Problema 2 (Reto) Considera que Nueva York y Londres están ubicadas a la misma latitud. Utilizando la información del radio de la tierra y lo aprendido hasta ahora, calcula distancia aproximada que separa las dos ciudades, especificando cada uno de los razonamientos seguidos en tu estrategia de solución.​

The distance between the points (9, –6) and (–4, 7) will be 13√2. Then the correct option is C.

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D² = (x - p)² + (y - q)²

The points are (9, –6) and (–4, 7). Then the distance will be

D² = (-4 - 9)² + (7 + 6)²

D² = 13² + 13²

D² = 169 + 169

D² = 338

D = √338

D = 13√2

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The simplified value of the exponential expression is 2.

Here we need to simplify the expression:

[tex]16^{1/4}[/tex]

First, you need to remember that:

[tex]\sqrt[n]{x} = x^{1/n}[/tex]

Then we can just write:

[tex]16^{1/4} = \sqrt[4]{16}[/tex]

And now, you can remember that:

2*2 = 4

Then:

2*2*2*2 = 4*4 = 16

From this, we can conclude that:

[tex]2^4 = 16\\\\\sqrt[4]{16} = 2[/tex]

So we conclude that the simplified value is 2.

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Answer:

The simplified value of the exponential expression is 2.

How to get the simplified expression?

Here we need to simplify the expression:

First, you need to remember that:

Then we can just write:

And now, you can remember that:

2*2 = 4

Then:

2*2*2*2 = 4*4 = 16

From this, we can conclude that:

So we conclude that the simplified value is 2.

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Answer:

58.5; 300; 196.5

Step-by-step explanation:

Area of triangle 1 = (1/2) * 9 * 13 = 58.5 inches^2

Area of whole figure = (1/2) * (14+26) * 15 = 300 inches ^2

Area of shaded region = 300 - 58.5 - [(1/2) * 6 * 15] = 241.5 - 45 = 196.5 inches^2

Answer:5

Step-by-step explanation:

e is the Exponential Constant or Euler's Number.

It has a value of 2.718281828...

[tex]\huge\mathfrak\colorbox{white}{}[/tex]

e to the n is given by:

[tex]\huge{e}^{n}= [\sum_{k=0}^{∞} (\frac{{n}^{k}}{k!})][/tex]

Answer:

the answer will be (A)

Step-by-step explanation:

i think the closest will be the first option..

(sorry that i made a mistake earlier)

hope it helps .. please mark brainliest ♡

Answer:

the answer is A

Step-by-step explanation:

5 - 9 round up

1 - 4 round down

Answer:

[tex]y = \frac{5}{4} x + 25[/tex]

Step-by-step explanation:

We were told that the equation of the line we are looking for is perpendicular to

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

We know that the gradient of perpendicular lines when multiplied is equal to -1, therefore

[tex] line \: .1 \times \: line \: .2 = - 1 \\ \\ \frac{4}{5} \times line \: .2 = - 1 \\ \\ line \: .2 = \frac{ - 1}{ \frac{4}{5} } [/tex]

[tex]line\: .2 = \frac{5}{4} \: \: \: \: y = 15 \: \: \: \: x = - 8 \\ \\ y = mx + c \\ \\15 = ( \frac{5}{4} ) - 8 + c \\ \\ 15 = - 10 + c \\ 15 + 10 = c[/tex]

[tex]25 = c \\ \\ therefore \: the \: equation \: of \: the \: line \: is \: \\ \\ y = \frac{5}{4} x + 25[/tex]

Problem 16

Work Shown:

[tex]2ax - 5x = 2\\\\x(2a - 5) = 2\\\\x = \frac{2}{2a-5}\\\\[/tex]

I factored out x, then divided both sides by (2a-5)

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

Problem 17

Work Shown:

1 yard = 3 feet

1/3 yard = 1 foot

x/3 yards = x feet

In the second step, I divided both sides by 3. Afterward, I multiplied both sides by x.

