The segment show below form a triangle True or false?

Mathematics

1 answer:

seropon [69]3 years ago

5 0

Answer:

true

Step-by-step explanation:

because it would be

You might be interested in

Find the extreme values of f subject to both constraints. (if an answer does not exist, enter dne.) f(x, y, z) = x + 2y; x + y +

Mariana [72]

Using the method of Lagrange multipliers, we have the Lagrangian

$L(x,y,z,\lambda_1,\lambda_2)=x+2y+\lambda_1(x+y+z-4)+\lambda_2(y^2+z^2-4)$

with partial derivatives (set equal to 0)

$L_x=1+\lambda_1=0\implies\lambda_1=-1$
$L_y=2+\lambda_1+2\lambda_2y=0\implies\lambda_2y=-\dfrac12$
$L_z=\lambda_1+2\lambda_2z=0\implies\lambda_2z=\dfrac12$
$L_{\lambda_1}=x+y+z-4=0$
$L_{\lambda_2}=y^2+z^2-4=0$

From $L_y$ and $L_z$ , we find that $\lambda_2y=-\lambda_2z\implies y=-z$ . Then substituting into $L_{\lambda_2}$ , we find

$y^2+z^2=4\implies2y^2=4\implies y=\pm\sqrt2\implies z=\mp\sqrt2$

and substituting these into $L_{\lambda_1}$ , we get

$x+y+z=4\implies x=4$

So we have two possible critical points, $(4,\pm\sqrt2,\mp\sqrt2)$ , which give extreme values of $4+2\sqrt2$ and $4-2\sqrt2$ , respectively.

5 0

3 years ago

3x-2y=13 and 2x+3y=-16

Marysya12 [62]

If youre trying to solve for the variables you have to solve for one of them in one equation first, so if you solved for x in 2x+3y=16 youd get x=8-(3/2)y. Then youd have to sub in that x for the x in the other equation so youd get 3(8-(3/2)y)-2y=13 then solve for y. Once you have the value of y it should be the same in both equations. Plug that new value of y into the equation of youre choosing then sove for x

5 0

4 years ago

The function y = -0.296x^2 + 2.7x models the length x and height y that your sisters rabbit can jump, in centimeters. How high d

aivan3 [116]

Since the function and choices are already given, the simplest method would be to try out the given values of x and see if the value of y obtained and given int he choices would coincide. Using this trial and error method, it has been shown that the correct answer among the choices is choice C, with the solution shown below:

y = -0.296x^2 + 2.7x

Using (4.6, 6.2):

y = -0.296(4.6)^2 + 2.7(4.6)
y = 6.2

8 0

3 years ago

Can you please help me please please help

Triss [41]

Answer:

there is the answers❤ sorry its a little blurry