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2 years ago

9

The coordinates A(0,0), B(0,3), C(4,3) and D(4,0) are graphed and connected together. What 3 dimensional shape will be created w

hen this shape is rotated about the y-axis?

1 answer:

seraphim [82]2 years ago

4 0

a cube would be formed as ABCD form a square when graphed

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Alyssa scored x goals during the soccer game yesterday. Today she scored 3 times as many goals. She scored a total of 4 goals du

damaskus [11]

Answer:

Alyssa had scored 3 goals today.

Step-by-step explanation:

Given:

Number of goals scored yesterday = $x$

Total number of goals scored in 2 games = 4

We need to find the number of goals scored today.

Solution:

Now Given:

Today she scored 3 times as many goals than yesterday.

So we can say that;

Number of goals scored today = $3x$

Now we know that;

Total number of goals scored in 2 games is the sum of Number of goals scored yesterday and Number of goals scored today.

framing in equation form we get;

$x+3x=4\\\\4x=4$

Dividing both side by 4 we get;

$\frac{4x}{4} =\frac{4}{4}\\\\x=1$

Number of goals scored yesterday = 1

Number of goals scored today = $3x = 3\times1 =3$

Hence Alyssa had scored 3 goals today.

6 0

2 years ago

Consider f and c below. f(x, y) = (3 + 4xy2)i + 4x2yj, c is the arc of the hyperbola y = 1/x from (1, 1) to 3, 1 3 (a) find a fu

irga5000 [103]

We want to find a scalar function $f(x,y)$ such that $\nabla f(x,y)=\mathbf f(x,y)=\dfrac{\partial f}{\partial x}\,\mathbf i+\dfrac{\partial f}{\partial y}\,\mathbf j$ .
So we need to have
$\dfrac{\partial f}{\partial x}=3+4xy^2$
Integrating both sides with respect to $x$ gives
$f(x,y)=3x+2x^2y^2+g(y)$
Differentiating with respect to $y$ gives
$\dfrac{\partial f}{\partial y}=4x^2y+\dfrac{\mathrm dg}{\mathrm dy}=4x^2y$ $\implies\dfrac{\mathrm dg}{\mathrm dy}=0$ $\implies g(y)=C$
So we find that
$f(x,y)=3x+2x^2y^2+C$
By the fundamental theorem of calculus, we then know the line integral depends only on the values of $f(x,y)$ at the endpoints of the path. Therefore

$\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f\left(3,\frac13\right)-f(1,1)=11-5=6$

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2 years ago

Solve for a: am=n+p <br><br> Help me

ss7ja [257]

Answer:

a = (n + p)/m

Step-by-step explanation:

just divide by m on both sides

hope this helped!

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2 years ago

Can someone help ASAP this is missing and destroyed my grade

maria [59]

Answer:

A

Step-by-step explanation:

6ft plus 1 3/4 is 7 3/4

Sorry for minimum explanation but I hope it helped!

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2 years ago

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Bill makes leather shoes. He charges $45 for a pair of women's shoes and $50 for a pair of men's shoes. He sells x pairs of wome

BabaBlast [244]

Hello,

<span>
Let's
x pairs of women’s shoes sold
</span>y<span> pairs of men’s shoes sold
R(x,y)=45*x+50y=2500 (each week)

Or the week, =0 =>50*y=2500=>y=500.
</span>

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2 years ago