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3 years ago

Determine the slope of the line that has the following coordinates: (1, 4)(2, -6)

Mathematics

1 answer:

timama [110]3 years ago

6 0

Answer:

-10

Step-by-step explanation:

First use this equation: (y2 - y1) / (x2 -x1)

The y intercept is 14 so the slope is -10.

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Suppose f(x, y) is a differentiable function of x and y and let g(r, s) = f (2rs, 8s − 2r). Use

worty [1.4K]

By the chain rule,

$\dfrac{\partial g}{\partial r} = \dfrac{\partial f}{\partial r} \\\\ ~~~~~ = \dfrac{\partial f}{\partial x} \dfrac{\partial x}{\partial r} + \dfrac{\partial f}{\partial y} \dfrac{\partial y}{\partial r} \\\\ ~~~~~ = 2 s \dfrac{\partial f}{\partial x} - 2 \dfrac{\partial f}{\partial y}$

where $x(r,s)=2rs$ and $y(r,s)=8s-2r$ .

If $r=2$ and $s=1$ , then

$x = 2\cdot2\cdot1 = 4$

$y=8\cdot1-2\cdot2 = 4$

so that

$g_r(2,1) = 2\cdot1 f_x(4,4) - 2 f_y(4,4) = 2\cdot2-2\cdot3 = \boxed{-2}$

5 0

9 months ago

Write the following proportion:<br> 8 is to 64 as 2 is to X

Andrews [41]

1 way
$\frac{8}{64} = \frac{2}{x} \\ \\ 
 \frac{8:4}{64:4} = \frac{2}{x} \\ \\ 
 \frac{2}{16} = \frac{2}{x}$ ⇔ x = 16
......................................................
2.way
$\frac{8}{64} = \frac{2}{x}$
<span>We multiply the cross
</span>
$8x = 2 * 64
8x = 128
x = 16$

3 0

2 years ago

Read 2 more answers

Write an expression of the calculation of the products of five and two and five and one

lana [24]

(5)(2)(5)(1) could be an answer

4 0

3 years ago

3x+2(x-5)=25 show your work

Zanzabum

Answer:

x = 7

Step-by-step explanation:

Expand 3x+2(x-5)=25 which looks like

3x+2x-10=25

Add similar elements: ( 3x+2x = 5x)

5x-10=25

Add 10 to both sides

5x-10+10 = 25 + 10

Simplfy

5x = 35

Divide both sides by 5

5x ÷ 5 = 35 ÷ 5

Simplfy:

x = 7

have a wonderful day

8 0

2 years ago

What does 74 divided by 8 equal

Darya [45]

8 goes into 74 nine times but there is a remainder of 2

9 and a remainder of 2 or 9 and 1/4

8 0

2 years ago

Read 2 more answers