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2 years ago

What expression is equivalent to 4x-5-6x+7?

Mathematics

2 answers:

lesantik [10]2 years ago

4 0

Answer:

-2x + 2

Step-by-step explanation:

you didn't post choices but combining like terms you get

-2x + 2

myrzilka [38]2 years ago

3 0

Answer:

-2x +2

Step-by-step explanation:

Using a simplifiying property you get this answer. 4x -6x gives you -2x and -5+7 gives you +2

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Find the area of isosceles triangle whose each side is 13cm and base 24cm.show by heron's formula!!

Annette [7]

Answer:

Step-by-step explanation:

13*24=60

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3 years ago

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dezoksy [38]

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3 years ago

Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:

ryzh [129]

First find the critical points of f :

$f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7$

$\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1$

$\dfrac{\partial f}{\partial y}=6y=0\implies y=0$

so the point (1, 0) is the only critical point, at which we have

$f(1,0)=-7$

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

$f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t$

Find the critical points of g :

$\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0$

$\implies\sin t=0\text{ OR }1+5\cos t=0$

$\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi$

where n is any integer. We get 4 critical points in the interval [0, 2π) at

$t=0\implies f(10,0)=155$

$t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299$

$t=\pi\implies f(-10,0)=235$

$t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299$

So f has a minimum of -7 and a maximum of 299.

4 0

3 years ago

Simplify. 2(m + 11) 0 24 m O 2 m+ 22 O 2 m+ 11 O 22 m

krek1111 [17]

Answer:

2m + 22

Step-by-step explanation:

Use the distributive property.

2(m + 11)

2 x m = 2m

2 x 11 = 22

Therefore, 2m + 22

3 0

3 years ago

I need some help with this one

k0ka [10]

I believe the answer is 3

8 0

3 years ago