2 years ago

Which of the following is an equation in the form y=ax^2+bx+c of the parabola in the graph

Mathematics

1 answer:

aliya0001 [1]2 years ago

8 0

Answer:

The answer is a quadratic equation

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What is the property of the equation 3x+5 - 5 = 20-5

Shalnov [3]

Answer:

x=5

Step-by-step explanation:

We simplify the equation to the form, which is simple to understand

3x+5-5=20-5

We move all terms containing x to the left and all other terms to the right.

+3x=+20-5-5+5

We simplify left and right side of the equation.

+3x=+15

We divide both sides of the equation by 3 to get x.

x=5

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FrozenT [24]

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3 years ago

Use the given transformation to evaluate the integral.

GuDViN [60]

For the transformation

$\begin{cases}x=7u+v\\y=u+7v\end{cases}$

the Jacobian is

$\dfrac{\partial(x,y)}{\partial(u,v)}=\begin{bmatrix}7&1\\1&7\end{bmatrix}$

with determinant

$\det\left(\begin{bmatrix}7&1\\1&7\end{bmatrix}\right)=48$

The vertices of the triangle in the $u,v$ -plane are

$(x,y)=(0,0)\implies(u,v)=(0,0)$

$(x,y)=(7,1)\implies(u,v)=(1,0)$

$(x,y)=(1,7)\implies(u,v)=(0,1)$

Then the integral is

$\displaystyle\iint_R(x-8y)\,\mathrm dA=-48\int_0^1\int_0^{1-v}(u+55v)\,\mathrm du\,\mathrm dv=\boxed{-448}$

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2 years ago