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2 years ago

Explain the difference between proving triangles congruent using the SAS and SSS congruence postulates.

Mathematics

1 answer:

Tju [1.3M]2 years ago

7 0

Answer:

SAS means the share a common side then an angel then another side SSS means all of the sides are equal

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Which rational number could be graphed between -3 and -4?

grandymaker [24]

Answer:

It should be -3.75 because of how close .75 is rounding up to the next number which is -4

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4 years ago

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Use the Chain Rule to find the indicated partial derivatives. u = x2 + yz, x = pr cos(θ), y = pr sin(θ), z = p + r; (partial u)/

devlian [24]

$u(x,y,z)=x^2+yz$

$\begin{cases}x(p,r,\theta)=pr\cos\theta\\y(p,r,\theta)=pr\sin\theta\\z(p,r,\theta)=p+r\end{cases}$

At the point $(p,r,\theta)=(2,2,0)$ , we have

$\begin{cases}x(2,2,0)=4\\y(2,2,0)=0\\z(2,2,0)=4\end{cases}$

Denote by $f_x:=\dfrac{\partial f}{\partial x}$ the partial derivative of a function $f$ with respect to the variable $x$ . We have

$\begin{cases}u_x=2x\\u_y=z\\u_z=y\end{cases}$

The Jacobian is

$\begin{bmatrix}x_p&x_r&x_\theta\\y_p&y_r&y_\theta\\z_p&z_r&z_\theta\end{bmatrix}=\begin{bmatrix}r\cos\theta&p\cos\theta&-pr\sin\theta\\r\sin\theta&p\sin\theta&pr\cos\theta\\1&1&0\end{bmatrix}$

By the chain rule,

$u_p=u_xx_p+u_yy_p+u_zz_p=2xr\cos\theta+zr\sin\theta+y$

$u_p(2,2,0)=2\cdot4\cdot2\cos0+4\cdot2\sin0+0\implies\boxed{u_p(2,2,0)=16}$

$u_r=u_xx_r+u_yy_r+u_zz_r=2xp\cos\theta+zp\sin\theta+y$

$u_r(2,2,0)=2\cdot4\cdot2\cos0+4\cdot2\sin0+0\implies\boxed{u_r(2,2,0)=16}$

$u_\theta=u_xx_\theta+u_yy_\theta+u_zz_\theta=-2xpr\sin\theta+zpr\cos\theta$

$u_\theta(2,2,0)=-2\cdot4\cdot2\cdot2\sin0+4\cdot2\cdot2\cos0\implies\boxed{u_\theta(2,2,0)=16}$

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3 years ago

How can you use the distributive property to rewrite 15p+10q as a product?

MrRa [10]

Answer:

Both of those terms are divisible by 5, so you could express it also as

5(3p + 2q)

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3 years ago

Helpp i’m confused !!!!

pshichka [43]

Answer:

Step-by-step explanation:

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3 years ago

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Help please Um idk what’s going on

Arada [10]

The answer would be A.) since f(-2)=x+3 leads to f(-2)= -1/2x + -3/2 which is -2 since -4/2 is -2, so then we have f=-1

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4 years ago

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