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2 years ago

13

Determine the slope of the line passing through (4, −2) and (7, 10).

1 answer:

Paha777 [63]2 years ago

8 0

Answer:

4

Step-by-step explanation:

Point slope Formula: y2-y1/x2-x1

10+2/7-4

=4

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Solve for x.<br><br> 2(x-4)=x + 4 <br><br> X=___

guapka [62]

2x-8=x+4
Get the x to the other side and the 8 to the opposite
2x-x=4+8
X=12

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3 years ago

I need help on this question

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Use the discriminant to determine how many and what kind of solutions the quadratic equation 3x^2 + 4x = - 5 has.

leonid [27]

Answer:

C.

Step-by-step explanation:

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2 years ago

Solve the equation!3 tan^3θ = tan θ

andreev551 [17]

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3 tan³ t - tan t = 0
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3 years ago

Solve the following differential equation: (1− 5 y +x) dy/dx +y= 5/x −1 .<br><br> C=

Ganezh [65]

Answer:

$y(1+x)+x-5\ln xy=C$

Step-by-step explanation:

Consider the given differential equation is

$(1-\frac{5}{y}+x)\frac{dy}{dx}+y=\frac{5}{x}-1$

$(1-\frac{5}{y}+x)\frac{dy}{dx}=\frac{5}{x}-1-y$

$(1-\frac{5}{y}+x)dy=(\frac{5}{x}-1-y)dx$

Taking all variables on right sides.

$(1-\frac{5}{y}+x)dy-(\frac{5}{x}-1-y)dx=0$

$(-\frac{5}{x}+1+y)dx+(1-\frac{5}{y}+x)dy=0$

Let as assume,

$M=-\frac{5}{x}+1+y$ and $N=1-\frac{5}{y}+x$

Find partial derivatives $\frac{\partial M}{\partial y}$ and $\frac{\partial N}{\partial x}$

$\frac{\partial M}{\partial y}=1$ and $\frac{\partial N}{\partial x}=1$

Since $\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$ , therefore the given differential equation is exact.

The solution of the exact differential equation is

$\int Mdx+\int N(\text{without x)}dy=C$

$\int (-\frac{5}{x}+1+y)dx+\int (1-\frac{5}{y})dy=C$

$yx-5\ln x+x+y-5\ln y=C$

$y+x+xy-5\ln x-5\ln y=C$

$y(1+x)+x-5(\ln x+\ln y)=C$

$y(1+x)+x-5\ln xy=C$

7 0

3 years ago