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astraxan [27]
1 year ago
13

Derive this with respect to x

Formula1" title=" \frac{3}{(1 + secx) } " alt=" \frac{3}{(1 + secx) } " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Elenna [48]1 year ago
8 0

~~~~\dfrac{d}{dx} \left(\dfrac{3}{1 + \sec x} \right)\\\\\\=3 \dfrac{d}{dx} \left( \dfrac 1{ 1+ \sec x} \right)\\\\\\=3 \dfrac{d}{dx} (1+ \sec x)^{-1}\\\\\\=3 (-1) (1 + \sec x )^{-1 -1} \dfrac{d}{dx}( 1 + \sec x)\\\\\\=-3(1 + \sec x)^{-2}  ( 0 + \sec x  \tan x)\\\\\\=-\dfrac{3\sec x \tan x}{(1 + \sec x)^2}

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Solve the following system of equations by substitution<br> 2x – 3y = -1<br> y = x - 1
Aliun [14]

Answer:

(4, 3)

Step-by-step explanation:

Plug in x - 1 where y is. The equation will turn in 2x - 3(x - 1) = -1. Distribute, and you'll have 2x -3x + 3 = -1. Combine like terms (2x and -3x) and you'll have -x + 3 = -1. Subtract 3 from both sides, and you'll have -x = -4. Divide by -x (or -1) on both sides, and you'll have x = 4. Since y = x - 1, y = 3, since 4 - 1 = 3. Sorry if this sounds repetitive btw. Good luck :D

7 0
3 years ago
Two angels are supplementary. The measure of the large angle is four more than three times the measure of the small angle. Find
sashaice [31]

Answer:

The measure of the two supplementary angles is

Small angle = x = 44°

Large angle = y = 136

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180° .

Let

Small angle = x

Large angle = y

x + y = 180°.... Equation 1

The measure of the large angle is four more than three times the measure of the small angle

Hence: y = 4 + 3x

We substitute 4 + 3x for y in Equation 1

x + 4 + 3x = 180°

4x + 4 = 180°

4x = 180° - 4

4x = 176

x = 176/4

x = 44°

Solve for y

y = 4 + 3x

y = 4 + 3(44)

y = 4 + 132

y = 136°

Therefore, the measure of the two supplementary angles is

Small angle = x = 44°

Large angle = y = 136

5 0
3 years ago
You have 16 yellow beads, 20 red beads, and 24 orange beads to make identical bracelets. what is the greatest number of bracelet
Korvikt [17]

Answer:

We can make maximum 16 bracelets .

#$# THANK YOU #$#

8 0
3 years ago
Read 2 more answers
PLSSS ANSWER, 35 pointss
xxTIMURxx [149]

Answer:

1.

(y - 5)(x + y)

2.

{(x - y)}(x - y   + a)

3.

(b - 3)(5b - 17)

Step-by-step explanation:

1. The given polynomial is

x(y - 5) - y(5 - y)

We need to factor the second part to get:

x(y - 5)  +  y(y - 5)

We factor y-5 to obtain:

(y - 5)(x + y)

2. We have

{(x - y)}^{2}  - a(y - x)

We again factor -1 from the second part to get:

{(x - y)}^{2} +  a(x- y)

We now factor x-y to get:

{(x - y)}^{2}   + a(x- y)

{(x - y)}(x - y   + a)

3. We have

2(3 - b) + 5 {(b - 3})^{2}

We factor negative 1 from the first part to get

- 2(b - 3) + 5 {(b - 3})^{2}

We now factor b-3 to get:

(b - 3)( - 2 + 5(b - 3))

We now simplify to get:

(b - 3)( - 2 + 5b - 15) = (b - 3)(5b - 17)

4 0
3 years ago
HELP PLS!!!!!!!!!!!!!!!!!!!
Rama09 [41]
Domain: {-5, 7}
Range: {-9, 4, 8}
6 0
2 years ago
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