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WARRIOR [948]
3 years ago
8

Write the equation of the line that contains the points (2,-5) and (1,4).

Mathematics
1 answer:
Dafna1 [17]3 years ago
7 0

Answer:

y=-9x+13

Step-by-step explanation:

if the difference is 9, the Y intecept is 13, the rule is as stated above

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Orlov [11]
Rewrite equation so that it is homogeneous . 
ay'' +by' + cy = 0

Solve characteristic equation:
ar^2 +br + c = 0 \\ \\ r = \frac{(-b) \pm \sqrt{b^2 -4ac}}{2a} 

The solutions to the homogeneous equation are:
y = k_1 e^{r_1 t} + k_2 e^{r_2 t}

Finally you need the constant term in "cy" to equal 'd' to satisfy the particular solution.
y= k_1 e^{r_1 t} + k_2 e^{r_2 t} + \frac{d}{c}
4 0
3 years ago
Jonah finished 24 math problems in
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Answer:

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Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)
Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}

Now, we have to find the quotient of the above expression.

So, here we go:

Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)

Now, we will divide the above simplest form with g(x):

\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2

Hence, the quotient is (x-2).


6 0
3 years ago
Read 2 more answers
Which is a way to find 31+60
ira [324]
By adding the two together. 31 added to 60 would be 91
8 0
2 years ago
tell whether the ratio is in simplest form, if not, then write it in simplest form 1)8:6 2)48/28 3)7 to 9
Nady [450]

8/6= 1 1/3

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7/9 is in simplest form

8 0
3 years ago
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