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sergey [27]
3 years ago
10

If sum of the perpendicular distances of a variable point P (x, y) from the lines x + y – 5 = 0 and 3x – 2y + 7 = 0 is always 10

. Show that P must move on a line.​
Mathematics
1 answer:
Ksivusya [100]3 years ago
3 0

Answer:

I need points!!!!!!!!

Step-by-step explanation:

EWWWWWWWWWWWWWWWWWWWWWWWWWWWWW

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Several people were polled regarding their favorite type of dessert. They were asked to choose one of the following: ice cream,
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Step-by-step explanation:

D 30 would be the answer sorry if its wrong

7 0
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Use mental math for 122+306
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306+122=428
Because you add 6 & 2 in the ones place which is 8.
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4 0
3 years ago
5 Points
deff fn [24]

Answer:

D. A rectangle and an isosceles triangle

Step-by-step explanation:

In the figure attached, the sign is shown. There we can see an arrow, which can be decomposed into a rectangle (on the left of the figure) and an isosceles triangle  (on the right of the figure)

7 0
3 years ago
Find dy du , du dx , and dy dx .
dangina [55]

Answer:

a) \frac{dy}{du}=5(x^2 +1)^4, \frac{du}{dx}=2x, \frac{dy}{dx}=10x(x^2+1)^4  

b) \frac{dy}{du}=4(4x^2-x+6)^3, \frac{du}{dx}=8x-1, \frac{dy}{dx}=4(8x-1)(4x^2-2+6)^3  

Step-by-step explanation:

We can use the chain rule in the following form: is u=u(x) is a differentiable function depending on x and y=y(u) is a differentiable function depending on u, then \frac{dy}{dx}=\frac{dy}{du} \frac{du}{dx}.

a) \frac{dy}{du}=\frac{d}{du} (u^5)=5u^4=5(x^2 +1)^4 from the power rule.  

\frac{du}{dx}=\frac{d}{dx} (x^2 +1)=2x.

From the previous parts and the chain rule, \frac{dy}{dx}=\frac{dy}{du} \frac{du}{dx}=5(x^2 +1)^4(2x)=10x(x^2+1)^4  

b) \frac{dy}{du}=\frac{d}{du} (u^4)=4u^3=4(4x^2-x+6)^3  

\frac{du}{dx}=\frac{d}{dx} (4x^2-x+6)=8x-1 from the power and sum rules.

Then, \frac{dy}{dx}=\frac{dy}{du} \frac{du}{dx}=4(4x^2 -x+6)^3(8x-1)=4(8x-1)(4x^2-x+6)^3  

8 0
3 years ago
Fractions in simplest form
wel
It depends on the fraction
5 0
3 years ago
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