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dimaraw [331]
3 years ago
10

Solve the equation by factoring. z^2-6z-27=0

Mathematics
1 answer:
Brrunno [24]3 years ago
7 0
Z² -<span> 6z - 27 = 0
</span>z² + 3z - 9z - 27 = 0
z(z+3) - 9(z+3) = 0
(z+3)(z-9) = 0

z + 3 = 0   or   z - 9 = 0
z = -3              z = 9

Answer: z=-3 and z=9  
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PLEASE HELP!!! A.S.A.P!!
Ksivusya [100]

Answer:

142m

Step-by-step explanation:

This problem can be solved by simply using the pythagorean theorem, as you stated at the beginning of the problem, which is: a^{2} +b^{2} =c^{2}

You are given the <em>a</em> side and <em>b</em> side that are needed for this equation, so it's all a matter of plugging in the information you have:

110^{2} +90^{2} =c^{2}

110^{2} =12100

90^{2} =8100

12100+8100=c^{2}

20200=c^{2}

Now, because the <em>c</em> is still squared, you must take the square root of 20200 in order to get the length of just side <em>c</em>:

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7 0
3 years ago
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givi [52]
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4 0
3 years ago
Input the equation of the given line in slope-intercept form. The line with m = 2 and b = -4.
lukranit [14]

Answer:

y = 2x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

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4 0
3 years ago
The population of a city is modeled by the equation P(t)=232012e0.23t where t is measure in years. If the city continues to grow
Gennadij [26K]

In around 6.35 years, the population will be 1 million.

<h3> how many years will it take for the population to reach one million?</h3>

The population is modeled by the exponential equation:

P(t) = 232,012*e^{0.23*t}

Then we just need to solve the equation for t:

P(t) = 232,012*e^{0.23*t} = 1,000,000

Let's solve that:

232,012*e^{0.23*t} = 1,000,000\\\\e^{0.23*t} = 1,000,000/232,012 = 4.31\\

If we apply the natural logarithm to both sides:

ln(e^{0.23*t}) = ln(4.31)\\\\0.23*t = ln(4.31)\\\\t = ln(4.31)/0.23 = 6.35

So in around 6.35 years, the population will be 1 million.

If you want to learn more about exponential equations:

brainly.com/question/11832081

#SPJ1

5 0
2 years ago
Carla has already written 10 pages of a novel. she plans to write 15 additional pages per month until she is finished. write and
grin007 [14]
Linear Equation: 15m+10=w
15 pages written for every month for 5 months plus the 10 pages she has already written is equal to the total number of pages written in 5 months.
m= number months written. In this case, it is 5 months.
w= number of pages written in 5 months
15(5)+10=w
75+10=w
85 pages written=w
Carla will have written 85 pages in 5 months.
4 0
3 years ago
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