Use the definition f(a) = lim x->a f(x) - f(a)/(x-a) to find the derivative of the given function at the indicated point.2) F(x) =-8 -×2, a = 2. A.) 2 B.) -2 c.) -4 d.)4

The ball hits the ground at 0 seconds or 2.5 seconds.

h represents the height of the golf ball after x seconds. The height is given by:

h(x)=-4.8x(x-2.5)

h(x) = -4.8x² + 12x

The time taken for the ball to reach the ground is at h(x) = 0, hence:

0 = -4.8x² + 12x

4.8x² - 12x = 0

x(4.8x - 12) = 0

hence x = 0; or 4.8x - 12 = 0

x = 0; or x = 2.5

Therefore the ball hits the ground at 0 seconds or 2.5 seconds.

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Answer: i dont know

Step-by-step explanation:

Answer:

Your answer should be C

Step-by-step explanation:

Answer:

3x - 2y = -18

Step-by-step explanation:

3x - 2y = -18 and (-2, 6)

(3)(-2) - (2)(6) = -6 - 12 = -18

Answer:

5

Step-by-step explanation:

Answer:

[tex]{ \rm{ \sqrt{32} = \sqrt{2 \times 16} }} \\ \\ = { \rm{ \sqrt{2 \times 4 \times 4} }} \\ \\ = { \rm{ \sqrt{2} \times( \sqrt{4}) {}^{2} }} \\ \\ = { \rm{ \sqrt{2} \times 4 }} \\ \\ = { \rm{4 \sqrt{2} }} \\ \\ { \rm{ \sqrt{32} = 5.656854....}} \\ \\ { \boxed{ \rm{ \sqrt{32} = 5.66 \: }}}[/tex]

9514 1404 393

Answer:

  5.66

Step-by-step explanation:

For an integer x = s² +r, where s and r are also integers, a first approximation of the square root of x will be ...

  y = √x ≈ s +r/(2s+1)

An iterative improvement on the estimate can be had by ...

  y' = s + r/(s +y)

Here, this means a first estimate can be obtained as ...

  32 = 5² +7   ⇒   s = 5, r = 7

  √32 ≈ y1 = s +r/(2s +1) = 5 7/11

Then an iterative improvement will be ...

  y2 = s +r/(s +y1) = 5 +7/(10 7/11) = 5 77/117 ≈ 5.658 ≈ 5.66

_____

Additional comment

The above iterator will add about 1 decimal place for each iteration. The Babylonian method will roughly double the number of good decimal places with each iteration. For an approximate root of p/q, the next iteration using that method would be ...

  p'/q' = (x·q² +p²)/(2pq)

Then our above estimate of 5 7/11 for the root of 32 would be refined to ...

  p'/q' = (32·11² +62²)/(2·11·62) = 7716/1364 = 5 224/341 ≈ 5.65689.... This compares favorably to the first digits of the actual root: 5.65685....

Answer:

A.make calculation easier

Answer:

(√3 tan x + 1) / (√3 - tan x)

Step-by-step explanation:

[tex]tan (x+\frac{\pi }{6})\\= \frac{tan x+\frac{1}{\sqrt{3} } }{1-\frac{tan x}{\sqrt{3} } } \\= \frac{\sqrt{3} tan x + 1}{\sqrt{3} -tan x}[/tex]

Answer:

Angles FVE, FVD, and EVD have V as a vertex

Step-by-step explanation:

If V is the vertex of an angle, it's the point of that angle. So, it wants every angle you can make where V is the point of it.

Answer:

All angles in question 7 have v as a vertex

Step-by-step explanation:

Vertex just means corner, so if v is the corner in the Angle then it has v as a vertex

Answer:

he prepared for 18 plants altogether

Answer:

Density (ρ) = 20000 kilogram/cubic meter

Step-by-step explanation:

Answer:

228cm^2

Step-by-step explanation:

Multiply 18cm by 10cm:

18 x 10 = 180cm^2

So we have the area of the biggest/top part: 180cm^2

For the bottom part:

You've said the length of the bottom side is 8cm.

We know the length of the biggest side: 24cm. And we know the length of the opposite side: 18cm. So, to find the length of the missing side, it's simple subtraction:

24cm - 18cm = 6cm

So now we have lengths for 2 sides: 8cm and 6cm.

