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2 years ago

9

How do i write y + 3 = 3/2(x + 1) in slope intercept form?

1 answer:

DENIUS [597]2 years ago

4 0

Answer:

y=3/2x-3/2

Step-by-step explanation:

You might be interested in

Evaluate the spherical coordinate integral

expeople1 [14]

Rewrite the equations of the given boundary lines:

<em>y</em> = -<em>x</em> + 1 ==> <em>x</em> + <em>y</em> = 1

<em>y</em> = -<em>x</em> + 4 ==> <em>x</em> + <em>y</em> = 4

<em>y</em> = 2<em>x</em> + 2 ==> -2<em>x</em> + <em>y</em> = 2

<em>y</em> = 2<em>x</em> + 5 ==> -2<em>x</em> + <em>y</em> = 5

This tells us the parallelogram in the <em>x</em>-<em>y</em> plane corresponds to the rectangle in the <em>u</em>-<em>v</em> plane with 1 ≤ <em>u</em> ≤ 4 and 2 ≤ <em>v</em> ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

$J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3$

Rewrite the integrand:

$-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3$

The integral is then

$\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}$

5 0

2 years ago

Callie has a new kitten. They can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18

gavmur [86]

Answer:

The weight of cat is <u>14 pounds</u> and the weight of kitten is <u>4 pounds</u>.

Step-by-step explanation:

Given:

Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.

Now, to find the weight of each animal:

Let the cat's weight be $x.$

And the kitten weight = $\frac{x}{2} -3$

Total weight of cat and kitten = 18 pounds.

Now, to set an equation to get the weight of each animal:

$(x)+(\frac{x}{2}-3)=18$

$x+\frac{x}{2} -3=18$

$\frac{2x+x-6}{2} =18$

$\frac{3x-6}{2} =18$

<em>Multiplying both sides by 2 we get:</em>

<em /> $3x-6=36$ <em />

<em>Adding both sides by 6 we get:</em>

<em /> $3x=42$ <em />

<em>Dividing both sides by 3 we get:</em>

<em /> $x=14\ pounds.$ <em />

<em>The weight of cat = 14 pounds.</em>

Substituting the value of $x$ to get the kitten's weight:

$\frac{x}{2} -3\\\\=\frac{14}{2}-3\\\\=7-3\\\\=4.$

<em>The kitten's weight = 4 pounds.</em>

Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.

7 0

2 years ago

Answer the question below

Lina20 [59]

Answer:

kckgkfjjfufufuf8f8ff88r8r8r8r8r8rrffufuufuff

3 0

2 years ago

There are 16 tables in the school lunch room each table can seat 22 students. How many students can be seated at lunch at one ti

Alexandra [31]

352 . If you multiply 16 by 22 it will give u an answer of 352

8 0

3 years ago

Read 2 more answers

У - 6x = ||<br> -77<br> - 2x-3y=-7

Maksim231197 [3]

Answer:

<h2>x= 37/16</h2><h3>y=199/8</h3>

Step-by-step explanation:

1....y=11+6x

-77-2x+3y=-7

replace y by ..1..

so -77-2x+3(11+6x)=-7

-77-2x+33+18x=-7

-44+16x=-7

16x=37

y=11+6x

replace x by 37/16

y=11+6*37/16

y=199/8

6 0

2 years ago