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3 years ago

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al atardecer un árbol proyecta una sombra de 2,5 m de longitud. Si la distancia desde la parte más alta del árbol al extremo más

alejado de la sombra es de 4 metros.¿Cual es la altura del árbol?

1 answer:

frez [133]3 years ago

3 0

Answer:

no copies o lo busques el link que te mando porque tiene virus ok

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4m exponent 2 + 5m<br><br> help please

Gnesinka [82]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

4m exponent 2 + 5m.

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

By.. 4m exponent 2, I'm going to assume that you meant this ⇨ 4m². If so, then here's how you should solve your question. I've included 2 ways of solving the question. You can choose your method. I'd suggest the 2nd one since it's a whole lot easier than the first method.

<h3><u>Method </u><u>1</u><u> </u><u>:</u><u>-</u></h3>

$\tt \: 4m ^ { 2 } +5m \\$

Quadratic polynomial can be factored using the transformation $\tt\: ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right)$ , where $\tt\:x_{1} and x_{2}$ are the solutions of the quadratic equation ax²+bx+c=0.

$\tt \: 4m^{2}+5m=0$

All equations of the form ax²+bx+c=0 can be solved using the quadratic formula: $\tt\frac{-b±\sqrt{b^{2}-4ac}}{2a}\\$ . The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

$\tt \: m=\frac{-5±\sqrt{5^{2}}}{2\times 4} \\$

Take the square root of 5².

$\tt \: m=\frac{-5±5}{2\times 4} \\$

Multiply 2 times 4.

$\tt \: m=\frac{-5±5}{8} \\$

Now solve the equation m= $\tt\frac{-5±5}{8}$ when ± is plus. Add -5 to 5.

$\tt \: m=\frac{0}{8} \\ \\ \tt \: m = 0$

Now solve the equation m= $\tt\frac{-5±5}{8}$ when ± is minus. Subtract 5 from -5.

$\tt \: m=\frac{-10}{8} \\$

Reduce the fraction -10/8 to its lowest terms by extracting and cancelling out 2.

Factor the original expression using $\tt\:ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right)$ . Substitute 0 for $\tt\:x_{1} \:and \:-\frac{5}{4} \:for\: x_{2}$ .

$\tt \: 4m^{2}+5m=4m\left(m-\left(-\frac{5}{4}\right)\right) \\$

Simplify all of the expressions of the form $\tt\:p-\left(-q\right)$ to p+q.

$\tt \: 4m^{2}+5m=4m\left(m+\frac{5}{4}\right) \\$

Add 5/4 to m by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.

$\tt \: 4m^{2}+5m=4m\times \left(\frac{4m+5}{4}\right) \\$

Cancel out 4, the greatest common factor in 4 and 4.

$\tt \: 4m^{2}+5m= \boxed{\boxed{\bf \: m\left(4m+5\right) }}$

<em><u>Don't</u></em><em><u> </u></em><em><u>worry.</u></em><em><u> </u></em><em><u>If </u></em><em><u>this </u></em><em><u>process</u></em><em><u> </u></em><em><u>seems </u></em><em><u>long </u></em><em><u>&</u></em><em><u> </u></em><em><u>wears </u></em><em><u>you</u></em><em><u> </u></em><em><u>out </u></em><em><u>or </u></em><em><u>if </u></em><em><u>you </u></em><em><u>haven't</u></em><em><u> </u></em><em><u>learned</u></em><em><u> </u></em><em><u>the </u></em><em><u>biquadratic</u></em><em><u> formula</u></em><em><u> </u></em><em><u>yet,</u></em><em><u> </u></em><em><u>you </u></em><em><u>can </u></em><em><u>just </u></em><em><u>use </u></em><em><u>the </u></em><em><u>simple </u></em><em><u>method</u></em><em><u> of</u></em><em><u> </u></em><em><u>factoring </u></em><em><u>out </u></em><em><u>the </u></em><em><u>common</u></em><em><u> </u></em><em><u>term </u></em><em><u>(</u></em><em><u>m)</u></em><em><u>.</u></em><em><u> </u></em><em><u>Here's</u></em><em><u> how</u></em><em><u> you</u></em><em><u> </u></em><em><u>do </u></em><em><u>that </u></em> $\downarrow$

<h3><u>Method</u><u> </u><u>2</u><u> </u><u>:</u><u>-</u></h3>

$\tt \: 4m ^ { 2 } +5m$

Factor out m.

$= \boxed{ \boxed{ \bf \: m\left(4m+5\right) }}$

See, the second method is easier. But, if your question comes for a lot of marks then you might prefer using the first method.

8 0

3 years ago

Find the quotient: <br><br> (-9w^4 + 7w^2) / -w

weqwewe [10]

Answer:

$\frac{ - 9 {w}^{4} + 7 {w}^{2} }{ - w} \\ \frac{{w ^{2} }( - 9 {w}^{2} + 7) }{ - w} \\ - w( - 9 {w}^{2} + 7) \\ = 9 {w}^{3} - 7w$

7 0

3 years ago

The height (in feet) of a certain rocket t seconds after it leaves the ground is modeled by

wolverine [178]

Answer:

The answer is 1/2 second

Step-by-step explanation:

Hope this helps

7 0

3 years ago

A towing company charges a flat fee of $50 in addition to $2 a mile to tow vehicles.

olga nikolaevna [1]

Y=MX+B
Y= 2X+50
And we don’t know how long they are getting towed but when we find that out we plug it into X

4 0

3 years ago

Write a function rule for the table.<br> x ƒ(x)<br> 3 –1<br> 4 0<br> 5 1<br> 6 2

MaRussiya [10]

Answer:

Step-by-step explanation:

When one variable depends on another variable according to a rule it is known as function:

For example if you want an output of 2 and the input value is 4. Then you will subtract 4 from x

We have to find x f(x).

x f(x) =?

f(x) = x-4

Now input value is: x= 3

x f(x)

3 (x-4)

3 (3-4)

3 -1

Now x= 4

x f(x)

4 (x-4)

4 (4-4)

4 0

Now x=5

x f(x)

5 (x-4)

5 (5-4)

5 1

Now x=6

x f(x)

6 (x-4)

6 (6-4)

6 2 ....

3 0

3 years ago