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

2√5 exact form

4.47213595 decimal form

4. A: y= 2x + 6

B: y= x + 9

5. (3,12)

6. C: a pizza with 3 toppings will equal $12 at either restaurant

Answer:

9

Step-by-step explanation:

the given expression can be re-written:

[tex]\frac{\sqrt{2} -1}{(\sqrt{2}-1)(\sqrt{2}+1)} +\frac{\sqrt{3} -\sqrt{2}}{(\sqrt{3} +\sqrt{2})(\sqrt{3} -\sqrt{2})} + ...+\frac{\sqrt{100} -\sqrt{99}}{(\sqrt{100} -\sqrt{99})(\sqrt{100} +\sqrt{99})};[/tex]

then

[tex]\sqrt{2} -1+\sqrt{3} -\sqrt{2} +\sqrt{4} -\sqrt{3}+\sqrt{5} -\sqrt{4}+...+\sqrt{100}-\sqrt{99}= -1+\sqrt{100}=9.[/tex]

Answer:

$7.78

Step-by-step explanation:

140/18 = 7.78

Step-by-step explanation:

The area = 3 × 3 = 9

The perimeter = 2(3 +3) = 12

please give me a brainliest answer

Answer:

A= a^2, which is 9.

P= 4a, which is 12.

Answer:

1. reflection over y axis

2. dilation over the origin with scale factor of 3

Step-by-step explanation:

1. reflection about y axis

2. dilation over the origin (0,0) with scale factor of 3

Answer:

Your answer is 28/9 or the last one.

Step-by-step explanation:

28/9 = 3.111111111111.......

Step-by-step explanation:

Do like this only with no. mark me as brainliest answer

Answer:

Weight in Grams of:

Water     Cooking Oil

5,000 g    4,400 g

Step-by-step explanation:

Hope this helps

Answer:

903 offices

Step-by-step explanation:

Total number of officers in the sky scraper

= 26 + 31 + [(49-2)×18]

= 26 + 31 + 846

= 903 offices

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]

can be rewritten as

[tex]\rm \:  =  \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]

And

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]

So, using this identity, we

[tex]\rm \:  =  \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{25 - 1} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{24} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{6} [/tex]

Hence,

[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]

Answer:

GAP but if not that AGP

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the order of corresponding vertices.

Q and G, D and A, J and P are corresponding considering the marks on the lines.

Answer:

1: First, keep the first number (known as the minuend) 2 .Second, change the operation from subtraction to addition

2. Third, get the opposite sign of the second number (known as the subtrahend)

4: finally, proceed with the regular addition of integers

Step-by-step explanation:

Example: 1: (6-(-4)

6+4=10

(10)

2: (-1-(-9)

-1+9=8

(8)

Step-by-step explanation:

maybe this is not the full expression, as you wrote the line equation in a funny way.

I understand the following :

the line is

y = (-2/5)×x - 7

perpendicular means crossing at a right angle (90 degrees).

the slope of the original line is -2/5.

as in every line equation, the slope is the factor of x. and it expresses the ratio y/x indicating the amount of units y is changing, when x changes a certain amount of units (e.g. when going from one point on the line to another).

the perpendicular slope turns the original y/x ratio upside-down, and also flips the sign.

so, it is 5/2.

the equation for the perpendicular line looks like

y = (5/2)×x + b

now what is b ?

for this we use the specified point on the line : (4, -1)

and we put these values as x and y into the equation :

-1 = (5/2)×4 + b = 5×2 + b = 10 + b

b = -11

and so, the full equation of the perpendicular line is

y = (5/2)×x - 11

Answer:

We can use the Laws of Exponent to rewrite both sides of the equation:

Let a¹² x a⁴ = a⁸ x a⁸

⇒        a¹²⁺⁴ = a⁸⁺⁸

             a¹⁶ = a¹⁶  ✅

⇒  a¹² x a⁴ = a⁸ x a⁸ is true for all values of a.

Explanation:

The equation a¹² x a⁴ = a⁸ x a⁸ is true because, on both the RHS and LHS of the equation, both terms in 'a' have exponents that when added (Law of Multiplication of Exponents) are equal to each other, i.e. 12+4 = 8 + 8.

Answer:

The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2

I dont know the exact positions to put the lengths, but tell me if this helps!

Answer:

option d

hope it will help u

Answer:

I think its 2 gallons I'm soooo sorry i got it wrong

Answer:

10

8+40÷20=8+2=10

,.,.......

The area of a rectangle is the product of its dimensions

The dimensions of the rectangle are: [tex]\mathbf{Length = a -5}[/tex] and [tex]\mathbf{Width = a^2 + 5a + 25}[/tex]

The area is given as:

[tex]\mathbf{Area = a^3 - 125}[/tex]

Express 125 as 5^3

[tex]\mathbf{Area = a^3 - 5^3}[/tex]

Apply difference of cubes

[tex]\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}[/tex]

[tex]\mathbf{Area = (a - 5)(a^2 + 5a + 25)}[/tex]

The area of a rectangle is:

[tex]\mathbf{Area = Length \times Width}[/tex]

So, by comparison:

[tex]\mathbf{Length = a -5}[/tex]

[tex]\mathbf{Width = a^2 + 5a + 25}[/tex]

Read more about areas at:

https://brainly.com/question/3518080

Answer:

Hope my answer helps you mark me brianliest plz

Step-by-step explanation:

d =√(x2-x1)+(y2-y1)

Answer:

scalene right

isosceles obtuse

equilateral equilateral

scalene acute

Answer:

m=-2/-1 or m=-2

Step-by-step explanation:

Find two points on the line, then use this formula:  m=rise/run  or m=y2-y1/x2-x1

m=0- 2/-3-(-2)

m=-2/-1 or m=-2

Answer:

Write in slope-intercept form, [tex]y=mx+b[/tex].

5. [tex]y=2x+7[/tex]

6. [tex]y=-\frac{5}{3} x+4[/tex]

7. [tex]y=x-1[/tex]

8. [tex]y=\frac{1}{3}x +5[/tex]

9. [tex]y=\frac{4}{5}x -2[/tex]

10. [tex]y=-\frac{7}{3}x + 6[/tex]

Answer:

the answer would be:

g(X)

and

m(X)

Step-by-step explanation:

make me as Brainliest sorry if I am wrong

Answer:

3/8

Step-by-step explanation:

you can't split 3 in half to get a whole number, so you need to make it a different fraction with the same meaning to make it possible to divide by 2.

6/8 is the same as 3/4

divide by two to get 3/8  Don't divide the bottom number, just the top.

3/8 pages in one minute.

Hope this helps!

Answer:

I think it's

Step-by-step explanation:

b.y=1.5

it can be right or wrong:/