1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ioda
3 years ago
11

find the point, M, that divides segment AB into a ratio of 5:2 if A is at (1,2) and B is at (8, 16).​

Mathematics
1 answer:
Paha777 [63]3 years ago
7 0

Answer:

Step-by-step explanation:

A(1,2) ---->(x1,y1)

B(8,16) ----->(x2,y2)

m:n = 5:2

M(\frac{x_{2}m+x_{1}}{m+n},y_{2}m+y_{1}}{m+n})\\\\=M(\frac{5*8+2*1}{5+2},\frac{5*16+2*2}{5+2})\\\\=M(\frac{40+2}{7},\frac{80+4}{7})\\\\=M(\frac{42}{7}{,\frac{84}{7})\\\\=M(6,12)

You might be interested in
PLAS HELP MAH IM ALMOST DONE >:( 25 POINTS AND BRAINLIEST!
Novay_Z [31]

Answer:

Remember, here -- with addition -- the parentheses are just extras there to throw you off track!

We can remove the parentheses:

7a + 9 + 4a - 7

Now simplify!

7a + 4a + 9 - 7

11a + 2

5 0
3 years ago
Someone please help!​
LUCKY_DIMON [66]

Answer:

10.

Step-by-step explanation:

Since 60 is the profit you need to make, you plug in 60 into P(x). So, you get the equation 60=0.3x^{2}+7x-40. The answer to this equation is 10. I think this is the correct answer.

5 0
2 years ago
Using the discriminant: b^2 -4ac,how many solutions does each of these equations have and what are they? (a).x^2 + 2x + 3=0 (b).
Alexus [3.1K]

Answer:

hi.........

.

.

.

.

baby..

.

.

.

.

5 0
2 years ago
Find the general solution of the equation: (y^2-2xy)dx + (2xy-x^2)dy = 0
lys-0071 [83]

The ODE is exact, since

\dfrac{\partial(y^2-2xy)}{\partial y}=2y-2x

\dfrac{\partial(2xy-x^2)}{\partial x}=2y-2x

so there is solution f(x,y)=C such that

\dfrac{\partial f}{\partial x}=y^2-2xy

\dfrac{\partial f}{\partial y}=2xy-x^2

Integrating both sides of the first PDE wrt x gives

f(x,y)=xy^2-x^2y+g(y)

Differentiating both sides wrt y gives

\dfrac{\partial f}{\partial y}=2xy-x^2+\dfrac{\mathrm dg}{\mathrm dy}=2xy-x^2

\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C

Then the solution to the ODE is

f(x,y)=\boxed{xy^2-x^2y=C}

# # #

Alternatively, we can see that the ODE is homogeneous, since replacing x\to tx and y\to ty reduces to the same ODE:

((ty)^2-2(tx)(ty))\,\mathrm d(tx)+(2(tx)(ty)-(tx)^2)\,\mathrm d(ty)=0

t^3(y^2-2xy)\,\mathrm dx+t^3(2xy-x^2)\,\mathrm dy=0

(y^2-2xy)\,\mathrm dx+(2xy-x^2)\,\mathrm dy=0

This tells us we can solve by substituting y(x)=xv(x), so that \mathrm dy(x)=x\,\mathrm dv(x)+v(x)\,\mathrm dx, and the ODE becomes

(x^2v^2-2x^2v)\,\mathrm dx+(2x^2v-x^2)(x\,\mathrm dv+v\,\mathrm dx)=0

v(v-2)\,\mathrm dx+(2v-1)(x\,\mathrm dv+v\,\mathrm dx)=0

3v(v-1)\,\mathrm dx+x(2v-1)\,\mathrm dv=0

which is separable as

\dfrac{1-2v}{3v(v-1)}\,\mathrm dv=\dfrac{\mathrm dx}x

Integrating both sides gives

-\dfrac13\ln|v(1-v)|=\ln|x|+C

v(1-v)=\dfrac C{x^3}

and solving in terms of y(x),

\dfrac yx\left(1-\dfrac yx\right)=\dfrac C{x^3}

xy(x-y)=C

\boxed{x^2y-xy^2=C}

6 0
3 years ago
Simplify the expression:<br> 3x + 5x + 6x – 4
geniusboy [140]

Answer:

14x-4

Step-by-step explanation:

So you know 3x +5x = 8x so then you add 6x and put -4

7 0
2 years ago
Read 2 more answers
Other questions:
  • Please help.
    12·2 answers
  • A ripe pear falls from a tree and lands on the ground. As it hit the ground, the pear had a speed of 34 feet per second. Approxi
    12·2 answers
  • en una granja hay 300 gallinas que se comen un camion de grano en 20 dias . si se compran 10 gallinas mas en cuanto tiempo se co
    6·1 answer
  • Which of the following is the correct graph of the linear equation below? y+3=-2/3(x-4)
    5·1 answer
  • I need help is it A B C Or D
    14·1 answer
  • What is the equation for this
    15·2 answers
  • If f(x)=3x+2, find the following value:<br> f(4)=?
    8·1 answer
  • given f(x)=3^x-2 and g(x)=f(3x)+4, write the function rule for function g and describe the types of transformations that occur b
    10·2 answers
  • Solve the systems algebraically please help :(
    6·1 answer
  • Which describes the difference between the two sequences?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!