#16

Option C

#17

So

the following statement is true

Answer:

-6/4

Step-by-step explanation:

equivalent, that means something that is equal to so if you break -6/4 to the lowest you get -6/4

Answer:

the answer I believe will be 25.16

last option is the answer to the question

Answer:

The side b is 2√6 unit

Step-by-step explanation:

in right triangle ΔABC,∠C=900,a=5,c=7;c is

the side opposite to the right angle, so it is hypotenuse,

aandb are the adjacent sides of the right angle .

We know in right triangle ΔABC,a²+b²=c²

∴5²+b²=7²or

b²=49−25=24

∴√b²=√24

b=√24

b=2√6

. The side b is 2√6 unit [Ans]

AB = 7 cm

CB = 5 cm

AC = 2√6cm

According to Pythagoras Theorem,

AC²=BC²+AB²

(2√6)²=5²+7²

24=25+49

24=74

Hence, it is not a right-angled triangle ABC.

Answer:

Getting sum 6 when rolling two dice

Answer:

hope this will help you

[tex] \frac{180}{t} = \frac{?}{4} \\ t = 180 \times 4 \\ t = 720[/tex]

Answer:

[tex]x = 0[/tex]

[tex]y = 7[/tex]

Answer:

( x-7)^2+(y-6)^2 = 25

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

( x-7)^2+(y-6)^2 = 5^2

( x-7)^2+(y-6)^2 = 25

Answer:

(x-7)^2+(y-6)^2=25

Explanation:

If I were you, I would mark 7 as x and 6 as y. Whatever is in your parenthesis for center of the circle, do the opposite in your equation. Since you have positive 7 & positive 6, turn those into negative numbers for your equation. And for the radius, just times it two times. So 5•5=25

Work Shown:

[tex]-4(d-2) < -12\\\\-4d+8 < -12\\\\-4d < -12-8\\\\-4d < -20\\\\d > -20/(-4)\\\\d > 5[/tex]

In the second to last step, the inequality sign flips because we divided both sides by a negative number.

Answer:

Step 1: Determine the prime factors of the number under the root. Step 2: Write the prime factors in groups. Step 3: Simplify any multiplication and exponents. Step 4: Simplify the radical until no further simplification can be done.

Step-by-step Have explanation:

a great day

Answer:

$4,900

Step-by-step explanation:

[tex]\frac{\mbox{number of shares}}{\mbox{annual dividend}} = \frac{5,000}{1.04}[/tex]

This simplifies to 4807.7, which you can round to $4,900.

Answer:

3rd one

Step-by-step explanation:

Answer: A, B

Step-by-step explanation:

A and B are unique to parallel lines, C and D are not.

Answer:

Where is the picture????

Answer:

F

Step-by-step explanation:

Evaluating the expression :

4 is clearly a rational number.

Hence, the right option is F.

Answer:

No graph was provided but Ive attached my own

Step-by-step explanation:

f(x) = 3x + 4 → y = mx + b

y - intercept (b) is 4

slope (m) is 3 so the rise / run = 3 / 1

Answer:

Step-by-step explanation:

Blue triangle

a = 4x + 2

b = 5x - 4

c = 7x + 7

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

perimeter = a + b + c

4x + 2 + 5x - 4 + 7x + 7

16x + 5

Blue triangle Perimeter = 16x + 5

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

Red triangle

a = x + 3

b = x + 7

c = 2x - 5

perimeter = a + b + c

x + 3 + x + 7 + 2x - 5

4x + 5

Red triangle Perimeter = 4x + 5

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

The difference between

Larger triangle -> Blue

Smaller triangle -> Red

(16x + 5) - (4x + 5) = 12x

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

Perimeter when x = 3

Blue triangle Perimeter = 16x + 5

16*3 + 5 = 53

Red triangle Perimeter = 4x + 5

4*3 + 5 = 17

The equation of the circle of radius 4 and center at (-1, 1) is given as follows:

[tex](x + 1)^2 + (y - 1)^2 = 16[/tex]

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this problem:

Hence, the equation is given as follows:

[tex](x - (-1))^2 + (y - 1)^2 = 4^2[/tex]

[tex](x + 1)^2 + (y - 1)^2 = 16[/tex]

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