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4 years ago

A ray bisects a straight angle into two congruent angles, which congruent angles are formed

1 answer:

6 0

<span>Straight Angle<span> = 180°
</span></span>each of the congruent angles = 180° /2 = 90° or Two right angles
I hope it helps you!!

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What is the range of this?

Sliva [168]

The range is y <= -1

8 0

4 years ago

Use the Chain Rule to find the indicated partial derivatives. z = x^4 + xy^3, x = uv^4 + w^3, y = u + ve^w Find : ∂z/∂u , ∂z/∂v

k0ka [10]

I'll use subscript notation for brevity, i.e. $\frac{\partial f}{\partial x}=f_x$ .

By the chain rule,

$z_u=z_xx_u+z_yy_u$

$z_v=z_xx_v+z_yy_v$

$z_w=z_xx_w+z_yy_w$

We have

$z=x^4+xy^3\implies\begin{cases}z_x=4x^3+y^3\\z_y=3xy^2\end{cases}$

and

$\begin{cases}x=uv^4+w^3\\y=u+ve^w\end{cases}\implies\begin{cases}x_u=v^4\\x_v=4uv^3\\x_w=3w^2\\y_u=1\\y_v=e^w\\y_w=ve^w\end{cases}$

When $u=1,v=1,w=0$ , we have

$\begin{cases}x(1,1,0)=1\\y(1,1,0)=2\end{cases}\implies\begin{cases}z_x(1,2)=12\\z_y(1,2)=12\end{cases}$

and the partial derivatives take on values of

$\begin{cases}x_u(1,1,0)=1\\x_v(1,1,0)=4\\x_w(1,1,0)=0\\y_u(1,1,0)=1\\y_v(1,1,0)=1\\y_w(1,1,0)=1\end{cases}$

So we end up with

$\boxed{\begin{cases}z_u(1,1,0)=24\\z_v(1,1,0)=60\\z_w(1,1,0)=12\end{cases}}$

3 0

3 years ago

(a+b)² is equal to ?

earnstyle [38]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Simplify. -4x^2-5(x+3)+x^2

Arte-miy333 [17]

-4x^2-5(x+3)+x^2 :

-4x^2-5x-15+x^2

-3x^2- 5x -15

6 0

3 years ago

Aubree is making pizzas for a pizza party. Each pizza requires 2/3 pound of cheese. How many pounds of cheese does she need to m

Stolb23 [73]

Answer:

10 2/3

Step-by-step explanation:

16 x 2/3

32/3 or 10 2/3

7 0

4 years ago