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Dafna1 [17]
3 years ago
12

Please help (picture) its due in an hour

Mathematics
2 answers:
Fofino [41]3 years ago
6 0

Answer:

a) \:  \: 6x - 8

b) \:    \: - 18 {x}^{2}  + 15

c) \:  \:  {x}^{4}  + 2  {x}^{3}  + 7 {x}^{2}

Step-by-step explanation:

a) \:  \: 2(3x−4) \\ 2(3x)+2(−4) \\ 6x+2(−4) \\ 6x−8

b) \:  \: −3(6 {x}^{2} −5) \\ −3(6 {x}^{2} )−3( - 5) \\  - 18 {x}^{2}  - 3( - 5) \\  - 18 {x}^{2}  + 15

c) \:  \:  {x}^{2} ( {x}^{2}   + 2x + 7) \\  {x}^{2}   {x}^{2}  +  {x}^{2} (2x) +  {x}^{2}  \times 7 \\  {x}^{4}  + 2 {x}^{2} x + 7 \times  {x}^{2}  \\  {x}^{4}  + 2  {x}^{3}  + 7 {x}^{2}

<h3>Hope it is helpful....</h3>
Tresset [83]3 years ago
5 0

Answer:

a) 6x-8

b) -18x^2-15

c) x^4+2x^3+7x^2

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The curve given by x=sin(t),y=sin(t+sin(t)) has two tangent lines at the point (x,y)=(0,0). List both of them in order of increa
SOVA2 [1]

Answer:

y = 0

y =2x

Step-by-step explanation:

Given parametric equations:

x (t) = sin (t)

y (t) = sin (t + sin (t))

The slope of the curve at any given point is given by dy / dx we will use chain rule to find dy / dx

(dy / dx) * (dx / dt) = (dy / dt)

(dy / dx) = (dy / dt) / (dx / dt)

Evaluate dx / dt and dy / dt

dx / dt = cos (t)

dy / dt = cos (t + sin (t)) * (1+cos (t))

Hence,

dy / dx = (1+cos(t))*cos(t + sin (t))) / cos (t)

@Given point (x,y) = 0 we evaluate t

0 = sin (t)

t = 0 , pi

Input two values of t and compute dy / dx

@ t = 0

dy / dx = (1 + cos (0))*cos (0 + sin (0))) / cos (0)

dy / dx = (1+1)*(1) / (1) = 2 @ t = 0

@t = pi

dy / dx = ( 1 + cos (pi))* cos (pi + sin (pi)) / cos (pi)

dy / dx = (1-1) * (-1) / (-1) = 0 @ t = pi

The corresponding gradients are 0 and 2 in increasing order and their respective equations are:

y = 2x

y = 0

5 0
2 years ago
How do you write -x+3y=6 in slope intercept form?
Afina-wow [57]

Commenter jdoe said it right: solve for y and leave the rest on the other side.

-x + 3y = 6

3y = 6 + x add x on both sides

3y = x + 6 rearrange to get the x first

y = (x + 6) /3 divide both sides by 3

y = x/3 + 6/3 split the numerator (caution - never split denominators)

y = x/3 + 2 simplify 6/3


Thus the line in slope intercept form of y = mx + b is y = y = \frac{1}{3} x + 2


8 0
3 years ago
Read 2 more answers
The dimensions of a rectangle can be given by x+9 and x-2. If the area is 60ft^2, what is the value of X?
Veronika [31]

Answer:

6

Step-by-step explanation:

(x + 9) * (x - 2) = 60

x^2 - 2x + 9x - 18 = 60

x^2 + 7x - 18 = 60

x^2 + 7x = 78

FACTORING:

x(x + 7) = 78

x = 6

6 0
3 years ago
5. Write equations in slope-intercept form for three different lines that intersect at (–2, 3). Show your work.
bixtya [17]

Answer:

Equations in slope-intercept form for three different lines that intersect at (–2, 3) are y=-x+1  ,  y=3  and y=x+5

Step-by-step explanation:

General equation of slope intercept form : y-y_1=m(x-x_1)

We are supposed to find equations in slope-intercept form for three different lines that intersect at (–2, 3).

(x_1,y_1)=(-2,3)

Substitute the value in the general equation

y-3=m(x+2)

Now substitute any 3 values of m

At m = -1

\Rightarrow y-3=-x-2 \\\Rightarrow y=-x+1

At m =0

\Rightarrow y-3=0 \\\Rightarrow y=3

At m =1

\Rightarrow y-3=x+2 \\\Rightarrow y=x+5

They all intersect at the given point.

So, equations in slope-intercept form for three different lines that intersect at (–2, 3) are y=-x+1  ,  y=3  and y=x+5

3 0
3 years ago
A cellphone tower is located 700 feet from an office building. When looking out the window of the office, the angle of elevation
sveticcg [70]
By creating two right triangles (one for depression and one for elevation) and by using 700 as the adjacent side, you can use tangents to find the opposite sides and add them together. 

Tan(45) = opposite side/700 or 700tan(45) = opposite side (elevation). 

This of course equals 700. 

Then do the same for the depression. 

Tan(32) = opposite side/700 or 700tan(32) = opposite side (elevation). 

Which equals 437.4. 

Adding the two together and you get the height of the cell tower at 1137.4ft
3 0
3 years ago
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