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3 years ago

A parallelogram is drawn on a

Mathematics

1 answer:

mezya [45]3 years ago

6 0

Answer:

(-3 , -3)

Step-by-step explanation:

A: (-1,2), B: (1,2), and C: (-1,-3) .... D: (x,y)

slope of AB = (2-2)/(1 - -1) = 0 .... parallel to x axis

x coordinate of A is 2 units left to B (-1 vs 1)

y coordinate of C is 2 units left to B so D must be 2 units left to C: -1 -2 = -3

DC // AB , y coordinate of D = C = -3

D: (-3 , -3)

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Find the equation of the tangent of x^2- xy + y^2 =7 at (-1, 2)

Citrus2011 [14]

Answer:

It is 3y = 4x + 10

Step-by-step explanation:

Let's first get the slope of the curve.

[ slope is the derivative of the equation ]

${x}^{2} - xy + {y}^{2} = 7$

introduce dy/dx :

$\frac{d}{dx} ( {x}^{2} - xy + {y}^{2} ) = \frac{d}{dx} (7) \\ \\ 2x - (y + \frac{dy}{dx} ) + 2y \frac{dy}{dx} = 0$

make dy/dx the subject:

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

At point (-1, 2):

$\frac{dy}{dx} = \frac{2 - 2( - 1)}{2(2) - 1} \\ \\ slope = \frac{4}{3}$

but a tangent has the same slope as the curve:

$y = mx + c$

m is the slope

c is the y-intercept

At (-1, 2):

$2 = ( - 1 \times \frac{4}{3} ) + c \\ \\ c = 2 + \frac{4}{3} \\ \\ c = \frac{10}{3}$

equation:

$y = \frac{4}{3} x + \frac{10}{3} \\ \\ { \boxed{3y = 4x + 10}}$

8 0

3 years ago

Read 2 more answers

Please help me ( if you get it right i will rate you 5/5)

Lena [83]

Answer:

Step-by-step explanation:

Okay, so 8:15 to 12:00 is 225 minutes, or 3.75 hours

12:45 to 17:30 is 285 minutes, or 4.75 hours

3.75 + 4.75 = 8.5 hours (total)

She earns 14.50 dollars per hour

8.5 * 14.5 = 123.25 dollars

5 0

2 years ago

Read 2 more answers

Matthew and Courtney have 72 coins altogether. Courtney has 8 more than 3 times as many coins as Matthew. How many coins do they

yulyashka [42]

Courtney has 56. 3x+8 3(16)+8
Matthew has 16. X

X+3x+8=72
4x+8=72
Sub 8
4x= 64
Divide by 4
X=16

7 0

3 years ago

How do I sketch the graph of y=x^3-4x? Show work. Thanks!

adoni [48]

Take a look at the picture I have attached. This shows how to sketch it

7 0

3 years ago

Plz help question below

ad-work [718]

I think its plan D.
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3 years ago