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3 years ago

How do I solve this?

Mathematics

1 answer:

e-lub [12.9K]3 years ago

6 0

First find the angle of WVZ

$(5x+12)+(2x-3)=90\\\\7x+9=90\\x=81/7\\$

Plug that into (2x-3) to get the angle WVZ:

$\frac{2x81}{7} = 23.14$

That should be your answer

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Find all zeros of function and write the polynomial as a product of linear factorsX^3-x^2+9x-9

mart [117]

Answer:

$\large\boxed{x=1\ \vee\ x=-3i\ \vee\ x=3i}$

Step-by-step explanation:

$\text{The zeros:}\\\\x^3-x^2+9x-9=0\\\\x^2(x-1)+9(x-1)=0\\\\(x-1)(x^2+9)=0\iff x-1=0\ \vee\ x^2+9=0\\\\x-1=0\qquad\text{add 1 to both sides}\\x-1+1=0+1\\\boxed{x=1}\\\\x^2+9=0\qquad\text{subtract 9 from both sides}\\x^2=-9$

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4 years ago

Evaluate \dfrac n6+2

vagabundo [1.1K]

<h2>Explanation:</h2><h2></h2>

Here we have the following expression:

$\frac{n}{6}+2 \\ \\ \\ When: \\ \\ n=12$

What we need to do is to substitute $n=12$ into our expression. Therefore:

$\frac{n}{6}+2 \\ \\ \frac{n}{6}+2 =\frac{12}{6}+2 =2+2=4$

Finally, when evaluating $n=12$ into the expression the result is 4.

8 0

3 years ago

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Please help. Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

IrinaK [193]

Answer:

Step-by-step explanation:

y = 15(1.35)x

6 0

3 years ago

(X/2-3) - (4χ²+ x-4)

elixir [45]

(x/2 - 3) - (4x^2 + x - 4)

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(1/2x - 3) - (17x - 4)

-16.5x - 1

I believe that is the correct answer.

7 0

3 years ago

How long will it take for a radioactive isotope with a decay constant of 0.15 (which means a half life of 4.6 days ) to decay to

hichkok12 [17]

For half lives
$A=P(\frac{1}{2})^\frac{t}{h}$

A=final amount
P=present amount
t=time in some units (this case it is days)
h=half life in days in th is case

so
given
we want 5% left
so A=5% of P or 5/100 of P or 1/20 of P or 0.05P

h=4.6

so
$0.05P=P(\frac{1}{2})^\frac{t}{4.6}$
divide bth sides by P
$0.05=(\frac{1}{2})^\frac{t}{4.6}$
take ln of both sides
$ln(0.05)=ln(\frac{1}{2})^\frac{t}{4.6}$
$ln(0.05)=(\frac{t}{4.6})ln(\frac{1}{2})$
$ln(0.05)=(\frac{t}{4.6})ln(\frac{1}{2})$
divide both sides by $ln(\frac{1}{2})$
$\frac{ln(0.05)}{ln(\frac{1}{2})}=\frac{t}{4.6}$
times both sides by 4.6
$\frac{4.6ln(0.05)}{ln(\frac{1}{2})}=t$
use your calculator
19.889t
so after about 20 days

4 0

3 years ago

Read 2 more answers