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3 years ago

Please help solve: Graph y-4=2(x-2)

Mathematics

1 answer:

xeze [42]3 years ago

3 0

Answer:

Graph y = 2x

Step-by-step explanation:

First, let's get the equation into standard form. Distribute the 2 on the right.

$y-4=2x-4$

Next, we want the variable "y" to be alone, so we at 4 to both sides.

$y-4+(4)=2x-4+(4)\\\\y=2x$

That is our equation in standard y = mx + b form. "m" is our slope, while "b" is our y-intercept. Above , we don't have a value for b, therefore the line passes through the origin.

We do, however, have a slope, which can be thought of as $\frac{rise}{run}$ or rise over run. To represent this, we can rewrite our slope as:

$y=\frac{2}{1}x$

Meaning in each interval, the line goes up by 2 units, and moves forward by 1.

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The dimensions of a rectangle are:

lara [203]

The dimensions of a rectangle are -3x - 2 and 10x - 9 The simplified expression for the rectangle's perimeter is 14x – 22

Solution:

Given that dimensions of a rectangle are -3x – 2 and 10x – 9

Let’s say width of the rectangle = w = -3x – 2

And length of the rectangle = l = 10x – 9

The formula for perimeter of rectangle is given as:

Perimeter of rectangle = 2 (l + w)

By substituting the length and width values we get,

=> Perimeter of rectangle = 2 [(10x – 9 ) + ( -3x – 2 )]

On simplification we get,

= 2 (10x – 9 – 3x – 2 ) = 2 (7x – 11)

=> Perimeter of rectangle = 14x – 22

Hence simplified expression for the rectangle's perimeter having dimensions as -3x - 2 and 10x – 9 is 14x – 22

8 0

3 years ago

Solve for k: 8 36 K 1.8

tekilochka [14]

Step-by-step explanation:

I there a picture for the problem ?

6 0

3 years ago

Use the distributive property to multiply 34x6 , 16x9 , 27x8

iragen [17]

6x30+6x4

9x10+9x6

8x20+8x7

hope this helps

6 0

3 years ago

Find dy/dx. if y = 8u - 6 and u = 3x - 8.

Dmitriy789 [7]

Use the chain rule:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx}$

We have

$y=8u-6\implies\dfrac{\mathrm dy}{\mathrm du}=8$

$u=3x-8\implies\dfrac{\mathrm du}{\mathrm dx}=3$

so we get

$\dfrac{\mathrm dy}{\mathrm dx}=8\cdot3=\boxed{24}$

Alternatively, you can substitute u in the definition of y and differentiate with respect to x :

$y=8u-6=8(3x-8)=24x-64\implies\dfrac{\mathrm dy}{\mathrm dx}=24$

7 0

3 years ago

Please help I'm struggling

svetlana [45]

Answer:

the first is 1/5 what are the other options

Step-by-step explanation:

4 0

3 years ago