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belka [17]
3 years ago
14

Please answer asap, thanks!

Mathematics
1 answer:
Bad White [126]3 years ago
8 0

(So sorry I answered late, btw.. I got this from the web)

Answer:

Step-by-step explanation:

Given that In the coordinate plane line p had slope 8 and y intercept (0,5).

Hence equation of line p is

y = 8x+5 (slope intercept form)

When we dilate p by a factor of 3, we have

we find that slope would remain the same but the y intercept would become 3 times.

Hence new line would be

y = 8x+15

Slope = 8 and y intercept = 15

This line will be parallel to original line.

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The ratio of angles angles A:B:C is 5:4:3 . find measure of angle A and B And C
mr Goodwill [35]

Answer:

A=75

B=60

C=45

Step-by-step explanation:

5+4+3=12

every triangle is equal to 180 so we divide

180/12=15

then we multiply each angle by 15

5*15

4*15

and 3*15

don't forget to check your work by adding the answers together to get 180

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saul85 [17]

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7 0
4 years ago
Read 2 more answers
Determine the open t-intervals on which the curve is concave downward or concave upward. (Enter your answer using interval notat
Rashid [163]

Solution :

We have been given a parametric curve :

x = sin t , y = cos t , 0 < t < π

In order to determine concavity of the given parametric curve, we need to evaluate its second derivative first.

Therefore,

$\frac{dx}{dt} = \cos t, \ \frac{dy}{dt}= - \sin t$

$\therefore \frac{dy}{dx}= \frac{- \sin t}{\cos t}$

        $=- \tan t$

Taking double derivatives of the above equation:

$\frac{d^2y}{dx^2}= - \frac{d}{dx}(\tan t) $

      $= - \sec^2 t \frac{dt}{dx}$

     $= - \sec^2 t \left(\frac{1}{\cos t}\right)$

    $= - \sec^3 t$

For the concave up, we have

$\frac{d^2y}{dx^2} > 0$

$\Rightarrow - \sec^3 t > 0$

∴ $t \  \epsilon \left( \frac{\pi }{2}, \pi \right)$

For the concave down, we have

$\frac{d^2y}{dx^2} < 0$

$\Rightarrow - \sec^3 t < 0$

$t \  \epsilon \left( 0,\frac{\pi }{2} \right)$

8 0
3 years ago
Is parallelogram VWXY a rhombus?
skelet666 [1.2K]

Answer:

it is a a rhombus......... parallelogram is also called as a rhombus....

3 0
3 years ago
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