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Likurg_2 [28]
3 years ago
15

Vertical angles must be:

Mathematics
1 answer:
AlexFokin [52]3 years ago
3 0
Vertical angles are congruent (equal in measure) and they have the same vertex point. 
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The area of a rectangle painiting is given by the trinomial x^2-9x-36. what are the possible dimensions of the painting ? use fa
bagirrra123 [75]
<span> (x + 3) • (x - 12)
</span>

The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span> 

Step-2 : Find two factors of  -36  whose sum equals the coefficient of the middle term, which is  <span> -9 </span>.

<span><span>     -36   +   1   =   -35</span><span>     -18   +   2   =   -16</span><span>     -12   +   3   =   -9   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  3 
                     <span>x2 - 12x</span> + 3x - 36

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-12)
              Add up the last 2 terms, pulling out common factors :
                    3 • (x-12)
Step-5 : Add up the four terms of step 4 :
                    (x+3)  •  (x-12)
             Which is the desired factorization

Final result :<span> (x + 3) • (x - 12)</span>
8 0
3 years ago
The simplified form of 3root45 - root 125 + root 500
bazaltina [42]

Answer:

the answer and explanation is in the picture

please like and Mark as brainliest

hope this helps

5 0
2 years ago
There are approximately 7.7 billion humans on Earth. If the virus spreads beyond the 200-person town, how long will it be until
eimsori [14]

Answer:

25.2 weeks until everyone on the planet is infected

Step-by-step explanation:

The number of infected people after t weeks has the following format:

P(t) = P(0)(1+r)^{t}

In which P(0) is the initial number of infected people and r is the growth rate, as a decimal.

The number of infected people doubles every week

This means that P(1) = 2P(0)

So

P(t) = P(0)(1+r)^{t}

2P(0) = P(0)(1+r)

1 + r = 2

r = 1

So

P(t) = P(0)*(2)^{t}

200-person town

This means that P(0) = 200

So

P(t) = P(0)*(2)^{t}

P(t) = 200*(2)^{t}

How long will it be until everyone on the planet is infected?

This is t for which P(t) = 7700000000[/tex]

So

P(t) = 200*(2)^{t}

7700000000 = 200*(2)^{t}

2^{t} = \frac{7700000000}{200}

\log{2^{t}} = \log{\frac{7700000000}{200}}

t\log{2} = \log{\frac{7700000000}{200}}

t = \frac{\log{\frac{7700000000}{200}}}{\log{2}}

t = 25.2

25.2 weeks until everyone on the planet is infected

4 0
3 years ago
F(x) = x^2. What is g(x)?
fredd [130]

Good evening ,

Answer:

B. g(x)= -x² - 4

___________________

Step-by-step explanation:

The graph of g is downward facing then we must have (-) before the x²

Since, The vertex of parabola g is on point (0 ,-4) then we have to subtract 4.

:)

3 0
3 years ago
6/15 divided by 4/21 = ?
Studentka2010 [4]
Keep 6/15 the same and change Division sign into a multiplication sign and flip 4/21 and that will become 21/4. \frac{6}{15}* \frac{21}{4}= \frac{126}{60} 126/60=21/10 and 21/10 as a mixed number is 2 1/10 so your answer is 2 1/10. Hoped I helped. :)
6 0
3 years ago
Read 2 more answers
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