How is slope formula and point-slope formula related

Mathematics

1 answer:

yarga [219]3 years ago

4 0

Step-by-step explanation:

$\text{The point-slope formula of an equation of a line:}\\\\y-y_1=m(x-x_1)\\\\m-slope\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

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Solve 10 ^(2x+9)=290 Express in terms of natura logarithms

GenaCL600 [577]

Use following log property:
$ln( a^n) = n ln (a)$

Take log of both sides
$ln (10^{2x+9}) = ln (290) \\ \\ (2x+9) ln (10) = ln (290)$

Distribute left side, isolate 'x'
$2 ln (10) x + 9 ln(10) = ln (290) \\ \\ x = \frac{ln (290) - 9 ln(10)}{2 ln(10)}$

3 0

4 years ago

Plz help in a rush!!!!!!!!!!

Bogdan [553]

Your answer is 4.7

Using the Pythagorean Theorem, you can find the length of the missing side:

$a^{2}+b^{2}=c^{2}\\(3)^{2}+b^{2}=(5.6)^{2}\\9+b^{2}=31.36\\b^{2}=22.36\\b=\pm \sqrt{22.36}$
Length cannot be negative, so your answer is:
$b=\sqrt{22.36}=4.728636...\\\\b=4.7$