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dem82 [27]
2 years ago
11

Please help me i don’t even know where to start!

Mathematics
1 answer:
Damm [24]2 years ago
7 0

Answer:

b² + c² = 47

Step-by-step explanation:

Expand (b + c)² = 61

⇒   (b + c)(b + c) = 61

⇒  b² + 2bc + c² = 61

Substitute bc = 7 into b² + 2bc + c² = 61:

                                   b² + 2(7) + c² = 61

                                     b² + 14 + c² = 61

To determine b² + c² simply subtract 14 from both sides of the equation:

b² + c² = 47

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Mkey [24]

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3 0
3 years ago
Escribe un acto bueno de las personas y explica por qué es bueno​
Pie

Answer:

Un buen acto o acción podría ser el donar dinero a la caridad, o contribuir con alimentos a comedores sociales. Estas serían buenas acciones porque, sin ninguna duda, ayudarían a contribuir con el bienestar de la sociedad, a través de la realización de medidas efectivas para luchar contra la pobreza, el hambre y la desigualdad de la población.

4 0
3 years ago
The population of a certain species of insects increases exponentially according to the model, P(0) = 952e0.12t where P is the n
NeX [460]
Answer:

A) 952 insects are in the original colony

B) 10494 insects are in the colony after 20 weeks

C) 25 weeks

Explanations:

The model representing the population of the species of insects

P(t)=952e^{0.12t}

An exponential growth is of the form:

P(t)=P_0e^{kt}

where P₀ is the original population

t is the time taken in weeks

Comparing the two equations:

P_0=\text{ 952}

952 insects are in the original colony

B. The number of insects that will be in the colony after 20 weeks

Substituting t = 20 into the function given

\begin{gathered} P=952e^{0.12(20)} \\ \text{P = }10494 \end{gathered}

C) If the population, P = 20000

\begin{gathered} 20000=952e^{0.12t} \\ e^{0.12t}=\text{ }\frac{20000}{952} \\ e^{0.12t}=21.008 \\ 0.12t\text{ = ln(21.008)} \\ 0.12t\text{ = }3.04 \\ t\text{ = }\frac{3.04}{0.12} \\ t\text{ = }25 \end{gathered}

8 0
1 year ago
hali invested money into an account that is guaranteed to grow$28 each year. she graphs a line that represents the growth of the
tankabanditka [31]
If we take the graph with x as number of years and y as amount of dollars in it as mentioned in the equation;
gradient of the graph/ slope (m) = Change in y / change in x 
so if we take a certain portion of the graph 
x is the number of years, since we know the growth for one year,
lets take change in x as 1 year
y is amount of dollars, the change in amount of dollars for one year is 28
therefore change in y is 28
m(slope) = 28(change in y) / 1 (change in x)
              = 28
4 0
4 years ago
The prime factor of 180
alisha [4.7K]

Answer: 5*2*2*3*3

Step-by-step explanation:

First you divide 180 by 2 and you get 90. Then you proceed to divide that by 2 again and get 45. You will then divide 45 by 3 to get 15. Then divide 15 by 3 again and get 5, which cannot be divided any smaller.

180/2=90

90/2=45

45/3=15

15/3=5

6 0
3 years ago
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