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3 years ago

Simplify: 2⁴×2³× 2‐⁹

Mathematics

1 answer:

Likurg_2 [28]3 years ago

5 0

Answer:

1/4

Step-by-step explanation:

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I need the answer.Help me out

rosijanka [135]

The answer is $\boxed{7},$ where $a=5$ and $b=2.$

<em>Solution sketch:</em>

Apply the Pythagorean theorem to find $EC$ and $AE,$ which you then use to find $AD$ and $BC.$ Apply Heron's formula to $\triangle ABC$ to find that its area is 10, and then use $[ABC]=\frac{(AB)(CF)}{2}$ (base times height over 2) to finish by solving for $CF.$ .

6 0

4 years ago

Find three numbers whose sum is 6 and whose sum of squares is a minimum.

pashok25 [27]

Números que suman 6:

3 + 2 + 1 = 6=> 3^2 + 2^2 + 1^2 = 9 + 4 + 1 = 14
4 + 3 - 1 = 6 => 4^2 + 3^2 + (-1)^2 = 16 + 9 + 1 = 26 => do not use negative numbers, because that will increase the other numbers.

5 + 1 + 0 = 6 => 5^2 + 1 + 0 = 25 + 1 + 0 = 26

4 + 2 + 0 = 4^2 + 2^2 + 0 = 16 + 4 = 20

When you use zero the you increase the sum of the squares.

Then the three numbers that yields the minimum sum of the squares is 1, 2 and 3.

4 0

3 years ago

A company has a manufacturing plant that is producing quality jackets. They find that in order to produce 150 jackets in a month

Masja [62]

Answer:

$y = 14x + 3400$

Step-by-step explanation:

Represent

- number of jackets with x

- costs of jackets with y

So, we have:

$(x_1,y_1) = (150,5500)$

$(x_2,y_2) = (370,8580)$

Required

Write an equation in form of y = mx + b

First, we need to determine the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{8580 - 5500}{370 - 150}$

$m = \frac{3080}{220}$

$m = 14\\$

The equation is calculated using:

$y-y_1 = m(x - x_1)$

Where

$m = 14\\$

$(x_1,y_1) = (150,5500)$

So, we have:

$y - 5500 = 14(x - 150)$

$y - 5500 = 14x - 2100$

Make y the subject

$y = 14x - 2100 + 5500$

$y = 14x + 3400$

3 0

3 years ago

Helppppppppppppppppp

xz_007 [3.2K]

Answer:

x = 20

Step-by-step explanation:

If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

$\rm \longrightarrow \angle 2 = \angle 5 \\ \\ \rm \longrightarrow 3x - 20 = x + 20 \\ \\ \rm Add \ 20 \ both \ sides: \\ \rm \longrightarrow 3x - 20 + 20 = x + 20 + 20 \\ \\ \rm \longrightarrow 3x = x + 40 \\ \\ \rm Substrate \ x \ from \ both \ sides: \\ \rm \longrightarrow 3x - x = x - x + 40 \\ \\ \rm \longrightarrow 2x = 40 \\ \\ \rm Divide \ both \ sides \ by \ 2: \\ \rm \longrightarrow \frac{ \cancel{2}x }{ \cancel{2}} = \dfrac{40}{2} \\ \\ \rm \longrightarrow x = 20$

3 0

4 years ago

Read 2 more answers

2x + y = 7<br> this is my first day in algebra and i have no clue how to solve a literal equation

Elenna [48]

Answer:

y = 7 - 2x

Step-by-step explanation:

Step 1:

2x + y = 7 Equation

Step 2:

y = 7 - 2x Subtract 2x on both sides

Answer:

y = 7 - 2x

Hope This Helps :)

7 0

4 years ago

Simplify: 2⁴×2³× 2‐⁹​

Simplify: 2⁴×2³× 2‐⁹