Multiply these to give the area:

8cm * 6cm = 48cm^2

Add these areas of both shapes together to give total area:

180cm^2 + 48cm^2 = 228cm^2

Answer:

69

Step-by-step explanation:

Answer:

48.3

Step-by-step explanation:

Answer: 302

Step-by-step explanation:

45 pages per hour X 4 hours = 180  pages in total

180 + 122 = 302

so 302 pages in total

'please can i have brainliest? i need it for my goal'

Answer:

4/5, 3/4, 5/7, 2/7, 1/7

Step-by-step explanation:

Answer:

I am here to help you like a hero

Step-by-step explanation:

so the order is 4/5,3/4,5/7,2/7,1/7

Congruent triangles are triangles with equal corresponding sides.

The triangles are congruent

From the question (see attachment), we have the following observations.

The above highlights mean that:

The corresponding sides are congruent by SSS theorem

Hence, your classmate's claim is incorrect.

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Answer:

where is your Question??????

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

x² = 12² + 10²

x² = 144 + 100

x² = 244

x = 2[tex]\bold{\sqrt{61}}[/tex]cm✔

Answer:

35 / 9.99 = can buy 4 rounded

paragraph: To find how many pairs of shorts we can buy, we must divide our total money with the cost. We are diving because we need to find how many times 35 can go into 9.99 to find our number. 35 / 9.99 = 3.5035035035035. Our answer must be rounded now because shorts are in whole numbers and can't be in decimals. Take the tenth place of the decimal and round it to the nearest number. 5 is closer to 10 than 0 so we just round it to 4 and there is our answer.

Answer:

y=6

Step-by-step explanation:

no slope means no X or M in y=mx+b

leaves you with y=b which is whatever y is in the cordinate (x,y)

in this case, 6

Answer:

y=6

Step-by-step explanation:

We can use point slope form

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y-6 = 0(x-0)

y-6 = 0

Add 6 to each side

y-6+6 = 0+6

y=6

Answer:

{t: 0.6 < t < 99.4}.

Step-by-step explanation:

Use one of the equations of motion under gravity.

s = ut + 0.5gt^2       where s = distance, u = initial velocity, g = acceleration due to gravity and t = the time.

So we have:

1000 = 1600t  + 0.5* -32*t^2            ( acc due to gravity is negative as we are acting against it).

16t^2 - 1600t + 1000 = 0

t =  (1660 +/- sqrt(1600^2 - 4*16*1000) / 32

This gives t = 0.629 , 99.371 seconds.

So the time is above 0.6 seconds (to the nearest tenth) and before 99.4 seconds.

4 triangles can be created with 3 points on a line.

20 triangles can be created with 6 points on a line.

30 triangles can be created with 7 points on a line.

Combination has to do with selection.

Note that a triangle has 3 vertices. If there are 4 points on a line, the number of triangles it is possible to create is derived using the combination formula shown as:

[tex]nC_r=\frac{n!}{(n-r)!r!}[/tex]

[tex]4C_3 = \frac{4!}{(4-3)!3!}\\4C_3 =\frac{4\times3!}{3!}\\4C_3=4triangles[/tex]

This means that 4 triangles can be created with 3 points on a line.

For a line with 6 points:

[tex]6C_3 = \frac{6\times 5\times 4\times 3!}{(6-3)!3!}\\6C_3 =\frac{6\times5\times 4\times3!}{3!3!}\\4C_3=20triangles[/tex]

This shows that 20 triangles can be created with 6 points on a line.

For a line with 7 points:

[tex]7C_3 = \frac{7\times 6\times 5\times 4!}{(7-3)!3!}\\4C_3 =\frac{7\times6\times 5\times4!}{4!3!}\\4C_3=30triangles[/tex]

This shows that 30 triangles can be created with 7 points on a line.

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Answer:

4500 cm²

Step-by-step explanation:

10 mm = 1 cm

So 450 × 10

= 4500 cm²

Step-by-step explanation:

One leg is x, the second leg is 2x and the hypotenuse is:

Perimeter is:

The sides are:

Answer:

1/5

Step-by-step explanation:

[tex]\lim_{x->4} \frac{x-4}{x^{2}-3x-4 } \\= \lim_{x->4} \frac{x-4}{(x+1)*(x-4) } \\\\= \lim_{x->4} \frac{1}{(x+1) } \\\\\\[/tex]

lim x->4   plug in x=4

1/(x+1) = 1/(4+1) = 1/5

Answer:

0.9

Step-by-step explanation:

absolute is the positive number

Answer:

0.9

Step-by-step explanation:

The absolute value is the distance of a number from zero, and 0.9 is 0.9 steps away from zero.