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3 years ago

The triangles are similar. Show how they are similar and justify your answer.

Mathematics

2 answers:

8090 [49]3 years ago

4 0

I am not sure how to do rhis

atroni [7]3 years ago

3 0

Answer:

Step-by-step explanation:

It an enlargement because the smaller grows to the bigger triangle. The scale factor is 2 because all the coordinates double on the smaller triangle to the bigger triangle. You're very welcome!!

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Please I need some answers

Ilia_Sergeevich [38]

-6 x -4 = 24
24/-6 = -4
24/-4 = -6

Hope this helps :)

7 0

2 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

2 years ago

X+y=4 and x-y=6 substitution

vlabodo [156]

Y = -1
x = 5
jeng jeng jeng

4 0

2 years ago

Read 2 more answers

a restaurant has an all-you-can-eat buffet. They charge $13.95 per person. what is the constant of proportionality?

Evgen [1.6K]

Answer:

staurant has an all-you-can-eat buffet. They charge $13.95 per person. what is the constant of proportionality?

Step-by-step explanation:

3 0

3 years ago

8t-9 is less than or equal to 79

sattari [20]

Answer:

t ≤ 11 (or all values 11 or less)

Step-by-step explanation:

8t - 9 ≤ 79

So, I am assuming you are trying to find the value(s) of "t".

Add 9 to both sides.

8t ≤ 88

Divide 8 by both sides.

t ≤ 11

ANSWER

t ≤ 11

8 0

3 years ago