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3 years ago

How do you solve 13y^2-5yx-8x^2

2 answers:

8 0

Step 1 :Simplify 13y2-5yx - 23x2
1.1 Factoring 13y2 - 5yx - 8x2 Try to factor this multi-variable trinomial using trial and error Found a factorization : (y - x)•(13y + 8x)
Final result : (y - x) • (13y + 8x)

Alex_Xolod [135]3 years ago

8 0

Answer:

(13y+8)(y-x)

Step-by-step explanation:

13 $y^{2}$ - 5yx -8 $x^{2}$

we can solve above equation by using splitting the middle term

we can factorize it by splitting the middle term

13 $y^{2}$ - 5yx -8 $x^{2}$

=13 $y^{2}$ - 13yx+8yx -8 $x^{2}$

=13y(y-x)+8x(y-x)

=(13y+8)(y-x)

There are the two factors because the degree of the polynomial is 2

Hence, the correct answer is (13y+8)(y-x)

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Can someone explain this to me?

Deffense [45]

Answer:

200

Step-by-step explanation:

So its basically you multiply the length by the width which is 15 times 5 which is 75 then you multiply 75 times 4 which is 200 so the answer is 200.

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2 years ago

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Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = Preview

svetlana [45]

Answer: The required solution is

$y=(-2+t)e^{-5t}.$

Step-by-step explanation: We are given to solve the following differential equation :

$y^{\prime\prime}+10y^\prime+25y=0,~~~~~~~y(0)=-2,~~y^\prime(0)=11~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Let us consider that

$y=e^{mt}$ be an auxiliary solution of equation (i).

Then, we have

$y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.$

Substituting these values in equation (i), we get

$m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.$

So, the general solution of the given equation is

$y(t)=(A+Bt)e^{-5t}.$

Differentiating with respect to t, we get

$y^\prime(t)=-5e^{-5t}(A+Bt)+Be^{-5t}.$

According to the given conditions, we have

$y(0)=-2\\\\\Rightarrow A=-2$

and

$y^\prime(0)=11\\\\\Rightarrow -5(A+B\times0)+B=11\\\\\Rightarrow -5A+B=11\\\\\Rightarrow (-5)\times(-2)+B=11\\\\\Rightarrow 10+B=11\\\\\Rightarrow B=11-10\\\\\Rightarrow B=1.$

Thus, the required solution is

$y(t)=(-2+1\times t)e^{-5t}\\\\\Rightarrow y(t)=(-2+t)e^{-5t}.$

6 0

3 years ago

A batter hits a baseball into the air

azamat

The answer is h(5) = 75.

Where x=5, y=75

4 0

3 years ago

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Log(1+y) - log(1-y) = log x in 2 decimal places, express y in terms of x

GaryK [48]

Answer: $y = \frac{x-1}{x+1}$

Step-by-step explanation:

$log(1+y) - log(1-y) = log x \\log\frac{1+y}{1-y} =log x\\x = \frac{1+y}{1-y}\\x(1-y)=1+y\\x-xy=1+y\\x-1 = xy+y\\y(x+1)=x-1\\y=\frac{x-1}{x+1}$

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3 years ago

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The manager at a golf course found that the population mean length of the holes at the golf courses is 415.9 yd. In this contex

tekilochka [14]

The manager at a golf course found that the population mean length of the holes at the golf courses is 415.9 yd. In this context, is the number 415.9 a parameter or a statistic?

Answer: The number 415.9 is a parameter because it represents the population characteristic.

Explanation:

Parameter: Parameters are numbers that summarize the entire population. For example the population mean summarizes the entire population, similarly population standard deviation describes the characteristic of entire population.

Statistic: Statistic are numbers that describes the sample. For example, the sample mean summarizes the sample which is drawn from the population, similarly the sample standard deviation describes the characteristic of sample.

Therefore, the population mean length of the holes at the golf courses (415.9 yd) is parameter.

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