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3 years ago

7

Write y-3- (-x-2) in standard form.

1 answer:

Darya [45]3 years ago

8 0

X+Y-1, hope that helps

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Find the solution to the system by the substitution method. Check your answer.

polet [3.4K]

Answer:

#1 x=44+7y

#2

$x =10 + \frac{y}{5}$

Step-by-step explanation:

used math.way hope this helps

6 0

3 years ago

Si p+ 2p+3p=12, ¿cual es el valor de 5p -1

Nutka1998 [239]

For this case we have the following equation:

$p + 2p + 3p = 12$

To solve we follow the steps below:

We add similar terms from the left side of the equation:

$6p = 12$

We divide between 6 on both sides of the equation:

$p = \frac {12} {6}\\p = 2$

Finally, we have to:

$5p-1 = 5 (2) -1 = 10-1 = 9$

Answer:

$p = 2\\5p-1 = 9$

8 0

3 years ago

The number 88 is 44% of what number

castortr0y [4]

Answer:

Your answer is 38.72

Step-by-step explanation: I did not know what it was so i googled it lol. this one was tough! hope it is correct! it is google so i bet it is :)

3 0

4 years ago

9.80x10^-3 + 1.60x10^-4 scientific notation

e-lub [12.9K]

<span>0.00996 would be it I just took a quiz like that but good luck</span>

6 0

3 years ago

Read 2 more answers

Find the point (,) on the curve =8 that is closest to the point (3,0). [To do this, first find the distance function between (,)

ELEN [110]

Question:

Find the point (,) on the curve $y = \sqrt x$ that is closest to the point (3,0).

[To do this, first find the distance function between (,) and (3,0) and minimize it.]

Answer:

$(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})$

Step-by-step explanation:

$y = \sqrt x$ can be represented as: $(x,y)$

Substitute $\sqrt x$ for $y$

$(x,y) = (x,\sqrt x)$

So, next:

Calculate the distance between $(x,\sqrt x)$ and $(3,0)$

Distance is calculated as:

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

So:

$d = \sqrt{(x-3)^2 + (\sqrt x - 0)^2}$

$d = \sqrt{(x-3)^2 + (\sqrt x)^2}$

Evaluate all exponents

$d = \sqrt{x^2 - 6x +9 + x}$

Rewrite as:

$d = \sqrt{x^2 + x- 6x +9 }$

$d = \sqrt{x^2 - 5x +9 }$

Differentiate using chain rule:

Let

$u = x^2 - 5x +9$

$\frac{du}{dx} = 2x - 5$

So:

$d = \sqrt u$

$d = u^\frac{1}{2}$

$\frac{dd}{du} = \frac{1}{2}u^{-\frac{1}{2}}$

Chain Rule:

$d' = \frac{du}{dx} * \frac{dd}{du}$

$d' = (2x-5) * \frac{1}{2}u^{-\frac{1}{2}}$

$d' = (2x - 5) * \frac{1}{2u^{\frac{1}{2}}}$

$d' = \frac{2x - 5}{2\sqrt u}$

Substitute: $u = x^2 - 5x +9$

$d' = \frac{2x - 5}{2\sqrt{x^2 - 5x + 9}}$

Next, is to minimize (by equating d' to 0)

$\frac{2x - 5}{2\sqrt{x^2 - 5x + 9}} = 0$

Cross Multiply

$2x - 5 = 0$

Solve for x

$2x =5$

$x = \frac{5}{2}$

Substitute $x = \frac{5}{2}$ in $y = \sqrt x$

$y = \sqrt{\frac{5}{2}}$

Split

$y = \frac{\sqrt 5}{\sqrt 2}$

Rationalize

$y = \frac{\sqrt 5}{\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}$

$y = \frac{\sqrt {10}}{\sqrt 4}$

$y = \frac{\sqrt {10}}{2}$

Hence:

$(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})$

3 0

3 years ago