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patriot [66]
3 years ago
15

Systems of equations pls help!

Mathematics
1 answer:
timama [110]3 years ago
8 0
Equation 1 + equation 2

3x-8y +(-3x+10y) = 9+(-15)
2y= -6
then y=-3

from equation 1
3x-8y=9
3x-8(-3)=9
3x+24=9
3x=9-24=-15
then x=-5
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6 (-3+1) =5 (-2m-2) plz help me ;-----------------------------;
BigorU [14]
I think the answer is m=1/5
4 0
3 years ago
In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is
zheka24 [161]

Answer:

f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )

Step-by-step explanation:

Let:

M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y

This is and exact equation, because:

\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}

So, define f(x,y) such that:

\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)

The solution will be given by:

f(x,y)=C_1

Where C1 is an arbitrary constant

Integrate \frac{\partial f(x,y)}{\partial x} with respect to x in order to find f(x,y):

f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}

Substitute into \frac{\partial f(x,y)}{\partial y} =N(x,y)

2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y

Integrate \frac{dg(y)}{dy} with respect to y:

g(y)=\int\ {8y} \, dy =4y^2

Substitute g(y) into f(x,y):

f(x,y)=2x^2+4y^2+2xy

The solution is f(x,y)=C1

f(x,y)=2x^2+4y^2+2xy=C_1

Solving y using quadratic formula:

y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )

4 0
3 years ago
Explanations not just answers: Sarah measures the angle of elevation to the top of a tree as 23.6 degrees from the point which i
Reika [66]
See the attached diagram.

In the right triangle, x is opposite the 23.6 degree angle, and the adjacent side is 250 m.  This suggests using the tangent ratio.

\frac{x}{250}=\tan 23.6 ^\circ \\ x=250 \cdot \tan 23.6^\circ \approx 109.2

Finally, to get the height of the tree, add Sarah's height, 1.5 m.

The tree is approximately 110.7m tall.

6 0
3 years ago
⅜ of the animals at the zoo equals to 600. 40% of all the animals at the
raketka [301]

Answer:

960

Step-by-step explanation:

3/8*total number of animals = 600

total number of animals = 8/3 * 600 = 1600

number of animals fed = 40/100 * 1600 = 640

animals still to be fed = 1600 - 640 = 960

5 0
3 years ago
Classify the following triangle. Check all that apply.
Pachacha [2.7K]
That is a Right Triangle
7 0
3 years ago
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