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2 years ago

Help please I’m having trouble with this problem

Mathematics

2 answers:

seraphim [82]2 years ago

4 0

<u>Answer</u>:

$\sf length = 8b+2$

<u>Explanation</u>:

area of rectangle = length * width

<u>Given:</u>

Area: 64b² - 4

Width: 64b² - 4

<u>using the formula</u>:

$\hookrightarrow \sf 64b^2 - 4 = length * (8b - 2)$

$\hookrightarrow \sf \dfrac{64b^2 - 4 }{(8b - 2)} = length$

$\hookrightarrow \sf length = 8b+2$

german2 years ago

3 0

Answer: L= 90-3 i hope this helps u :)

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3 years ago

How do I solve for x here? Use the properties of logarithms to find a value for x. Assume a,b, and M are constants.

Leona [35]

Yes, you're right! The first step is rewriting the equation as

$\ln(a) + \ln(b^x) = M$

Subtract $\ln(a)$ from both sides:

$\ln(b^x) = M-\ln(a)$

Use the property $\ln(a^b) = b\ln(a)$ to rewrite the equation as

$x\ln(b) = M-\ln(a)$

Divide both sides by $\ln(b)$

$x = \dfrac{M-\ln(a)}{\ln(b)}$

Alternative strategy:

Consider both sides as exponents of e:

$e^{\ln(ab^x)} = e^M$

Use $e^{\ln(x)} = x$ to write

$ab^x = e^M$

Divide both sides by a:

$b^x = \dfrac{e^M}{a}$

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7 0

3 years ago

calculate the distance between the points E=(-1,-5) and F=(-8,1) in the coordinate plane. Give an exact answer (not a decimal ap

Elena L [17]

Answer:

The answer is

<h2> $\sqrt{85} \: \: \: \: units$ </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

E(-1,-5) and F(-8,1)

The distance between them is

$|EF| = \sqrt{ ({ - 1 + 8})^{2} + ({ - 5 - 1})^{2} } \\ = \sqrt{ {7}^{2} + ({ - 6})^{2} } \\ = \sqrt{49 + 36} \: \: \: \: \: \: \: \\ = \sqrt{85} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

We have the final answer as

$\sqrt{85} \: \: \: \: units$

Hope this helps you

7 0

4 years ago