A curve has equation y = f(x). (a) Write an expression for the slope of the secant line through the points P(2, f(2)) and Q(x, f(x)). x − 2 f(x) − f(2) f(2) − 2 f(x) − x f(x) − x f(2) − 2 f(x) − f(2) x − 2 (b) Write an expression for the slope of the tangent line at P. lim x→0 f(x) − f(2) x − 2 lim x→2 x − 2 f(x) − f(2) lim x→2 f(x) − f(2) x − 2 lim x→0 f(x) − x f(2) − 2

Answer:

(a) 3x+28+5x+52+2x-10=180 (∠ sum of Δ)

                          10x+70=180

                                 10x=110

                                     x=11

(b) ∠C = 2x-10

           = 2(11)-10

           =  12°

Answer:

Should be 43

Step-by-step explanation:

There are only 43 bags that actually have buttons from the 3 numbers given.

Answer:

-4 mph/sec

Step-by-step explanation:

Answer: -4 mph/s

Step-by-step explanation:

Remember the formula:

FinalVelocity = InitialVelocity + (acceleration)(time)

50 = 30 + (a)(5)

a = (30 - 50)/5

a = -4 mph/s

Punto:

Línea:

Plano:

Superficie:

El punto es una entidad que tiene una posición, pero no tiene dimensiones (largo, ancho o alto). Por lo tanto, es de dimensión cero, es decir, adimensional. Contiene el significado de lugar, de existencia, pero no tiene elementos mensurables, es decir, no se puede medir.

En contextos geométricos, una línea es un cuerpo unidimensional de forma y longitud arbitrarias. Todos los objetos unidimensionales, como cuerdas, líneas rectas, mitades y perímetros, son líneas. Se cree que una línea se forma cuando un punto de dimensión cero se mueve en el espacio y forma una línea infinita de múltiples puntos.

Intuitivamente, el concepto de plano se puede describir como una superficie perfectamente recta (es decir, sin curvatura ni cavidad) y lisa, que tiene volumen cero y ocupa solo las dos dimensiones del espacio tridimensional.

La superficie de un objeto se refiere a una superficie bidimensional, que separa el objeto de otros objetos y del entorno. En topología, la superficie es una dimensión bidimensional.

Aprenda más sobre geometría en https://brainly.com/question/4637858

Answer:

3 to the 4th power.

Step-by-step explanation:

Basically, here 3 to the 3rd power is 27. Multiplying it by 3 is only adding another power, making it 81, which is the same answer to 3 to the 4th power if that makes sense.

Answer:

i= -6

Step-by-step explanation:

-5i-15=15

if we use inverse operation here, it would be -5i=30, so i= -6

Answer:

Step-by-step explanation:

The equation for that is

[tex]x^2+3x=70[/tex]

If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.

[tex]x^2+3x-70=0[/tex]

Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:

[tex]x^2+10x-7x-70=0[/tex] and now we will factor by grouping:

[tex](x^2+10x)-(7x-70)=0[/tex] and factor out what's common:

[tex]x(x+10)-7(x+10)=0[/tex]

The factor (x + 10) is common, so we will now factor that out:

[tex](x+10)(x-7)=0[/tex]

By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7

Those are the 2 numbers that will work.

[tex](-10)^2+3(-10)=70[/tex] simplifies to

100 - 30 which does in fact equal 70. OR

[tex](7)^2+3(7)=70[/tex] which simplifies to

49 + 21 which also equals 70.

So you're done!

The values of the unknown number is 7 or - 10

The given expression from words to algebra;

let the unknown number = n

the square of the number = n²

three times the number = 3n

n² + 3n = 70

To find:

The values of n is calculated as follows;

[tex]n^2 + 3n = 70\\\\n^2 + 3n - 70 = 0\\\\factorize \ the \ equation;\\\\n^2 + 10n - 7n - 70 = 0\\\\n(n + 10) - 7(n + 10) = 0\\\\(n-7)(n+ 10) = 0\\\\n = 7 \ or \ - 10[/tex]

Thus, the values of the unknown number is 7 or - 10

Learn more here: https://brainly.com/question/16889590

Answer:

Q1: She can write names of each Student on separate Papers and choose one Randomly, the Result may be 5:3 Girls to Boys

Q2: 75/100

Answer:

the answer of decimal is 331.82

Answer:

you are 100% correct (^_^)

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

7+12x+2y

Step-by-step explanation:

3-8+(12x + 12)+2y=

-5+(12x +12)+2y=

7+12x+2y

Answer:

Simplified, your answer should be 12x + 2y + 7

Step-by-step explanation:

Hope this helps! :)

Have a nice day! ♥

Answer:

8 apples for 9.25

Step-by-step explanation:

because 6.25 divided by 5 is 1.25, making each apple $1.25. and 9.25 divided by 8 is rounded to 1.16, making each apple cost $1.16.

Answer:

y = 32

Step-by-step explanation:

[tex]\frac{1}{2} y + 22 = 38[/tex]

Subtract 22 from both sides to isolate the y variable.

[tex]\frac{1}{2} y = 16[/tex]

Divide both sides by [tex]\frac{1}{2}[/tex], which is the same as multiplying by 2.

y = 32

1/2y + 22 = 38

         -22    -22

1/2y = 16

x2      x2   ---> This is because if 1/2y = 26, that means y times 1/2 is 26, but we                  want to know what y times 1 is because y times 1 is equal to y so we multiply by 2 because 1/2 times 2 equals 1.

y = 32

Answer:

x = 2.4/20= 0.12

Step-by-step explanation:

Multiply both sides by 4 to eliminate the fraction 1/4:

1      20

--- = ------

x      2.4

Next, we cross-multiply.  This eliminates the fractions:

20x = 2.4

Dividing both sides by 20 results in an equation for x:  x = 2.4/20= 0.12

Answer:

Formula Bh x 1/2, so 26.56 is your answer

Multiply 8.3 x 6.4 to get 53.12 then divide it by 2 which is 26.56

Answer:

26.56

Step-by-step explanation:

Answer:

the first one is 6 ,9, 13.5

Step-by-step explanation:

Answer:

X     Y    

0     -1

2     -0.5

4     0

6     0.5

8     1

Step-by-step explanation:

I hope i got that right

=====================================================

Work Shown:

Applying the tangent-secant theorem will allow us to solve for x

x*(x+5) = (x+2)^2

x^2+5x = (x+2)*(x+2)

x^2+5x = x^2+4x+4

5x = 4x + 4 ..... subtracting x^2 from both sides; terms cancel

5x-4x = 4

x = 4

------------------

Check:

Plug in x = 4

x*(x+5) = (x+2)^2

4*(4+5) = (4+2)^2

4*(9) = (6)^2

36 = 36

The answer is confirmed.

Answer: 22

Step-by-step explanation:

Answer:

( 2.5 , 4.5 )

Step-by-step explanation:

Answer:

ramon is the shortest

ryan is the tallest

carmen is taller than ramon

carmen is shorter than ricardo

carmen is shorter than ryan

ryan is taller than ricardo

Answer:

$51.36

Step-by-step explanation:

Step-by-step explanation:

Answer:

A.) The reaper separated cotton fibers from cotton seed much faster than the manual

method used earlier.

B.) The reaper made it possible to communicate very quickly across a wire.

C.) The reaper replaced the old method of sewing clothes by hand.

D.) The reaper could cut grain much faster than the older method of harvesting by hand

with a scythe.Step-by-step explanation:

Answer:

15 days

Step-by-step explanation:

Answer:

15 days

Step-by-step explanation:

as

12×5/4

=15

hope it helps you