 - 1/4<br> C. -1/4 - (-1/8)<br> or D. -1/6 + (-5/24)

xenn [34]

Answer:

letter ( D ).

1/6 + ( - 5 / 2 4 )

7 0

2 years ago

3/24 in lowest terms

lesya [120]

3/4 =3/4

4/6= 2/3

8/18= 4/9

9/15=3/5

7/21= 1/3

10/12= 5/6

4/8= 1/2

10/16=5/8

15/20= 3/4

3/30=1/10

7 0

2 years ago

Y=-2x+2 Y=-2x-2 state the solution

Arisa [49]

Answer:

Step-by-step explanation:

Y=-2x+2.....(1)

Y=-2x-2.....(2)

Subtracting (1) from (2)

Y - Y = -2x - (-2x) -2 - 2

O = -2x + 2x - 4

O = 0 - 4

Hence it as no solution the the two variables tend to zero

4 0

2 years ago

Read 2 more answers