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3 years ago

Find the derivative of the function y = sin(tan 4x)

1 answer:

4 0

$\bf y=sin[tan(4x)]\implies \cfrac{dy}{dx}=\stackrel{chain~rule}{cos[tan(4x)]\cdot sec^2(4x)\cdot 4}
\\\\\\
\cfrac{dy}{dx}=4cos[tan(4x)]sec^2(4x)$

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Which is the solution to the equation 3.5(2h+4.5)=57.75? round to the nearest tenth if necessary.

Rufina [12.5K]

Answer:

you would distribute 3.5 to 2 and 4.5 and get 7h+15.75=57.75 subtract the 15.75 and get 7h= 42 which makes h=6

6 0

4 years ago

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What do you need to show to prove two triangles are similar by SAS Similarity Theorem?

Sidana [21]

Two triangles are similar by SAS similarity if they have two sides in the same ratio and the angles between those sides in both triangles are equal.

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3 years ago

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If a rectangle has an area of 2x^2+7x+3 find the perimeter

nikdorinn [45]

Perimeter of a rectangle = 6x + 8

Solution:

Given area of a rectangle = $2x^2+7x+3$

Let us first factor the given polynomial.

$2x^2+7x+3=2x^2+x+6x+3$

$=(2x^2+x)+(6x+3)$

Taking out common terms in the above expression

$=x(2x+1)+3(2x+1)$

Taking out common term $2x+1$ in the above expression

$=(2x+1)(x+3)$

$2x^2+7x+3=(2x+1)(x+3)$

Area of a rectangle = l × b

Therefore, $l=2x+1$ and $b=x+3$

Perimeter of a rectangle = 2(l + b)

$=2[(2x+1)+(x+3)]$

$=2(2x+1+x+3)$

$=2(3x+4)$

$=6x+8$

The answer is same if you take <em>l</em> = x + 3 and <em>b</em> = 2x + 1.

Hence, perimeter of a rectangle = 6x + 8.

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3 years ago

CAN YOU HELP WITH THIS ONE QUESTION , JUST TRYING TO GET BACK ON HONOR ROLL !

Ivanshal [37]

Answer:

B. TRUE.

(3, 2) is the intersection point of the graphs of

x + y = 5 and x - y = 1.

Step-by-step explanation:

Option B is TRUE because intersection point should satisfy both the equation

and in option be it comes true.

i.e x = 3 and y = 2 we have

3 + 2 = 5 and 3 - 2 = 1

5 = 5 and 1 = 1

Hence TRUE

(3, 2) is the intersection point of the graphs of

3x + 2y = 5 and 3x - 2y = 1.

i.e x = 3 and y = 2 we have

3×3 + 2×2 = 5 and 3×3 - 2×2 = 1

13 ≠ 5 and 5 ≠ 1

Hence FALSE

(5, 1) is the intersection point of the graphs of

3x + 2y = 5 and 3x - 2y = 1.

i.e x = 5 and y = 1 we have

3×5 + 2×3 = 5 and 3×5 - 2×3 = 1

21 ≠ 5 and 9 ≠ 1

Hence FALSE

(5, 1) is the intersection point of the graphs of

x + y = 5 and x - y = 1.

i.e x = 5 and y = 1 we have

5 + 1 = 5 and 5 - 1 = 1

6 ≠ 5 and 4 ≠ 1

Hence FALSE

6 0

3 years ago

The ratio of dogs to cats at a local animal shelter is 3 to 2. If there are 14 cats at the shelter how many dogs are there?

adelina 88 [10]

Answer: 21 dogs

Step-by-step explanation:

We can set up a ratio.

Let x be the number of dogs.

$\frac{3 dogs}{2 cats} = \frac{x dogs}{14 cats}$

We can cross multiply.

42 = 2x dogs

Therefore, there are 21 dogs

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3 years ago

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