For what value of x does 84^3x=512^2x+12

Mathematics

1 answer:

stealth61 [152]3 years ago

7 0

2.193 X 10^-5

this is the answer

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What is the exact distance from (–1, 4) to (6, –2)? (4 points) units units units units

irina1246 [14]

Answer:

$\sqrt{85}$

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (6, - 2)

d = $\sqrt{(6+1)^2+(-2-4)^2}$

= $\sqrt{7^2+(-6)^2}$

= $\sqrt{49+36}$

= $\sqrt{85}$ ← exact distance

4 0

3 years ago

Find the side length x. Round your answer to the nearest hundredth.

Alchen [17]

Side length-80

So we know that for a Right Angle, both sides have to measure up to 90 degrees. If one side is 10, and both sides need to add up to 90, then we can take 10 away from 90. That would be 80. 80 + 10 = 90. So the missing side length is 80.

-DustinBR

3 0

3 years ago

A 2-column table has 4 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1. The second column is label

JulijaS [17]

The growth factor of the exponential function represented by the table is 5.

The correct option is c.

<h3>What is the growth factor of the exponential function?</h3>

The growth factor of the exponential function is the ratio of the two consecutive terms (y-values).

The growth factor of the exponential function is given by;

$\rm Growth\ factor=\dfrac{y(x_2)}{y(x_1)}\\\\$

As per given, we have a table;

x y

-2 0.004

-1 0.02

0 0.1

1 0.5

The value $\rm x_2$ is -2 and $\rm x_1$ is -1.

Therefore,

the growth factor of the exponential function represented by the table would be :

$\rm Growth\ factor=\dfrac{y(x_2)}{y(x_1)}\\\ \rm Growth\ factor=\dfrac{y(-1)}{y(-2)}\\\\\rm Growth\ factor=\dfrac{0.02}{0.004}\\\\ \rm Growth\ factor=5$