Ask question

Ask question

All categories

VashaNatasha [74]

3 years ago

13

Review the following derivation of the tangent double angle identity the steps are not listed in the correct order what is the c

orrect order of the steps used to derive the identity?
a. 4,3,5,1,2
b. 4,5,3,1,2
c. 3,4,5,1,2
d, 3,4,1,5,2

2 answers:

Annette [7]3 years ago

4 0

Answer:

A. 4,3,5,1,2

Step-by-step explanation:

Edge 2021

makkiz [27]3 years ago

3 0

Answer:

its A) 4, 3, 5, 1, 2

Step-by-step explanation:

took the test

You might be interested in

A sum of $104 is divided among three friends Adam, Charlie and Max in the ratio

zubka84 [21]

Answer:

$ 24

Step-by-step explanation:

Ratio = 3 : 4 : 6

Amount with Adam = 3x

Amount with Charlie = 4x

Amount with Max = 6x

Total amount = $104

3x + 4 x + 6x = 104

13x = 104

x = 104/13

x = 8

Amount with Max = 6x = 6*8 = $ 48

Amount with Adam = 3x = 3 *8 = $ 24

Amount that is more with Max than Adam = 48 - 24 = $ 24

4 0

3 years ago

Read 2 more answers

Which rule describes the relationship between the x- and y- coordinates on following graph?

hram777 [196]

Answer : B
The dot where the y- axis is 2 and x-axis is 0 would be your y-intercept . For the other 2 dots with planes (3,8) and (2,6) you would do rise over run and connect them. Go down 2 and left 1 so they meet and divide. Once you divide 2 by 1 you get 2 so your equation would be y=2x+2 a.k.a B

Answer: B

7 0

3 years ago

Read 2 more answers

Write an equation for the graph below, which represents an exponential function f with base 2 or 3, translated and/or reflect

evablogger [386]

Answer:

$f(x) = 2*2^x + 3$

Step-by-step explanation:

The model for an exponencial function is:

$f(x) = a*b^x + c$

'c' is the value of the asymptote, so we have c = 3.

To find the value of 'a', let's use the point (0,5):

$5 = a*b^0 + 3$

$5 = a*1 + 3$

$a = 2$

Now, to find the value of 'b', let's use the point (1, 7):

$7 = 2 * b^1 + 3$

$7 = 2b + 3$

$2b = 4$

$b = 2$

So our function is:

$f(x) = 2*2^x + 3$

Let's check if the point (-1, 4) is inside our function:

$4 = 2 * 2^{-1} + 3$

$4 = 1 + 3$

$4 = 4\ (correct)$

6 0

3 years ago

What is the surface area of the triangular prism?

Fofino [41]

Answer:

116.33

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through (-2,3) and is parallel to 2x+3y=6?

Vsevolod [243]

Answer:

<h2>2x + 3y = 5</h2>

Step-by-step explanation:

$\bold{METHOD\ 1:}$

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

Let $k:y=m_1x+b_1,\ l:y=m_2x+b_2$

then

$l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}$

We have the equation of a line:

$2x+3y=6$

Convert to the slope-intercept form:

$2x+3y=6$ <em>subtract 2x from both sides</em>

$3y=-2x+6$ <em>divide both sides by 3</em>

$y=-\dfrac{2}{3}x+2\to m_1=-\dfrac{2}{3}$

therefore the slope is $m_2=-\dfrac{2}{3}$

Put the value of the slope and the coordinates of the point (-2, 3) to the equation of a line:

$3=-\dfrac{2}{3}(-2)+b$

$3=\dfrac{4}{3}+b$ <em>subtract 4/3 from both sides</em>

$\dfrac{9}{3}-\dfrac{4}{3}=b\to b=\dfrac{5}{3}$

Finally:

$y=-\dfrac{2}{3}x+\dfrac{5}{3}$

Convert to the standard form (Ax + By = C):

$y=-\dfrac{2}{3}x+\dfrac{5}{3}$ <em>multiply both sides by 3</em>

$3y=-2x+5$ <em>add 2x to both sides</em>

$2x+3y=5$

$\bold{METHOD\ 2:}$

Let $k:A_1x+B_1y=C_1,\ l:A_2x+B_2y=C_2$ .

Lines <em>k</em> and <em>l</em> are parallel iff

$A_1=A_2\ \wedge\ B_1=B_2\to\dfrac{A_2}{A_1}=\dfrac{B_2}{B_1}$

We have the equation:

$2x+3y=6\to A_1=2,\ B_1=3$

then the equation of a line parallel to given lines has the equation:

$2x+3y=C$

Put the coordinates of the point (-2, 3) to the equation:

$C=2(-2)+3(3)\\\\C=-4+9\\\\C=5$

Finally:

$2x+3y=5$

4 0

3 years ago